Publications


  1. William Y.C. Chen and Ken Y. Zheng, The Log-Behavior of and , Ramanujan J., to appear. arXiv:1511.02558.  [citations 0]

  2. William Y.C. Chen, Alan J.X. Guo, Peter L. Guo, Harry H.Y. Huang, and Thomas Y.H. Liu, s-Inversion sequences and P-partitions of type B, SIAM J. Discrete Math. to appear. arXiv:1310.5313.   [citations 3].

  3. William Y.C. Chen and Amy M. Fu, Context-free grammars for permutations and increasing trees. Adv. in Appl. Math. 82 (2017) 58-82. arXiv:1408.1859.   [citations 4].

  4. William Y.C. Chen, Qing-Hu Hou, and Doron Zeilberger, Automated discovery and proof of congruence theorems for partial sums of combinatorial sequences. J. Difference Equ. Appl. 22(6) (2016) 780-788. [citation 2 ].

  5. Joanna N. Chen and William Y.C. Chen, On permutations with bounded drop size, European J. Combin. 54 (2016) 138-153. arXiv:1306.5428.   [citations 0].

  6. William Y.C. Chen, Qing-Hu Hou, Lisa H. Sun, and Li Zhang, Ramanujan-type congruences for overpartitions modulo 16, Ramanujan J. 40(2) (2016) 311-322. arXiv:1408.1597.   [citations 4].

  7. William Y.C. Chen, Harry H.Y. Huang, and Larry X.W. Wang, Average size of a self-conjugate (s, t)-core partition. Proc. Amer. Math. Soc. 144(4) (2016) 1391-1399. arXiv:1405.2175..   [citations 11].

  8. William Y.C. Chen, Kathy Q. Ji, and Wenston J.T. Zang, The spt-crank for ordinary partitions, J. Reine Angew. Math. 711 (2016) 231-249. arXiv:1308.3012.    [citations 2].

  9. William Y.C. Chen, Larry X.W. Wang and Gary Y.B. Xie, Finite differences of the logarithm of the partition function Math. Comput. 85(298) (2016) 825-847 ; arXiv:1407.0177.   [citations 2].

  10. William Y.C. Chen, Peter L. Guo, and Sabrina X.M. Pang, Vacillating Hecke tableaux and linked partitions, Math. Z. 281(3-4) (2015) 661-672. arXiv:1405.3849.   [citations 0].

  11. William Y.C. Chen, Jeremy J.F. Guo, and Larry X.W. Wang, Zeta functions and the log behavior of combinatorial sequences, Proc. Edinburgh Math. Soc. (2) 58(3) (2015) 637-651. arXiv:1208.5213.   [citations 7].

  12. William Y.C. Chen, Doris D.M. Sang, and Diane Y.H. Shi, An overpartition analogue of Bressoud's theorem of Rogers-Ramanujan-Gordon type. Ramanujan J. 36(1-2) (2015) 69-80; arXiv:1203.4302.   [citations 3].

  13. William Y.C. Chen, Kathy Q. Ji, and Wenston J.T. Zang, Proof of the Andrews-Dyson-Rhoades conjecture on the spt-crank, Adv. Math. 270 (2015) 60-96. arXiv:1305.2116.   [citations 3].

  14. William Y.C. Chen, Lisa H. Sun, Rong-Hua Wang, and Li Zhang, Ramanujan-type congruences for overpartitions modulo 5, J. Number Theory 148 (2015) 62-72; arXiv:1406.3801.   [citations 5].

  15. William Y.C. Chen, Qiang-Hui Guo, Lisa H. Sun and Jian Wang, Zigzag stacks and m-regular linear stacks, J. Comput. Biol. 21(12) (2014) 915-935; arXiv:1406.0947.   [citations 1].

  16. William Y.C. Chen and Peter L. Guo, Equivalence classes of full-dimensional 0/1-polytopes with many vertices, Discrete Comput. Geom. 52(2) (2014) 630-662; arXiv:1101.0410.   [citations 2] .

  17. William Y.C. Chen, Daniel K. Du, Qing-Hu Hou and Lisa H.Sun, Congruences of multipartition functions modulo powers of primes, Ramanujan J. 35 (2014) 1-19; arXiv:1206.6642.   [citations 2].

  18. William Y.C. Chen, Neil J.Y. Fan, Alan J.X. Guo, Peter L. Guo, Harry H.Y. Huang, and Michael X.X. Zhong, Combinatorial proof of the inversion formula on the Kazhdan-Lusztig R-polynomials, Math. Z. 277 (3-4) (2014) 1017-1025.; arXiv:1304.0061.   [citations 0].

  19. William Y.C. Chen, Anna R.B. Fan, and Rebecca T. Yu, Ramanujan-type congruences for broken 2-diamond partitions modulo 3, Sci. China Math. 57(8) (2014) 1553-1560; arXiv:1304.0661.    [citations 5].

  20. Joanna N. Chen, William Y.C. Chen, and Robin D.P. Zhou, On pattern avoiding alternating permutations, European J. Combin. 40 (2014) 11-25; arXiv:1212.2697.   [citations 1].

  21. William Y.C. Chen and Ernest X.W. Xia, Proof of a conjecture of Hirschhorn and Sellers on overpartitions, Acta Arith. 163(1) (2014) 59-69; arXiv:1307.4155.    [citations 12].

  22. William Y.C. Chen, Kathy Q. Ji, and Erin Y.Y. Shen, On the positive moments of ranks of partitions, Electron. J. Combin. 21(1) (2014) #P1.29. arXiv:1310.8556.   [citations 0].

  23. William Y.C. Chen, Alvin Y.L. Dai, and Robin D.P. Zhou, Ordered partitions avoiding a permutation pattern of length 3, European J. Combin. 36 (2014) 416-424; arXiv:1304.3187.   [citations 4].

  24. William Y.C. Chen, Jeremy J. F. Guo, and Larry X. W. Wang, Infinitely Log-monotonic combinatorial sequences, Adv. Appl. Math. 52 (2014) 99-120; arXiv:1304.5160.   [citations 13].

  25. William Y.C. Chen and Janet F.F. Peng, Disposition polynomials and plane trees, European J. Combin. 36 (2014) 122-129; arXiv:1208.2139.   [citations 1].

  26. William Y.C. Chen, Donna Q.J. Dou, and Arthur L.B. Yang, Brändén's conjectures on the Boros-Moll polynomials, Internat. Math. Res. Notices 2013(20) (2013) 4819-4828; arXiv:1205.0305.   [citations 7].

  27. William Y.C. Chen and Ernest X.W. Xia, 2-log-concavity of the Boros-Moll polynomials, Proc. Edinburgh Math. Soc. (2) 56(3) (2013) 701-722; arXiv:1010.0416. [citations 6].

  28. William Y.C. Chen, Oliver X.Q. Gao, and Peter L. Guo, q-hook length formulas for signed labeled forests, Adv. in Appl. Math. 51(5) (2013) 563-582; arXiv:1004.1811.   [citations 3].

  29. William Y.C. Chen, Doris D.M. Sang, and Diane Y.H. Shi, The Rogers-Ramanujan-Gordon theorem for overpartitions, Proc. London Math. Soc. (3) 106(6) (2013) 1371-1393; arXiv:1108.5792.   [citations 7].

  30. William Y.C. Chen, Lewis H. Liu, and Carol J. Wang, Linked partitions and permutation tableaux, Electron. J. Combin. 20(3) (2013), #P53. arXiv:1305.5357.   [citations 1].

  31. William Y.C. Chen, Kathy Q. Ji, Hai-Tao Jin, and Erin Y.Y. Shen, On the number of partitions with designated summands, J. Number Theory 133 (2013) 2929-2938; arXiv:1208.2210.   [citations 4].

  32. William Y.C. Chen and Ernest X.W. Xia, Proof of Moll's minimum conjecture, European J. Combin. 34 (2013) 787-791; arXiv:0904.0841.   [citations 6].

  33. William Y.C. Chen, Janet F.F. Peng, and Harold R.L. Yang, Decomposition of triply rooted trees, Electron. J. Combin. 20(2) (2013) #P10. arXiv:1212.6468.   [citations 5].

  34. William Y.C. Chen, Alvin Y.L. Dai, Theodore Dokos, Tim Dwyer, Bruce E. Sagan, On 021-avoiding ascent sequences, Electron. J. Combin. 20(1) (2013) #P76; arXiv:1206.2849.   [citations 7].

  35. William Y.C. Chen, George Z. Gong, and Jeremy J.F. Guo, The sorting index and permutation codes, Adv. in Appl. Math. 50 (2013) 367-389; arXiv:1206.0503.   [citations 6].

  36. William Y.C. Chen, Anne X. Y. Ren, and Arthur L. B. Yang, Proof of a positivity conjecture on Schur functions, J. Combin. Theory Ser. A 120 (2013) 644-648; arXiv:1209.0078.   [citations 0].

  37. William Y.C. Chen and Carol J. Wang, Noncrossing linked partitions and large (3, 2)-Motzkin paths, Discrete Math. 312 (2012) 1918-1922. arXiv:1009.0176.   [citations 3].

  38. William Y.C. Chen, Sabrina X.M. Pang, and Ellen X.Y. Qu, Partially 2-colored permutations and the Boros-Moll polynomials, Ramanujan J. 27 (2012) 297-304; arXiv:1008.4740.   [citations 3].

  39. William Y.C. Chen, Kathy Q. Ji, and Eric H. Liu, Partition identities for Ramanujan's third order mock theta functions, Quart. J. Math. 63(2) (2012) 353-365; arXiv:1006.3194.   [citations 1].

  40. William Y.C. Chen and Eric H. Liu, A Franklin type involution for squares, Adv. Appl. Math. 49 (2012) 271-284; arXiv:0911.5019.   [citations 5].

  41. William Y.C. Chen, Ae Ja Yee, and Albert J.W. Zhu, Euler's partition theorem with upper bounds on multiplicities, Electron. J. Combin. 19(3) (2012), #P41; arXiv:1111.1489.   [citations 0].

  42. William Y.C. Chen, Daniel K. Du, and Charles B. Mei, Combinatorial telescoping for an identity of Andrews on parity in partitions, European J. Combin. 33 (2012) 510-518. arXiv:1106.3013.   [citations 2].

  43. William Y.C. Chen, Neil J.Y. Fan, and Alina F.Y. Zhao, Partitions and partial matchings avoiding neighbor patterns, European J. Combin. 33 (2012) 491-504; arXiv:1009.4535.   [citations 5].

  44. William Y.C. Chen, Qing-Hu Hou, and Yan-Ping Mu, The extended Zeilberger algorithm with parameters, J. Symbolic Comput. 47(6) (2012) 643C654; arXiv:0908.1328.   [citations 7].

  45. William Y.C. Chen and Peter L. Guo, Oscillating rim hook tableaux and colored matchings, Adv.in Appl. Math. 48 (2012) 393-406; arXiv:1105.4306.   [citations 5].

  46. William Y.C. Chen and Bernard L.S. Lin, Arithmetic properties of overpartition pairs, Acta Arith. 151(3) (2012) 263-277; arXiv:1009.5016.   [citations 11].

  47. William Y.C. Chen, Neil J.Y. Fan, and Jeffrey Y.T. Jia, The generating function for the Dirichlet series Lm(s), Math. Comput. 81(278) (2012) 1005-1023; arXiv:1004.2168.   [citations 1].

  48. William Y.C. Chen, Neil J.Y. Fan, and Jeffrey Y.T. Jia, Labeled ballot paths and the Springer numbers, SIAM J. Discrete Math. 25 (2011) 1530-1546; arXiv:1009.2233.   [citations 4].

  49. William Y.C. Chen, Larry X.W. Wang, and Ernest X.W. Xia, The interlacing log-concavity of the Boros-Moll polynomials, Pacific J. Math. 254(1) (2011) 89-99; arXiv:1008.0310.   [citations 2].

  50. Sandy H.L. Chen, William Y.C. Chen, Amy M. Fu, and Wenston J.T. Zang, The Algorithm Z and Ramanujan's 1ψ1 summation, Ramanujan J. 25 (1) (2011) 37-47. arXiv:0911.1285.   [citations 2].

  51. William Y.C. Chen, Cindy C.Y. Gu, Kevin J. Ma and Larry X.W. Wang, Higher order log-concavity in Euler's difference table, Discrete Math. 311 (20) (2011) 2128-2134; arXiv:0911.2775.   [citations 1].

  52. William Y.C. Chen, Cindy C.Y. Gu and Kevin J. Ma, Minimal permutations and 2-regular skew tableaux, Adv. Appl. Math. 47 (4) (2011) 795-812; arXiv:1010.6261.   [citations 1].

  53. William Y.C. Chen, Qing-Hu Hou, and Hai-Tao Jin, The Abel-Zeilberger algorithm, Electron. J. Combin. 18(2) (2011) #P17. arXiv:1105.0178.   [citations 14].

  54. William Y.C. Chen, Oliver X.Q. Gao, and Peter L. Guo, On Han's hook length formulas for trees, Electron. J. Combin. 18 (2011) #P155. arXiv:1103.4068.   [citations 1].

  55. William Y.C. Chen, Andrew Y.Z. Wang, and Alina F.Y. Zhao, Identities derived from noncrossing partitions of type B, Electron. J. Combin. 18 (2011) #P129. arXiv:0908.2291.   [citations 3].

  56. William Y.C. Chen, Larry X.W. Wang and Arthur L.B. Yang, Recurrence relations for strongly q-log-convex polynomials, Canad. Math. Bull. 54 (2011) 217-229; arXiv:math.CO/0806.3641.   [citations 12].

  57. William Y.C. Chen and Lewis H. Liu, Permutation tableaux and the dashed permutation pattern 32C1, Electron. J. Combin. 18 (2011) #P111; arXiv:1007.5019.   [citations 8].

  58. William Y.C. Chen and Bernard L.S. Lin, Congruences for bipartitions with odd parts distinct, Ramanujan J. 25 (2011) 277-293; arXiv:1004.0547.   [citations 11].

  59. William Y.C. Chen and Ernest X.W. Xia, The ratio monotonicity of the q-derangement numbers, Discrete Math. 311(6) (2011) 393-397; arXiv:math.CO/0708.2572.   [citations 3].

  60. William Y.C. Chen, Teresa X.S. Li, and David G.L. Wang, A Bijection between Atomic Partitions and Unsplitable Partitions, Electron. J. Combin. 18(1) (2011) #P7; arXiv:1009.0661.   [citations 6].

  61. William Y.C. Chen and Ernest X.W. Xia, The 2-log-convexity of the Apéry Numbers, Proc. Amer. Math. Soc. 139(2) (2011) 391-400; arXiv:0912.0795.   [citations 9].

  62. William Y.C. Chen, Doris D.M. Sang, and Diane Y.H. Shi, Anti-lecture hall compositions and overpartitions, J. Combin. Theory Ser. A 118(4) (2011) 1451-1464; arXiv:1006.4081.   [citations 4].

  63. William Y.C. Chen, Qing-Hu Hou, and Lisa H. Sun, The method of combinatorial telescoping, J. Combin. Theory Ser. A 118 (2011) 899-907. arXiv:1001.0312.   [citations 3].

  64. William Y.C. Chen and David G.L. Wang, Singletons and adjacencies of set partitions of type B, Discrete Math. 311 (2011) 418-422. arXiv:0910.4212.   [citations 4].

  65. William Y.C. Chen, Neil J.Y. Fan, and Teresa X.S. Li, Han's bijection via permutation codes, European J. Combin. 32 (2011) 217-225; arXiv:1004.3202.   [citations 1]

  66. William Y.C. Chen, Donna Q.J. Dou, and Terence Y.J. Zhang, On three and four vicious walkers, J. Statist. Plann. Inference 141 (2011) 94-101; arXiv:0808.1435.   [citations 2].

  67. William Y.C. Chen and Larry X.W. Wang, On balanced colorings of the n-cube, J. Alg. Combin. 32 (2010) 379-387. arXiv:0910.0903.   [citations 0].

  68. William Y.C. Chen, Larry X.W. Wang, and Arthur L.B. Yang, Schur positivity and the q-log-convexity of the Narayana polynomials, J. Alg. Combin. 32 (2010) 303-338. arXiv:math.CO/0806.1561.   [citations 17].

  69. William Y.C. Chen, Arthur L.B. Yang, and Elaine L.F. Zhou, Ratio monotonicity of polynomials derived from nondecreasing sequences, Electron. J. Combin. 17 (2010) #N37; arXiv:1007.5017.   [citations 6].

  70. William Y.C. Chen, Svetlana Poznanovic, Catherine H. Yan, and Arthur L.B. Yang, Major index for 01-fillings of moon polyominoes, J. Combin. Theory Ser. A 117(8) (2010) 1058-1081.   [citations 8].

  71. William Y.C. Chen, Andrew Y.Z. Wang, Catherine H. Yan, and Alina F. Y. Zhao, Mixed statistics on 01-fillings of moon polyominoes, SIAM J. Discrete Math. 24 (4) (2010) 1272-1290; arXiv:0908.0073.   [citations 4].

  72. William Y.C. Chen, Henry Y. Gao, Kathy Q. Ji and Martin Y.X. Li, A unification of two refinements of Euler's partition theorem, Ramanujan J. 23 (1) (2010) 137-149; arXiv:0812.2826.   [citations 2].

  73. William Y.C. Chen and David G.L. Wang, The limiting distribution of the q-derangement numbers, European J. Combin. 31 (2010) 2006-2013; arXiv:math.CO/0806.2092.   [citations 2].

  74. William Y.C. Chen, Kathy Q. Ji, and Albert J.W. Zhu, On Stanley's partition function, Electron. J. Combin. 17 (2010) #N31. arXiv:1006.2450.   [citations 1].

  75. William Y.C. Chen, Sabrina X.M. Pang, and Ellen X.Y. Qu, On the combinatorics of the Boros-Moll polynomials, Ramanujan J. 21 (1) (2010) 41-51; arXiv:0810.0594.   [citations 3].

  76. William Y.C. Chen and David G.L. Wang, Minimally intersecting set partitions of type B, Electron. J. Combin. 17 (2010) #R22. arXiv:0910.0905.   [citations 3].

  77. William Y.C. Chen, Husam L. Saad, and Lisa H. Sun, An operator approach to the Al-Salam-Carlitz polynomials, J. Math. Phys. 51 (2010) #043502. arXiv:0910.1746.   [citations 10].

  78. William Y.C. Chen, Robert L. Tang, Larry X.W. Wang, and Arthur L.B. Yang, The q-log-convexity of the Narayana polynomials of type B, Adv. Appl. Math. 44 (2010) 85-110; arXiv:0810.2247.   [citations 14]

  79. William Y.C. Chen, Donna Q.J. Dou, Robert L. Tang, and Arthur L.B. Yang, The srank conjecture on Schur's Q-functions, Pacific J. Math. 244 (2) (2010) 211-234; arXiv:math.CO/0805.2782.   [citations 0].

  80. William Y.C. Chen, Hillary S.W. Han, and Christian M. Reidys, Random k-noncrossing RNA Structures, Proc. Natl. Acad. Sci. USA 106 (52) (2009) 22061-22066.   [citations 17].

  81. William Y.C. Chen, Henry Y. Gao, and Jia He, Labeled partitions with colored permutations, Discrete Math. 309 (21) (2009) 6235-6244; arXiv:0810.3388.   [citations 2]

  82. William Y.C. Chen, Jiuqiang Liu and Larry X.W. Wang, Families of sets with intersecting clusters, SIAM J. Discrete Math. 23 (3) (2009) 1249-1260; arXiv:math.CO/0605171.   [citations 8].

  83. William Y.C. Chen and Cindy C.Y. Gu, The reverse ultra log-concavity of the Boros-Moll polynomials, Proc. Amer. Math. Soc. 137 (2009) 3991-3998; arXiv:0809.0127.   [citations 13].

  84. William Y.C. Chen and Ernest X.W. Xia, The ratio monotonicity of the Boros-Moll polynomials, Math. Comput. 78 (2009) 2269-2282; arXiv:math.CO/0806.4333.   [citations 14].

  85. William Y.C. Chen, Robert L. Tang, and Alina F.Y. Zhao, Derangement polynomials and excedances of type B, Electron. J. Combin. 16 (2) (2009) #R15; arXiv:0809.0741.   [citations 15].

  86. William Y.C. Chen and Lisa H. Sun, Extended Zeilberger's algorithm for identities on Bernoulli and Euler polynomials, J. Number Theory 129 (2009) 2111-2132; arXiv:0810.0438.   [citations 20].

  87. William Y.C. Chen, David G.L. Wang, and Iris F. Zhang, Partitions of Zn into arithmetic progressions, European J. Combin. 30 (2009) 764-773; arXiv:math.CO/0805.1622.   [citations 3].

  88. William Y.C. Chen, Sabrina X.M. Pang, Ellen X.Y. Qu, and Richard P. Stanley, Pairs of noncrossing free Dyck paths and noncrossing partitions, Discrete Math. 309 (9) (2009) 2834-2838; arXiv:math.CO/0804.2930.   [citations 8].

  89. William Y.C. Chen, Oliver X.Q. Gao, and Peter L. Guo, Hook length formulas for trees by Han's expansion, Electron. J. Combin. 16 (2009) #R62; arXiv:0903.3342.   [citations 9].

  90. William Y.C. Chen and Ernest X.W. Xia, The q-WZ method for infinite series, J. Symbolic Comput. 44 (2009) 960-971; arXiv:math.CO/0806.2491.   [citations 3].

  91. William Y.C. Chen, Amy M. Fu, and Iris F. Zhang, Faulhaber's theorem on power sums, Discrete Math. 309 (2009) 2974-2981; arXiv: math.CO/0606090.   [citations 4].

  92. William Y.C. Chen and Sabrina X.M. Pang, On the combinatorics of the Pfaff identity, Discrete Math. 309 (2009) 2190-2196.   [citations 12].

  93. William Y.C. Chen, Jing Qin, Christian M. Reidys, and Doron Zeilberger, Efficient counting and asymptotics of k-noncrossing tangled diagrams, Electron. J. Combin. 16 (2009) #R37.   [citations 12].

  94. William Y.C. Chen and Jiuqiang Liu, Set systems with L-intersections modulo a prime number, J. Combin. Theory Ser. A 116 (1) (2009) 120-131.   [citations 4].

  95. William Y.C. Chen, Andreas W.M. Dress, and Winking Q. Yu, Community structures of networks, Math. Comput. Sci. 1 (2008) 441-457;   [citations 11].

  96. William Y.C. Chen, Carol J. Wang, and Larry X.W. Wang, The limiting distribution of the coefficients of the q-Catalan numbers, Proc. Amer. Math. Soc. 136 (11) (2008) 3759-3767;arXiv: math.CO/0708.2574.   [citations 6].

  97. William Y.C. Chen, Qing-Hu Hou, and Yan-Ping Mu, Non-terminating basic hypergeometric series and the q-Zeilberger algorithm, Proc. Edinburgh Math. Soc. 51 (2008) 609-633; arXiv: math.CO/0509281.   [citations 7].

  98. William Y.C. Chen, Sherry H.F. Yan, and Laura L.M. Yang, Identities from weighted Motzkin paths, Adv. Appl. Math. 41 (2008) 329C334;   [citations 17].

  99. William Y.C. Chen, Peter Paule, and Husam L. Saad, Converging to Gosper's algorithm, Adv. Appl. Math. 41 (2008) 351C364; arXiv:0711.3386v1.   [citations 9].

  100. William Y.C. Chen and Deheng Xu, Labeled partitions and the q-derangement numbers, SIAM J. Discrete Math. 22 (3) (2008) 1099-1104; arXiv: math.CO/0606481.   [citations 5].

  101. William Y.C. Chen, Eva Y.P. Deng, and Laura L.M. Yang, Riordan paths and derangements, Discrete Math. 308 (11) (2008) 2222-2227; arXiv: math.CO/0602298.   [citations 4].

  102. William Y.C. Chen, Jing Qin, and Christian M. Reidys, Crossings and nestings in tangled diagrams, Electron. J. Combin. 15 (2008) #R86; arXiv:math.CO/0710.4053.   [citations 30].

  103. William Y.C. Chen, Ira M. Gessel, Catherine H. Yan and Arthur L.B. Yang, A major index for matchings and set partitions, J. Combin. Theory Ser. A 115 (6) (2008) 1069-1076; arXiv: math.CO/0701096.   [citations 6].

  104. William Y.C. Chen and Laura L.M. Yang, On Postnikov's hook length formula for binary trees, European J. Combin. 29 (2008) 1563-1565; arXiv: math.CO/0504260.   [citations 19].

  105. William Y.C. Chen, Susan Y.J. Wu, and Catherine H. Yan, Linked partitions and linked cycles, European J. Combin. 29 (2008) 1408-1426; arXiv: math.CO/0607719.   [citations 15].

  106. Vincent Y.B. Chen, William Y.C. Chen, and Nancy S.S. Gu, The Abel lemma and the q-Gosper algorithm, Math. Comp. 77 (2008) 1057-1074; arXiv: math.CO/0607359.   [citations 2].

  107. William Y.C. Chen and Arthur L.B. Yang, Stanley's zrank conjecture on skew partitions, Trans. Amer. Math. Soc. 360 (2008) 3121–3131; arXiv: math.CO/0509181.   [citations 1].

  108. William Y.C. Chen, Andreas W.M. Dress, and Winking Q. Yu, Checking the reliability of a linear-programming based approach towards detecting community structures in networks, Systems Biol. 5 (2007) 286–291.   [citations 5].

  109. William Y.C. Chen and Jessica C.Y. Zhang, The skew and relative derangements of Type B, Electron. J. Combin. 24 (2007) #N24; arXiv: math.CO/0708.3623.   [citations 4].

  110. William Y.C. Chen, Nelson Y. Li, and Louis W. Shapiro, The butterfly decomposition of plane trees, Discrete Appl. Math. 155 (17) (2007) 2187–2201; arXiv: math.CO/0511045.   [citations 9].

  111. William Y.C. Chen, Husam L. Saad, and Lisa H. Sun, The bivariate Rogers-Szegö polynomials, J. Phys. A: Math. Theor. 40 (2007) 6071–6084; arXiv: math.CO/0612430.   [citations 16].

  112. William Y.C. Chen and Kathy Q. Ji, Weighted forms of Euler's theorem, J. Combin. Theory Ser. A 114 (2007) 360–372; arXiv: math.CO/0510121.   [citations 10].

  113. William Y.C. Chen, Nelson Y. Li, Louis W. Shapiro, and Sherry H.F. Yan, Matrix identities on weighted partial Motzkin paths, European J. Combin. 28 (4) (2007) 1196–1207; arXiv: math.CO/0509255.   [citations 10].

  114. William Y.C. Chen, Eva Y.P. Deng, Rosena R.X. Du, Richard P. Stanley, and Catherine H. Yan, Crossings and nestings of matchings and partitions, Trans. Amer. Math. Soc. 359 (4) (2007) 1555–1575; arXiv: math.CO/0501230.   [citations 160].

  115. William Y.C. Chen, Kathy Q. Ji, and Herbert S. Wilf, BG-Ranks and 2-cores, Electron. J. Combin. 13 (2006) #N18; arXiv: math.CO/0605474.   [citations 3].

  116. William Y.C. Chen, Qing-Hu Hou, and Yan-Ping Mu, A telescoping method for double summations, J. Comput. Appl. Math. 196 (2) (2006) 553–566; arXiv: math.CO/0504525.   [citations 10].

  117. William Y.C. Chen, Toufik Mansour, and Sherry H.F. Yan, Matchings avoiding partial patterns, Electron. J. Combin. 13 (2006) #R112; arXiv: math.CO/0504342.   [citations 9]

  118. William Y.C. Chen and Qing-Hu Hou, Factors of the Gaussian coefficients, Discrete Math. 306 (13) (2006) 1446–1449.   [citations 5].

  119. William Y.C. Chen, Wenchang Chu, and Nancy S.S. Gu, Finite form of the quintuple product identity, J. Combin. Theory Ser. A 113 (2006) 185–187; arXiv: math.CO/0504277.   [citations 13].

  120. William Y.C. Chen, Laura L.M. Yang, and L.W. Shapiro, Parity reversing involutions on plane trees and 2-Motzkin paths, European J. Combin. 27 (2) (2006) 283–289; arXiv: math.CO/0503300.   [citations 9].

  121. William Y.C. Chen and Amy M. Fu, Semi-finite forms of bilateral basic hypergeometric series, Proc. Amer. Math. Soc. 134 (2006) 1719–1725.   [citations 17].

  122. William Y.C. Chen, Emeric Deutsch, and Sergi Elizalde, Old and young leaves on plane trees, European J. Combinatorics, 27 (3) (2006) 414–427.   [citations 6].

  123. William Y.C. Chen and Sherry H.F. Yan, Noncrossing trees and noncrossing graphs, Electron. J. Combin. 13 (2006) #N12; arXiv: math.CO/0509715.   [citations 9].

  124. William Y.C. Chen and James J.Y. Zhao, The Gaussian coefficients and overpartitions, Discrete Math. 305 (1-3) (2005) 350–353.   [citations 3].

  125. William Y.C. Chen and Arthur L.B. Yang, Stable equivalence over symmetric functions, Electron. J. Combin. 11 (2) (2004-2006) #R23; arXiv: math.CO/0508008.   [citations 0].

  126. William Y.C. Chen, Qing-Hu Hou, and Yan-Ping Mu, Applicability of the q-analogue of Zeilberger's algorithm, J. Symbolic Comput. 39 (2) (2005) 155–170; arXiv: math.CO/0410222.   [citations 17].

  127. William Y.C. Chen, Guo-Guang Yan, and Arthur L.B. Yang, Transformations of border strips and Schur function determinants, J. Algebraic Combin. 21 (4) (2005) 379–394; arXiv: math.CO/0406250.   [citations 8].

  128. William Y.C. Chen, Eva Y.P. Deng, and Rosena R.X. Du, Reduction of m-regular noncrossing partitions, European J. Combin. 26 (2) (2005) 237–243; arXiv: math.CO/0406180.   [citations 31].

  129. William Y.C. Chen and Husam L. Saad, On the Gosper-Petkovsek representation of rational functions, J. Symbolic Comput. 40 (2) (2005) 955–963.   [citations 1].

  130. William Y.C. Chen, Xueliang Li, and Michelle J. Zheng, Matrix method for linear sequential dynamical systems on digraphs, Appl. Math. Comput. 160 (1) (2005) 197–212.   [citations 7].

  131. William Y.C. Chen, Christian Krattenthaler, and Arthur L.B. Yang, The flagged Cauchy determinant, Graphs Combin. 21 (2005) 51–62.   [citations 3].

  132. William Y.C. Chen and David C. Torney, Equivalence classes of matchings and lattice-square designs, Discrete Appl. Math. 145 (2005) 349–357.   [citations 1].

  133. William Y.C. Chen, Guo-Guang Yan, and Arthur L.B. Yang, The skew Schubert polynomials, European J. Combin. 25 (8) (2004) 1181–1196.   [citations 3].

  134. William Y.C. Chen, Xueliang Li, Chao Wang, and Xiaoyan Zhang, Linear time algorithms to the minimum all-ones problem for unicyclic and bicyclic graphs, Electron. Notes Discrete Math. 17 (2004) 93–98.   [citations 4].

  135. Chris L. Barrett, William Y.C. Chen, and Michelle J. Zheng, Discrete dynamical systems on graphs and Boolean functions, Math. Comput. Simulation 66 (6) (2004) 487–497.   [citations 17].

  136. William Y.C. Chen, Xueliang Li, Chao Wang, and Xiaoyan Zhang, The minimum all-ones problem for trees, SIAM J. Comput. 33 (2) (2004) 379–392.   [citations 15].

  137. William Y.C. Chen and Amy M. Fu, Cauchy augmentation for basic hypergeometric series, Bull. London Math. Soc. 36 (2) (2004) 169–175.   [citations 5].

  138. William Y.C. Chen, Amy M. Fu, and Baoyin Zhang, The homogeneous q-difference operator, Adv. Appl. Math. 31 (2003) 659–668.   [citations 19].

  139. William Y.C. Chen, Y.P. Deng, and Laura L.M. Yang, Motzkin paths and reduced decompositions for permutations with forbidden patterns, Electron. J. Combin. 9 (2) (2002-2003) #R15.   [citations 14].

  140. William Y.C. Chen, Qing-Hu Hou, and Alain Lascoux, An involution for the Gauss identity, J. Combin. Theory Ser. A 102 (2003) 309–320.   [citations 3].

  141. William Y.C. Chen, Bingqing Li, and J.D. Louck, The flagged double Schur function, J. Algebraic Combin. 15 (2002) 7–26.   [citations 16].

  142. William Y.C. Chen and J.W. Guo, Bijections behind the Ramanujan polynomials, Adv. Appl. Math. 27 (2001) 336–356; arXiv: math.CO/0107024.   [citations 9].

  143. William Y.C. Chen and J. Wang, Decomposition of necklaces, Ann. Combin. 5 (2001) 271–283.   [citations 1].

  144. William Y.C. Chen, H. Galbraith, and J.D. Louck, Angular momentum theory, umbral calculus, and combinatorics, Computer Math. Appl. 41 (2001) 1199–1214.   [citations 3].

  145. William Y.C. Chen, J.D. Louck, and J. Wang, Adjacency and parity relations of words in discrete dynamical systems, J. Combin. Theory Ser. A 91 (2000) 476–508.   [citations 6].

  146. William Y.C. Chen, A general bijective algorithm for increasing tress, Systems Science and Math. Sciences, special issue in honor of W.T. Wu, 12 (1999) 193–203.   [citations 11].

  147. William Y.C. Chen and J.D. Louck, Enumeration of cubic graphs by inclusion-exclusion, J. Combin. Theory Ser. A 86 (1999) 151–157.   [citations 1].

  148. William Y.C. Chen, The pessimistic search and the straightening involution for trees, European J. Combin. 19 (1998) 553–558.   [citations 2].

  149. William Y.C. Chen, J.D. Louck, and H. Galbraith, Combinatorics of 3n-j coefficients, Phys. Atomic Nuclei 61 (11) (1998) 1868–1873.   [citations 4].

  150. William Y.C. Chen and J.D. Louck, The combinatorics of a class of representation functions, Adv. Math. 140 (1998) 207–236.   [citations 23].

  151. William Y.C. Chen and Zhiguo Liu, Parameter augmentation for basic hypergeometric series I, Mathematical Essays in Honor of Gian-Carlo Rota, Eds., B.E. Sagan and R.P. Stanley, Birkhäuser, Boston, (1998), pp. 111–129.   [citations 56].

  152. William Y.C. Chen and Zhiguo Liu, Parameter augmentation for basic hypergeometric series II, J. Combin. Theory Ser. A 80 (2) (1997) 175–195.   [citations 55].

  153. William Y.C. Chen and J.D. Louck, Necklaces, MSS sequences and DNA sequences, Adv. Appl. Math. 18 (1997) 18–32.   [citations 19].

  154. William Y.C. Chen and J.D. Louck, The combinatorial power of the companion matrix, Linear Algebra Appl. 232 (1996) 261–278.   [citations 40].

  155. William Y.C. Chen, The skew, relative and classical derangements, Discrete Math. 160 (1996) 235–239.   [citations 5].

  156. William Y.C. Chen and J.D. Louck, Interpolation for symmetric functions, Adv. Math. 117 (1996) 147–156.   [citations 20].

  157. William Y.C. Chen and Joseph Oliveira, Implication algebras and the Metropolis-Rota axioms for cubic lattices, J. Algebra 171 (1995) 383–396.   [citations 13].

  158. William Y.C. Chen and J.P.S. Kung, The combinatorics of symmetric functions, Gian-Carlo Rota on Combinatorics, 458–467, Contemp. Mathematicians, Birkhäuser, Boston, 1995.   [citations 1].

  159. William Y.C. Chen, K.W. Lih, and Y.N. Yeh, Cyclic tableaux and symmetric functions, Studies in Appl. Math. 94 (1995) 327–339.   [citations 9].

  160. William Y.C. Chen, J.D. Louck, L.C. Biedenharn, and M.A. Lohe, The role of SU(2) 3n-j coefficients in SU(3), Symmetry and Structural Properties of Condensed Matter, World Sci. Publishing, River Edge, NJ, (1995), pp. 150–182.   [citations 2].

  161. William Y.C. Chen, V. Faber, and E. Knill, Restricted routing and wide diameter of the cycle prefix, DIMACS Series in Discrete Mathematics and Theoretical Computer Science, Vol. 21, Amer. Math. Soc. (1995) 31–46.   [citations 13].

  162. William Y.C. Chen, A bijection for enriched trees, European J. Combin. 15 (1994) 337–343.   [citations 2].

  163. William Y.C. Chen, The theory of compositionals, Discrete Math. 122 (1993) 59–87.   [citations 11].

  164. William Y.C. Chen, Compositional calculus, J. Combin. Theory Ser. A 64 (1993) 149–188.   [citations 13].

  165. William Y.C. Chen, Induced cycle structures of the hyperoctahedral group, SIAM J. Discrete Math. 6 (1993) 353–362.   [citations 14]

  166. William Y.C. Chen, A coding algorithm for Rényi trees, J. Combin. Theory Ser. A 63 (1993) 11–25.   [citations 9]

  167. Vance Faber, Jim Moore, and William Y.C. Chen, The cycle prefix digraphs for symmetric interconnection networks, Networks 23 (1993) 641–649.   [citations 57].

  168. William Y.C. Chen and J.D. Louck, The factorial Schur function, J. Math. Phys. 34 (9) (1993) 4144–4160.   [citations 33].

  169. William Y.C. Chen, Context-free grammars, differential operator and formal power series, Theoret. Comput. Sci. 117 (1993) 113–129.   [citations 30].

  170. William Y.C. Chen and R. Stanley, Derangements on the n-cube, Discrete Math. 115 (1993) 65–75.   [citations 17].

  171. William Y.C. Chen and Gian-Carlo Rota, q-Analogs of the principle of inclusion--exclusion and permutations of restricted position, Discrete Math. 104 (1992) 7–22.   [citations 24].

  172. William Y.C. Chen, Integral matrices with given row and column sums, J. Combin. Theory Ser. A 61 (1992) 153–172.   [citations 11].

  173. William Y.C. Chen, Maximum (g, f)-factors of a general graph, Discrete Math. 91 (1991) 1–7.   [citations 4].

  174. William Y.C. Chen, A general bijective algorithm for trees, Proc. Natl. Acad. Sci. USA. 87 (1990) 9635–9639.   [citations 39].

  175. William Y.C. Chen and A. Shastri, On joint realization of (0, 1)-matrices, Linear Algebra Appl. 112 (1989) 75–85.   [citations 8].

  176. William Y.C. Chen, A short proof of Kundu's k-factor theorem, Discrete Math. 71 (1988) 177–179.   [citations 17].

  177. William Y.C. Chen, A counterexample to a conjecture of Brualdi and Anstee, J. of Math. Research and Exposition 6 (1986) p.68.   [citations 5].