Publications

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  1. William Y.C. Chen, Donna Q.J. Dou, and Terence Y.J. Zhang, On three and four vicious walkers, J. Statist. Plann. Inference, to appear; arXiv:0808.1435.

  2. William Y.C. Chen and Ernest X. W. Xia, The 2-log-convexity of the Apéry Numbers, Proc. Amer. Math. Soc., to appear; arXiv:0912.0795.

  3. William Y.C. Chen and David G.L. Wang, The Limiting Distribution of the q-Derangement Numbers, European J. Combin., to appear; arXiv:math.CO/0806.2092.

  4. William Y.C. Chen and Eric H. Liu, A Franklin type involution for squares, Adv. Appl. Math., to appear; arXiv:0911.5019.

  5. 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., to appear, arXiv:0911.1285.

  6. William Y.C. Chen and Ernest X.W. Xia, A proof of Moll's minimum conjecture, European J. Combin., to appear; arXiv:0904.0841.

  7. William Y. C. Chen and Larry X.W. Wang, On balanced colorings of the n-cube, J. Alg. Combin., to appear. arXiv:0910.0903.

  8. 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, to appear.

  9. 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., to appear. arXiv:math.CO/0806.1561.

  10. 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., to appear; arXiv:0812.2826.

  11. William Y.C. Chen, Larry X.W. Wang and Arthur L.B. Yang, Recurrence relations for strongly q-log-convex polynomials, Canad. Math. Bull., to appear; arXiv:math.CO/0806.3641.   [citations 0]

  12. 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.

  13. 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.

  14. 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.

  15. 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.

  16. 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.

  17. 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.

  18. 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.

  19. 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.

  20. 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.

  21. 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.

  22. 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.

  23. 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.

  24. 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 0]

  25. 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 0]

  26. 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.

  27. 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.

  28. 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 0]

  29. William Y.C. Chen and Sabrina X.M. Pang, On the combinatorics of the Pfaff identity, Discrete Math. 309 (2009) 2190-2196.   [citations 1]

  30. 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.

  31. 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 0]

  32. William Y.C. Chen, Andreas W.M. Dress, and Winking Q. Yu, Community structures of networks, Math. Comput. Sci. 1 (2008) 441-457;   [citations 0]

  33. 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 0]

  34. William Y.C. Chen, Qing-Hu Hou, and Yan-Ping Mu, Nonterminating basic hypergeometric series and the q-Zeilberger algorithm, Proc. Edinburgh Math. Soc. 51 (2008) 609-633; arXiv: math.CO/0509281.   [citations 1]

  35. William Y.C. Chen, Sherry H.F. Yan, and Laura L.M. Yang, Identities from weighted Motzkin paths, Adv. Appl. Math. 41 (2008) 329¨C334;   [citations 6]

  36. William Y.C. Chen, Peter Paule, and Husam L. Saad, Converging to Gosper's algorithm, Adv. Appl. Math. 41 (2008) 351¨C364; arXiv:0711.3386v1.   [citations 0]

  37. 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 1]

  38. 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 1]

  39. William Y.C. Chen, Jing Qin, and Christian M. Reidys, Crossings and nestings of tangled diagrams, Electron. J. Combin. 15 (2008) #R86; arXiv:math.CO/0710.4053.   [citations 4]

  40. 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 0]

  41. 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 10]

  42. 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 2]

  43. 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 0]

  44. 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]

  45. 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 1]

  46. William Y.C. Chen and Jessica C.Y. Zhang, The skew and relative derangements of Type B, Electron. J. Combin. 14 (2007) #N24; arXiv: math.CO/0708.3623.   [citations 1]

  47. 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 1]

  48. 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 2]

  49. 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 3]

  50. 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 1]

  51. 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 49]

  52. 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 1]

  53. 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 1]

  54. 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 3]

  55. William Y.C. Chen and Qing-Hu Hou, Factors of the Gaussian coefficients, Discrete Math. 306 (13) (2006) 1446–1449.   [citations 0]

  56. 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 4]

  57. 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 5]

  58. 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 5]

  59. 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 3]

  60. 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 4]

  61. William Y.C. Chen and James J.Y. Zhao, The Gaussian coefficients and overpartitions, Discrete Math. 305 (1-3) (2005) 350–353.   [citations 0]

  62. 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]

  63. 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 4]

  64. 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 5]

  65. 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 12]

  66. 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 0]

  67. 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 0]

  68. William Y.C. Chen, Christian Krattenthaler, and Arthur L.B. Yang, The flagged Cauchy determinant, Graphs Combin. 21 (2005) 51–62.   [citations 1]

  69. 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]

  70. 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]

  71. 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 2]

  72. 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 1]

  73. 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 4]

  74. William Y.C. Chen and Amy M. Fu, Cauchy augmentation for basic hypergeometric series, Bull. London Math. Soc. 36 (2) (2004) 169–175.   [citations 0]

  75. William Y.C. Chen, Amy M. Fu, and Baoyin Zhang, The homogeneous q-difference operator, Adv. Appl. Math. 31 (2003) 659–668.   [citations 4]

  76. William Y.C. Chen, Yu 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 5]

  77. 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 1]

  78. William Y.C. Chen, Bingqing Li, and J.D. Louck, The flagged double Schur function, J. Algebraic Combin. 15 (2002) 7–26.   [citations 8]

  79. 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 4]

  80. William Y.C. Chen and J. Wang, Decomposition of necklaces, Ann. Combin. 5 (2001) 271–283.   [citations 0]

  81. 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 4]

  82. 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 1]

  83. 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 8]

  84. 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 0]

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

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

  87. William Y.C. Chen and J.D. Louck, The combinatorics of a class of representation functions, Adv. Math. 140 (1998) 207–236.   [citations 15]

  88. 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 16]

  89. 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 16]

  90. William Y.C. Chen and J.D. Louck, Necklaces, MSS sequences and DNA sequences, Adv. Appl. Math. 18 (1997) 18–32.   [citations 8]

  91. William Y.C. Chen and J.D. Louck, The combinatorial power of the companion matrix, Linear Algebra Appl. 232 (1996) 261–278.   [citations 13]

  92. William Y.C. Chen, The skew, relative and classical derangements, Discrete Math. 160 (1996) 235–239.   [citations 2]

  93. William Y.C. Chen and J.D. Louck, Interpolation for symmetric functions, Adv. Math. 117 (1996) 147–156.   [citations 10]

  94. William Y.C. Chen and Joseph Oliveira, Implication algebras and the Metropolis-Rota axioms for cubic lattices, J. Algebra 171 (1995) 383–396.   [citations 6]

  95. 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]

  96. 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 6]

  97. 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 0]

  98. 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 4]

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

  100. William Y.C. Chen, The theory of compositionals, Discrete Math. 122 (1993) 59–87.   [citations 9]

  101. William Y.C. Chen, The compositional calculus, J. Combin. Theory Ser. A 64 (1993) 149–188.   [citations 9]

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

  103. William Y.C. Chen, A coding algorithm for Rényi trees, J. Combin. Theory Ser. A 63 (1993) 11–25.   [citations 3]

  104. Vance Faber, Jim Moore, and William Y.C. Chen, The cycle prefix digraphs for symmetric interconnection networks, Networks 23 (1993) 641–649.   [citations 33]

  105. William Y.C. Chen and J.D. Louck, The factorial Schur function, J. Math. Phys. 34 (9) (1993) 4144–4160.   [citations 21]

  106. William Y.C. Chen, Context-free grammars, differential operator and formal power series, Theoret. Comput. Sci. 117 (1993) 113–129.   [citations 11]

  107. William Y.C. Chen and R. Stanley, Derangements on the n-cube, Discrete Math. 115 (1993) 65–75.   [citations 5]

  108. 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 18]

  109. William Y.C. Chen, Integral matrices with given row and column sums, J. Combin. Theory Ser. A 61 (1992) 153–172.   [citations 5]

  110. William Y.C. Chen, Maximum (g, f)-factors of a general graph, Discrete Math. 91 (1991) 1–7.   [citations 3]

  111. William Y.C. Chen, A general bijective algorithm for trees, Proc. Natl. Acad. Sci. USA. 87 (1990) 9635–9639.   [citations 21]

  112. William Y.C. Chen and A. Shastri, On joint realization of (0, 1)-matrices, Linear Algebra Appl. 112 (1989) 75–85.   [citations 4]

  113. William Y.C. Chen, A short proof of Kundu's k-factor theorem, Discrete Math. 71 (1988) 177–179.   [citations 1]

  114. William Y.C. Chen, A counterexample to a conjecture of Brualdi and Anstee, J. of Math. Research and Exposition 6 (1986) p.68.   [citations 2]