Publications of Richard P. Stanley

(July 2016)

1.
Algorithmic Complexity, NASA Report No.32-999 (September 1, 1966).
2.
Zero-square rings, Pacific J. Math. 30 (1969), 811-824.
3.
On the number of open sets of finite topologies, J. Combinatorial Theory 10 (1971), 74-79.
4.
The conjugate trace and trace of a plane partition, J. Combinatorial Theory 14 (1973), 53-65.
5.
Structure of incidence algebras and their automorphism groups, Bull. Amer. Math. Soc. 76 (1970), 1236-1239.
6.
Modular elements of geometric lattices, Algebra Universalis 1 (1971), 214-217.
7.
A chromatic-like polynomial for ordered sets, in Proc. Second Chapel Hill Conference on Combinatorial Mathematics and Its Applications (May, 1970), pp. 421-427.
8.
The following papers appeared in the Jet Propulsion Laboratory Space Programs Summary or Deep Space Network journals:
9.
Ordered structures and partitions (revision of 1971 Harvard University thesis), Memoirs of the Amer. Math. Soc., no. 119 (1972), iii + 104 pages.
10.
On the foundations of combinatorial theory (VI): The idea of generating function (with G.-C. Rota and P. Doubilet), in Sixth Berkeley Symposium on Mathematical Statistics and Probability, Vol. II: Probability Theory, University of California, 1972, pp. 267-318.
11.
Supersolvable lattices, Algebra Universalis 2 (1972), 197-217.
12.
Theory and application of plane partitions, Parts 1 and 2, Studies in Applied Math. 50 (1971), 167-188, 259-279.
13.
An extremal problem for finite topologies and distributive lattices, J. Combinatorial Theory 14 (1973), 209-214.
14.
The Fibonacci lattice, Fibonacci Quarterly 13 (1975), 215-232.
15.
A Brylawski decomposition for finite ordered sets, Discrete Math. 4 (1973), 77-82.
16.
Review of Claude Berge, Principles of Combinatorics, in Bull. Amer. Math. Soc. 77 (1971), 685-689.
17.
A combinatorial packing problem (with five other authors), SIAM-AMS Proc. 4 (1971), 97-108.
18.
Acyclic orientations of graphs, Discrete Math. 5 (1973), 171-178.
19.
Linear homogeneous diophantine equations and magic labelings of graphs, Duke Math. J. 40 (1973), 607-632.
20.
Enumeration of posets generated by disjoint unions and ordinal sums, Proc. Amer. Math. Soc. 45 (1974), 295-299.
21.
Finite lattices and Jordan-Hölder sets, Algebra Universalis 4 (1974), 361-371.
22.
Combinatorial reciprocity theorems, Advances in Math. 14 (1974), 194-253.
23.
Combinatorial reciprocity theorems, in Combinatorics (Part 2) (M. Hall, Jr., and J. H. Van Lint, eds.), Mathematical Centre Tracts 56, Mathematisch Centrum, Amsterdam, 1974, pp. 107-118.
24.
Generating functions, in Studies in Combinatorics (G.-C. Rota, ed.), Mathematical Association of America, 1978, pp 100-141.
25.
Cohen-Macaulay rings and constructible polytopes, Bull. Amer. Math. Soc. 81 (1975), 133-135.
26.
Branchings and partitions (with L. Carlitz), Proc. Amer. Math. Soc. 53 (1975), 246-249.
27.
The Upper Bound Conjecture and Cohen-Macaulay rings, Studies in Applied Math. 54 (1975), 135-142.
28.
Binomial posets, Möbius inversion, and permutation enumeration, J. Combinatorial Theory (A) 20 (1976), 336-356.
29.
Stirling polynomials (with I. Gessel), J. Combinatorial Theory (A) 24 (1978), 24-33.
30.
Hilbert functions of graded algebras, Advances in Math. 28 (1978), 57-83.
31.
Magic labelings of graphs, symmetric magic squares, systems of parameters, and Cohen-Macaulay rings, Duke Math. J. 43 (1976), 511-531.
32.
Relative invariants of finite groups generated by pseudo-reflections, J. Algebra 49 (1977), 134-148.
33.
Some combinatorial aspects of the Schubert calculus, in Combinatoire et Réprésentation du Groupe Symétrique (Strasbourg, 1976), Lecture Notes in Math., No. 579, Springer-Verlag, Berlin, 1977, pp. 217-251.
34.
Cohen-Macaulay complexes, in Higher Combinatorics (M. Aigner, ed.), Reidel, Dordrecht/Boston, 1977, pp. 51-62.
34a.
Eulerian partitions of a unit hypercube, in Higher Combinatorics (M. Aigner, ed.), Reidel, Dordrecht/Boston, 1977, p. 49.
35.
Enumeration of power sums modulo a prime (with A. Odlyzko), J. Number Theory 10 (1978), 263-272.
36.
Balanced Cohen-Macaulay complexes, Trans. Amer. Math. Soc. 249 (1979), 139-157.
37.
Exponential structures, Studies in Applied Math. 59 (1978), 73-82.
38.
Invariants of finite groups and their applications to combinatorics, Bull. Amer. Math. Soc. (new series) 1 (1979), 475-511.
39.
Combinatorics and invariant theory, in Relations between Combinatorics and Other Parts of Mathematics (D. K. Ray-Chaudhuri, ed.), Proc. Symposium in Pure Math. 34 (1979), American Mathematical Society, Providence, Rhode Island, pp. 345-355. djvu file
40.
Decompositions of rational convex polytopes, Annals of Discrete Math. 6 (1980), 333-342.
41.
Unimodal sequences arising from Lie algebras, in Young Day Proceedings (T. V. Narayana, R. M. Mathsen, and J. G. Williams, eds.), Dekker, New York/Basel, 1980, pp. 127-136.
42.
Weyl groups, the hard Lefschetz theorem, and the Sperner property, SIAM J. Algebraic and Discrete Methods 1 (1980), 168-184.
43.
An application of algebraic geometry to extremal set theory, in Ring Theory and Algebra III (B. R. McDonald, ed.), Dekker, New York/Basel, 1980, pp. 415-422.
44.
The character generator of SU(n), J. Math. Physics 21 (1980), 2321-2326
45.
Differentiably finite power series, European J. Combinatorics 1 (1980), 175-188.
46.
The number of faces of a simplicial convex polytope, Advances in Math. 35 (1980), 236-238.
47.
Factorization of permutations into n-cycles, Discrete Math. 37 (1981), 255-262.
48.
Two combinatorial applications of the Aleksandrov-Fenchel inequalities, J. Combinatorial Theory (A) 31 (1981), 56-65.
49.
Review of I. G. Macdonald, Symmetric functions and Hall polynomials, in Bull. Amer. Math. Soc. (new series) 4 (1981), 254-265.
50.
Some aspects of groups acting on finite posets, J. Combinatorial Theory (A) 32 (1982), 132-161.
51.
Linear diophantine equations and local cohomology, Inventiones Math. 68 (1982), 175-193.
52.
An introduction to the theory of Cohen-Macaulay partially ordered sets (with A. Björner and A. Garsia), in Ordered Sets (I. Rival, ed.), Reidel, Dordrecht/Boston/London, 1982, pp. 583-615.
53.
 Combinatorics and Commutative Algebra, Progress in Mathematics, vol. 41, Birkhäuser, Boston/Basel/Stuttgart, 1983, viii + 88 pages; second edition, 1996, ix + 164 pages.
54.
The number of faces of simplicial polytopes and spheres, in Discrete Geometry and Convexity (J. E. Goodman, et al., eds.), Ann. New York Acad. Sci., vol. 440 (1985), pp. 212-223.
55.
An introduction to combinatorial commutative algebra, in Enumeration and Design (D. M. Jackson and S. A. Vanstone, eds.), Academic Press, Toronto/Orlando, 1984, pp. 3-18.
56.
On the number of reduced decompositions of elements of Coxeter groups, European J. Combinatorics 5 (1984), 359-372.
57.
GL(n,C) for combinatorialists, in Surveys in Combinatorics (E. K. Lloyd, ed.), London Math. Soc. Lecture Note Series, vol. 82, Cambridge University Press, Cambridge, 1983, pp. 187-199.
58.
Combinatorial applications of the hard Lefschetz theorem, in Proc. International Congress of Mathematicians (Warsaw, 1983), North-Holland, Amsterdam (1984), pp. 447-453.
59.
The stable behavior of some characters of SL(n, C), Linear and Multilinear Algebra 16 (1984), 29-34.
60.
Quotients of Peck posets, Order 1 (1984), 29-34.
61.
The q-Dyson conjecture, generalized exponents, and the internal product of Schur functions, in Combinatorics and Algebra (C. Greene, ed.), Contemporary Math., vol. 34, American Math. Society, Providence, RI (1984), 81-94. djvu file and update.
62.
Unimodality and Lie superalgebras, Studies in Applied Math. 72 (1985), 263-281.
63.
Reconstruction from vertex-switching, J. Combinatorial Theory (B) 38 (1985), 132-138.
64.
On dimer coverings of rectangles of fixed width, Discrete Applied Math. 12 (1985), 81-87.
65.
Symmetries of plane partitions, J. Combinatorial Theory (A) 43 (1986), 103-113. Erratum, 44 (1987), 310.
66.
Two poset polytopes, Discrete Comput. Geom. 1 (1986), 9-23.
67.
A baker's dozen of conjectures concerning plane partitions, in Combinatoire Énumérative (G. Labelle and P. Leroux, eds.), Lecture Notes in Math., no. 1234, Springer-Verlag, Berlin/Heidelberg/New York, 1986, pp. 285-293.
68.
The number of faces of balanced Cohen-Macaulay complexes and a generalized Macaulay theorem (with A. Björner and P. Frankl), Combinatorica 7 (1987), 23-34.
69.
Generalized h-vectors, intersection cohomology of toric varieties, and related results, in Commutative Algebra and Combinatorics (M. Nagata and H. Matsumura, eds.), Advanced Studies in Pure Mathematics 11, Kinokuniya, Tokyo, and North-Holland, Amsterdam/New York, 1987, pp. 187-213.
70.
 Enumerative Combinatorics, vol. 1, Wadsworth and Brooks/Cole, Pacific Grove, CA, 1986, xi + 306 pages; second printing, Cambridge University Press, Cambridge, 1996.
71.
A bound on the spectral radius of graphs with e edges, Linear Alg. Appl. 87 (1987), 267-269.
72.
Log-concave and unimodal sequences in algebra, combinatorics, and geometry, in Graph Theory and Its Applications: East and West, Ann. New York Acad. Sci., vol. 576, 1989, pp. 500-535.
73.
Some combinatorial properties of Jack symmetric functions, Advances in Math. 77 (1989), 76-115.
74.
On the number of faces of centrally-symmetric simplicial polytopes, Graphs and Combinatorics 3 (1987), 55-66.
75.
Plane partitions: past, present, and future, in Combinatorial Mathematics: Proceedings of the Third International Conference, Ann. New York Acad. Sci., vol. 555, pp. 397-401.
76.
Robinson-Schensted algorithms for skew tableaux (with B. Sagan), J. Combinatorial Theory (A) 55 (1990), 161-193.
77.
Differential posets, J. Amer. Math. Soc. 1 (1988), 919-961.
78.
Variations on differential posets, in Invariant Theory and Tableaux (D. Stanton, ed.), The IMA Volumes in Mathematics and Its Applications, vol. 19, Springer-Verlag, New York, 1990, pp. 145-165.
79.
Algebraic enumeration (with I. Gessel), in Handbook of Combinatorics, vol. 2 (R. L. Graham, M. Grötschel, and L. Lovász, eds.), Elsevier, Amsterdam, and MIT Press, Cambridge, 1995, pp. 1021-1061.
80.
Further combinatorial properties of two Fibonacci lattices, European J. Combinatorics 11 (1990), 181-188.
81.
A recurrence for linear extensions (with P. Edelman and T. Hibi), Order 6 (1989), 15-18.
82.
 f-vectors and h-vectors of simplicial posets, J. Pure Appl. Alg. 71 (1991), 319-331.
83.
A zonotope associated with graphical degree sequences, in Applied Geometry and Discrete Combinatorics, DIMACS Series in Discrete Mathematics, vol. 4, 1991, pp. 555-570.
84.
Some applications of algebra to combinatorics, Discrete Applied Math. 34 (1991), 241-277.
85.
On the Hilbert function of a graded Cohen-Macaulay domain, J. Pure Appl. Algebra 73 (1991), 307-314.
86.
Derangements on the n-cube (with W. Y. C. Chen), Discrete Math., 115 (1993), 64-75.
87.
On immanants of Jacobi-Trudi matrices and permutations with restricted position (with J. Stembridge), J. Combinatorial Theory (A) 62 (1993), 261-279.
88.
A monotonicity property of h-vectors and h* -vectors, European J. Combinatorics 14 (1993), 251-258.
89.
Subdivisions and local h-vectors, J. Amer. Math. Soc. 5 (1992), 805-851.
90.
A combinatorial decomposition of acyclic simplicial complexes, Discrete Math. 120 (1993), 175-182.
91.
Review of H. S. Wilf, Generatingfunctionology, American Mathematical Monthly 97 (1990), 864-866.
92.
Some combinatorial aspects of the spectra of normally distributed random matrices (with P. Hanlon and J. Stembridge), Contemporary Mathematics 158 (1992), 151-174.
93.
Some combinatorial properties of Schubert polynomials (with S. Billey and W. Jockusch), J. Algebraic Combinatorics 2 (1993), 345-374.
94.
Schubert polynomials and the nilCoxeter algebra (with S. Fomin), Advances in Math. 103 (1994), 196-207.
95.
Sets of vectors with many orthogonal pairs (with Z. Furedi), Graphs and Combinatorics 8 (1992), 391-394.
96.
Flag f-vectors and the cd-index, Math. Zeitschrift 216 (1994), 483-499.
97.
The general theory of convolutional codes (with R. J. McEliece), The Telecommunications and Data Acquisition Progress Report 42-113, January-March 1993 (E. C. Posner, ed.), National Aeronautics and Space Administration, Jet Propulsion Laboratory (May 15, 1993), pp. 89-98.
98.
Flag-symmetric and locally rank-symmetric partially ordered sets, Electronic J. Combinatorics 3, R6 (1996), 22 pp.; reprinted in The Foata Festschrift (J. Désarménien, A. Kerber, and V. Strehl, eds.), Imprimerie Louis-Jean, Gap, 1996, pp. 165-186.
99.
A survey of Eulerian posets, in Polytopes: Abstract, Convex, and Computational (T. Bisztriczky, P. McMullen, R. Schneider, A. I. Weiss, eds.), NATO ASI Series C, vol. 440, Kluwer Academic Publishers, Dordrecht/Boston/London, 1994, pp. 301-333.
100.
A symmetric function generalization of the chromatic polynomial of a graph, Advances in Math. 111 (1995), 166-194. Note. Theorem 3.4 is incorrect as stated.
101.
 Graph colorings and related symmetric functions: ideas and applications, Discrete Mathematics 193 (1998), 267-286 .
102.
 Lê numbers of arrangements and matroid identities (with D. Massey, R. E. Simion, D. L. Vertigan, D. J. A. Welsh, and
  G. M. Ziegler), J. Combinatorial Theory (B), 70 (1997), 118-133.
103.
 Polygon dissections and standard Young tableaux, J. Combnatorial Theory (A) 76 (1996), 175-177.
104.
A matrix for counting paths in acyclic digraphs, J. Combinatorial Theory (A), 74 (1996), 169-172.
105.
 Hyperplane arrangements, interval orders, and trees, Proc. Nat. Acad. Sci., 93 (1996), 2620-2625.
106.
 Hipparchus, Plutarch, Schröder, and Hough, American Math. Monthly 104 (1997), 344-350.
107.
 Hyperplane arrangements, parking functions, and tree inversions, in Mathematical Essays in Honor of Gian-Carlo Rota (B. Sagan and R. Stanley, eds.), Birkhäuser, Boston/Basel/Berlin, 1998, pp. 259-375.
108.
 A q-deformation of a trivial symmetric group action (with P. Hanlon), Trans. Amer. Math. Soc. 350 (1998), 4445-4459.
109.
 Deformations of Coxeter hyperplane arrangements (with A. Postnikov), J. Combinatorial Theory (A) 91 (2000), 544-597.
110.
  Parking functions and noncrossing partitions , Electronic J. Combinatorics 4, R20 (1997), 14 pp.
111.
 Flag-symmetry of the poset of shuffles and a local action of the symmetric group (with R. Simion), Discrete Math. 204 (1999), 369-396.
112.
 A combinatorial miscellany (with A. Björner), L'Enseignement Math., Monograph No. 42, 2010.
113.
 Enumerative Combinatorics, vol. 2, Cambridge University Press, New York/Cambridge, 1999, xii + 581 pages.
114.
 Spanning trees and a conjecture of Kontsevich, Annals of Combinatorics 2 (1998), 351-363.
115.
 Domino tilings with barriers (with J. Propp), J. Combinatorial Theory (A) 87 (1999), 347-356.
116.
 Positivity problems and conjectures in algebraic combinatorics , in Mathematics: Frontiers and Perspecives (V. Arnold, M. Atiyah, P. Lax, and B. Mazur, eds.), American Mathematical Society, Providence, RI, 2000, pp. 295-319.
117.
 A polytope related to empirical distributions, plane trees, parking functions, and the associahedron (with J. Pitman), Discrete Comput. Geom., 27 (2002), 603-634.
118.
 A generalized riffle shuffle and quasisymmetric functions, Ann. Combinatorics, 5 (2001), 479-491.
119.
 A note on the symmetric powers of the standard representation of Sn (with David Savitt), Electronic J. Combinatorics 7, R6 (2000), 8 pp.
120.
 Rodica Simion, January 18, 1955 - January 7, 2000, Pi Mu Epsilon Journal 11 (2000), 83-86.
121.
 Recent progress in algebraic combinatorics, Bull. Amer. Math. Soc. 40 (2003), 55--68.
122.
 On the enumeration of skew Young tableaux, Advances in Applied Math. 30 (2003), 283-294; math.CO/0106115.
123.
 The rank and minimal border strip decompositions of a skew partition, J. Combinatorial Theory (A) 100 (2002), 349--375.
124.
 Irreducible symmetric group characters of rectangular shape, Sém. Lotharingien de Combinatoire (electronic) 50 (2003), B50d.
125.
 Rodica Simion and shuffle posets, Advances in Applied Math. 28 (2002), 282-284.
126.
 Some remarks on sign-balanced and maj-balanced posets, Advances in Applied Math. 34 (2005), 880-902.
127.
 A map on the space of rational functions (with G. Boros, J. Little, V. Moll, and E. Mosteig), Rocky Mountain J. Math. 35 (2005), 1861-1880.
128.
 The mathematical knight (with N. Elkies), Math. Intelligencer 25, no. 1 (Winter 2003), 22-35.
129.
 Recent developments in algebraic combinatorics, Israel J. Math. 143 (2004), 317-340.
130.
 A super-class walk on upper-triangular matrices (withE. Arias-Castro and P. Diaconis), J. Algebra 278 (2004), 739-765.
131.
 Properties of some character tables related to the symmetric groups (with C. Bessenrodt and J. Olsson), J. Algebraic Combinatorics 21 (2005), 163-177.
132.
 Bottom Schur functions (with P. Clifford), Electronic J. Combinatorics 11(1), R67.
133.
 Coefficients and roots of Ehrhart polynomials (with M. Beck, J. De Loera, M. Develin, and J. Pfeifle), Contemp. Math., 374 (2005), 15-36; math.CO/0402148.
134.
 Tilings (with F. Ardila), Math. Intelligencer, 32 (2010), 32-43. German translation by Günter Ziegler entitled "Pflasterungen" in Math. Semesterber. 53 (2006), 17-43.
135.
 Crossings and nestings of matchings and partitions (with William Y. C. Chen (陈永川), Eva Y. P. Deng (邓玉平), Rosena R. X. Du (杜若霞), and Catherine H. Yan (颜华菲)), Trans. Amer. Math. Soc. 359 (2007), 1555-1575.
136.
 Ordering events in Minkowski space, Advances in Applied Math. 37 (2006), 514-525..
137.
 Chains in the Bruhat order (with Alexander Postnikov), J. Algebraic Combinatorics 29 (2009), 133-174.
138.
 Queue problems revisited, Suomen Tehtäväniekat 59, no. 4 (2005), 193-203.
139.
 The descent set and connectivity set of a permutation, J. Integer Sequences 8 (2005), article 05.3.8.
140.
 An analogue of Young's lattice for compositions (with Anders Björner), preprint.
141.
 Longest alternating subsequences of permutations, Michigan Math. J. 57 (2008), 675-687.
142.
 Increasing and decreasing subsequences and their variants, Proc. Internat. Cong. Math. (Madrid, 2006), vol. 1, American Mathematical Society, Providence, RI, 2007, pp. 545-579.
143.
 Alternating permutations and symmetric functions, J. Combinatorial Theory (A) 114 (2007), 436-460.
144.
 A conjectured combinatorial interpretation of the normalized irreducible character values of the symmetric group, preprint.
145.
 An introduction to hyperplane arrangements, in Geometric Combinatorics (E. Miller, V. Reiner, and B. Sturmfels, eds.), IAS/Park City Mathematics Series, vol.13, American Mathematical Society, Providence, RI, 2007, pp. 389-496.
146.
 Pairs of noncrossing free Dyck paths and noncrossing partitions (with W. Y. C. Chen (陈永川), S. X. M. Pang (庞兴梅), and Ellen X. Y. Qu (曲晓英)), Discrete Math. 309 (2009), 2834-2838.
147.
 Promotion and evacuation, Electronic J. Combinatorics, vol. 15(2) (2008-2009), R9.
148.
 Some combinatorial properties of hooks, contents, and parts of partitions, Ramanujan J. 23 (2010), 91-105.
149.
 Some Hecke algebra products and corresponding random walks (with Rosena R. X. Du (杜若霞)), J. Algebraic Combinatorics 31 (2010), 159-168.
150.
 Two enumerative results on cycles of permutations, Europ. J. Combinatorics 32 (2011), 937-943.
151.
 Polynomial coefficient enumeration (with Tewodros Amdeberhan), preprint.
152.
 A survey of alternating permutations, Contemporary Mathematics 531 (2010), 165-196.
153.
 Permutations, unpublished notes for 2010 AMS Colloquium Lectures.
154.
 Formulae for Askey-Wilson moments and enumeration of staircase tableaux (with S. Corteel, D. Stanton, and L. Williams), preprint.
155.
 An equivalence relation on the symmetric group and multiplicity-free flag h-vectors, J. Combinatorics 3 (2012), 277-298.
156.
 Orientations, lattice polytopes, and group arrangements II: Modular and integral flow Polynomials of graphs (with Beifang Chen), Graphs and Combinatorics 28 (2012), 751-779.
157.
 Two remarks on skew tableaux, Electronic J. Combinatorics, vol. 18(2) (2011-12), P16.
158.
 Separation probabilities for products of permutations (with Olivier Bernardi, Rosena R. X. Du, and Alejandro H. Morales), Combinatorics, Probability and Computing 23 (2014), 201-222.
159.
 On the rank function of a differential poset (with F. Zanello), Electronic J. Combinatorics, vol. 19(2) (2012), P13.
160.
 Counting conjugacy classes of elements of finite order in Lie groups (with Tamar Friedmann), Europ. J. Combinatorics, 36 (2014), 86-96.
161.
 The string landscape: on formulas for counting vacua (with Tamar Friedmann), Nuclear Physics B 869 (2013), 74-88.
162.
 Unimodality of partitions with distinct parts inside Ferrers shapes (with Fabrizio Zanello), Europ. J. Combinatorics 49 (2015), 194-202.
163.
 Some asymptotic results on q-binomial coefficients (with Fabrizio Zanello), Ann. Comb. 20 (2016), 623-634.
164.
 Valid orderings of real hyperplane arrangements, Discrete and Computational Geometry 53 (2015), 951-964.
165.
 Smith normal form of a multivariate matrix associated with partitions (with Christine Bessenrodt), Journal of Algebraic Combinatorics, to appear.
166.
 How the Upper Bound Conjecture was proved, Ann. Combinatorics 18 (2014), 533-539.
167.
 A formula for the specialization of skew Schur functions (with Xiaomei Chen), Annals of Combinatorics 20 (2016), 539-548.
168.
 The Catalan case of Armstrong's conjecture on simultaneous core partitions (with Fabrizio Zanello), SIAM J. Discrete Math., to appear.
169.
 A distributive lattice connected with arithmetic progressions of length three (with Fu Liu (刘拂)), Ramanujan J., to appear.
170.
 The Smith normal form of a matrix associated with Young's lattice (with Tommy Wuxing Cai (蔡 吴 兴)), Proc. Amer. Math. Soc. 143 (2015), 4695-4703.
171.
 Supersolvability and freeness for ψ-graphical arrangements (with Lili Mu (牟丽丽)), Discrete and Computational Geometry, 53 (2015), 965-970.
172.
 The Smith normal form distribution of a random integer matrix (with Yinghui Wang (王颖慧)), preprint.
173.
 Smith normal form in combinatorics, J. Combinatorial Theory (A), 144, 476-495.
174.
 A refined enumeration of hex trees and related polynomials (with Hana Kim), Europ. J. Combinatorics, to appear.

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