- 1.
An analog of Schensted's algorithm for shifted Young tableaux,
*J. Combin. Theory Ser. A*,**27**(1979), 10-18, pdf. - 1a.
Also included in ``Young Tableaux in Combinatorics,
Invariant Theory, and Algebra, an Anthology of Recent Work,''
Joseph P.S. Kung ed., Academic Press, New York (1982),
29-37.
- 2.
A cyclic derivative in non-commutative algebra (with Gian-Carlo Rota and
Paul Stein),
*J. Algebra***64**(1980), 54-75, pdf. - 3.
On selecting a random shifted Young tableau,
*J. Algorithms***1**(1980), 213-234, pdf. - 4.
Congruences derived from group action (with Gian-Carlo Rota),
*European J. Combin.*,**1**(1980), 67-76, pdf. - 5.
From sets to functions: 3 elementary examples (with Saj-Nicole Joni and
Gian-Carlo Rota),
*Discrete Math.*,**37**(1981), 193-202, pdf. - 6.
Enumeration of partitions with hooklengths,
*European J. Combin.*,**3**(1982), 85-94, pdf. - 7.
Bijective proofs of certain vector partition identitites,
*Pacific J. Math.***102**(1982), 171-178, pdf. - 8.
A note on Abel polynomials and rooted labeled forests,
*Discrete Math.*,**44**(1983), 293-298, pdf. - 9.
Computer-aided analysis of monotonic sequence games (with
Frank Harary and David West),
*Atti Accad. Perolitana Pericolanti Cl. Sci. Fis. Mat.**Natur.***61**(1983), 67-78, pdf. - 10.
Signed posets (with Frank Harary),
*Bull. Calcutta Math. Soc.*(1983), 3-10, pdf. - 11.
Congruences via Abelian groups,
*J. Number Theory***20**(1985), 210-237, pdf. - 12.
Bijective proofs of two broken circuit theorems (with
Andreas Blass),
*J.**Graph Theory***10**(1986), 15-21 pdf. - 13.
Shellability of exponential structures,
*Order*,**3**(1986), 47-54, pdf. - 14.
Shifted tableaux, Schur
*Q*-functions, and a conjecture of R. P. Stanley,*J. Combin. Theory Ser. A*,**45**(1987), 62-103, pdf. - 15.
A note on independent sets in trees,
*SIAM J. Discrete Math.***1**(1988), 105-108, pdf. - 16.
Inductive and injective proofs of log concavity results,
*Discrete Math.*,**68**(1988), 281-292, pdf. - 17.
Probabilistic algorithms for trees
(with Yeong-Nan Yeh),
*Fibonacci Quart.***27**(1989), 201-208, pdf. - 17a.
Also included as a
*Rapport de Recherche*, Université du Québec, Montréal (1987). - 18.
The ubiquitous Young tableau,
in ``Invariant Theory and Tableaux,'' Dennis Stanton ed., IMA Volumes
in Math. and its Applications, Vol. 19, Springer-Verlag, New York
(1990), 262-298,
ps or pdf.
- 19.
Robinson-Schensted algorithms for skew tableaux
(with Richard P. Stanley ),
*J. Combin. Theory Ser. A*,**55**(1990), 161-193, pdf. - 20.
The twisted
*N*-cube with application to multiprocessing (with Abdol-Hossein Esfahanian and Lionel M. Ni),*IEEE Trans. Comput.***40**(1991), 88-93, pdf. - 20a.
Also appeared as: On enhancing hypercube multiprocessors,
``1988 International Conference on Parallel Processing,'' 86-89.
- 21.
A maj statistic for set partitions,
*European J. Combin.*,**12**(1991), 69-79, pdf. - 22.
Eigenvectors and eigenvalues of some special graphs IV.
Multi-level circulants (with Shyi-Long Lee, Yeung-Long Luo and
Y.-N. Yeh),
*Int'l. J. Quantum Chem.***41**(1992), 105-116, pdf. - 23.
Log concave sequences of symmetric functions and analogs of the
Jacobi-Trudi determinants,
*Trans. Amer. Math. Soc.***329**(1992), 795-811, pdf. - 24.
Inductive proofs of
*q*-log concavity,*Discrete Math.*,**99**(1992), 298-306, pdf. - 25.
Congruence properties of
*q*-analogs,*Adv. in Math.*,**95**(1992), 127-143, pdf. - 26.
The
*Combinatorica*software package,*College Math. J.***23**(1992), 335-339, ps or pdf. - 27.
Lattice paths, reflections, & dimension-changing bijections
(with Richard K. Guy and
Christian Krattenthaler),
*Ars Combin.*,**34**(1992), 3-15, pdf. - 28.
Basic derivations for subarrangements of Coxeter
arrangements (with
Tadeusz Józefiak),
*J. Algebraic Combin.***2**(1993), 291-320, pdf. - 29.
Combinatorial proofs of hook generating function for skew plane
partitions,
*Theoretical Computer Science***117**(1993) 273-287, pdf. - 29a.
Also appeared in: ``Series Formelles et Combinatoire
Algebrique (Actes de Colloque, Bordeaux, 1991),'' 369-384.
- 30.
Maximizing Möbius functions on subsets of Boolean algebras
(with Yeong-Nan Yeh and
Günter Ziegler),
*Discrete Math.*,**126**(1994), 293-311, pdf. - 31.
Partition lattice
*q*-analogs associated with*q*-Stirling numbers (with Kathy Dempsey and Curtis Bennett ),*J. Algebraic Combin.*,**3**(1994), 261-283, ps or pdf. - 32.
A generalization of Rota's NBC theorem,
*Adv. in Math.*,**111**(1995), 195-207, ps or pdf. - 33.
Enumeration of trees by inversions
(with Ira M. Gessel
and
Yeong-Nan Yeh),
*J. Graph Theory*,**19**(1995), 435-459, ps or pdf. - 34.
A relative of the Thue-Morse sequence
(with Jean-Paul Allouche,
André Arnold,
Jean Berstel,
Srećko Brlek,
William Jockusch, and Simon Plouffe),
*Discrete Math.*,**139**(1995), 455-461, ps or pdf. - 35.
A generalization of semimodular supersolvable lattices
(with Curtis Bennett ),
*J. Combin. Theory Ser. A*,**72**(1995), 209-231, ps or pdf. - 36.
La correspondance de Robinson-Schensted pour les tableaux
oscillants gauches (with
Serge Dulucq),
*Discrete Math.*,**139**(1995), 129-142, pdf. - 37.
The Tutte polynomial of a graph, depth-first search, and
simplicial complex partitions
(with Ira M. Gessel),
*Electronic Journal of Combinatorics*(Foata Festschrift Volume),**3**(1996), R9, 36 pages, ps or pdf. - 38.
Subspace arrangements of type
*B*_{n}and*D*_{n}(with Anders Björner),*J. Algebraic Combin.*,**5**(1996), 291-314, ps or pdf. - 39.
The Wiener polynomial of a graph
(with Yeong-Nan Yeh
and Ping Zhang),
*Internat. J. Quantum Chem.*,**60**(1996), 959-969, ps or pdf. - 40.
Arithmetic properties of generalized Euler numbers
(with Ping Zhang),
*Southeast Asian Bull. Math.*,**21**(1997), 73-78, ps or pdf. - 41.
Möbius functions of lattices
(with Andreas Blass),
*Adv. in Math.*,**127**(1997), 94-123, ps or pdf. - 42.
Characteristic and Ehrhart polynomials
(with Andreas Blass),
*J. Algebraic Combin.*,**7**(1998), 115-126, ps or pdf. - 43.
Unimodality and the reflection principle,
*Ars Combin.*,**48**(1998), 65-72, ps or pdf. - 44.
Why the characteristic polynomial factors,
*Bull. Amer. Math. Soc.*,**36**(1999), 113-134, ps or pdf. - 45.
A Littlewood-Richardson Rule for
factorial Schur functions
(with Alexander Molev),
*Trans. Amer. Math. Soc.*,**351,**(1999) 4429-4443, ps or pdf. - 46.
Young tableaux, tableaux identities, and tableaux algorithms, in
``CRC Handbook of Discrete and Combinatorial Mathematics,'' Kenneth
Rosen ed., CRC Press, Boca Raton, 2000, 129-132,
ps or pdf.
- 47.
Sinks in acyclic orientations of graphs
(with David Gebhard),
*J. Combin. Theory, Ser. B*,**80**(2000) 130-146, ps or pdf. - 48.
Left-modular elements of lattices
(with Shu-Chung Liu),
*J. Combin. Theory Ser. A*(special issue dedicated to the memory of Gian-Carlo Rota),**91**(2000), 369-385, ps or pdf. - 49.
Schur functions in algebraic combinatorics, in ``Encyclopaedia of
Mathematics, Supplement II'' M. Hazewinkel ed., Kluwer Academic Publishers,
Dordrecht, 2000, 409-411,
ps or pdf.
- 50.
The multiplicities of a dual-thin
*Q*-polynomial association scheme (with John S. Caughman, IV),*Electronic Journal of Combinatorics*,**8**(2001), N4, 5 pages, ps or pdf. - 51.
A chromatic symmetric function in noncommuting variables
(with David Gebhard),
*J. Alg. Combin.***13**(2001), 227-255, ps or pdf. - 52.
Pattern frequency sequences and internal zeros
(with Miklós Bóna and
Vincent Vatter),
*Adv. in Math.*(special issue in memory if Rodica Simion),**29**(2002), 395-420, ps or pdf. - 53.
Two injective proofs of a conjecture of Simion,
(with Miklós Bóna),
*J. Combin. Theory Ser. A*,**102**(2003), 212-216, ps or pdf. - 54.
Bounding quantities related to the packing density of the pattern
1 m+1 m ... 2
(with Martin Hildebrand
and Vincent Vatter),
*Adv. in Applied Math.***33**(2004), 633-653, ps or pdf. - 55.
Topological properties of activity orders
for matroid bases
(with Rieuwet Blok),
*J. Combin. Theory Ser. B***94**(2005), 101-116, ps or pdf. - 56.
On divisibility of Narayana numbers by primes
(with Miklós Bóna),
*J. Integer Seq.***8**(2005), Article 05.2.4, 5 pages, ps or pdf. - 57.
GCD matrices, posets, and nonintersecting paths
(with Ercan Altinisik
and Naim Tuglu),
*Linear Multilinear Algebra***53**(2005), 75-84, ps or pdf. - 58.
Symmetric functions in noncommuting variables
(with Mercedes H. Rosas),
*Trans. Amer. Math. Soc.***358**(2006), 183-214, ps or pdf. - 59.
A new notion of transitivity for groups
(with William J. Martin),
*J. London Math. Soc.***73**(2006), 1-13, ps or pdf. - 60.
Congruences for Catalan and Motzkin numbers and related sequences
(with Emeric Deutsch),
*J. Number Theory***117**(2006), 191-215, ps or pdf. - 61.
An algorithmic sign-reversing involution for special
rim-hook tableaux
(with Jaejin Lee),
*J. Algorithms*,**59**(2006), 149-161, ps or pdf. - 62.
Rationality of the Möbius function of a composition poset
(with Anders Björner ),
*Theoret. Comput. Sci.*,**359**(2006), 282-298, pdf. - 63.
Maximal independent sets in graphs
with at most r cycles
(with Goh Chee Ying ,
Koh Khee Meng ,
and Vincent Vatter
),
*J. Graph Theory*,**53**(2006), 270-282, ps or pdf. - 64.
Maximal and maximum independent sets in graphs
with at most r cycles
(with Vincent Vatter
),
*J. Graph Theory*,**53**(2006), 283-314, ps or pdf. - 65.
The Möbius function of a composition poset,
(with Vincent Vatter
),
*J. Algebraic Combin.*,**24**(2006), 117-136, ps or pdf. - 66.
Counting permutations by congruence class of major index
(with Hélène Barcelo
and Sheila Sundaram
),
*Adv. in Appl. Math.*,**39**(2007), 269-281, ps , or pdf. - 67. What power of two divides a weighted Catalan number?
(with
Alex Postnikov
),
*J. Combin. Theory Ser. A*,**114**(2007), 970-977, ps , or pdf. - 68. Proper partitions of a polygon and k-Catalan numbers,
*Ars Combin.*,**88**(2008), 109-124, ps, or pdf. - 69. A human proof for a generalization of Shalosh B. Ekhad's 10
^{n}Lattice Paths Theorem (with N. Loehr and G. Warrington)*Ars Combin.*,**89**(2008), 421-429, ps, or pdf. - 70. Set partition statistics and q-Fibonacci numbers
(with
Adam Goyt),
*European J. Combin.*,**30**(2009), 230-245, ps, or pdf. - 71. Probabilistic proofs of hook length formulas involving trees,
*Sém. Lothar. Combin.*(special issue dedicated to the memory of Pierre Leroux),**61A**(2009), Art. B61Aa, 10 pp. (electronic), ps, or pdf. - 72. Compositions inside a rectangle and unimodality,
*J. Algebraic Combin.*,**29**(2009), 405-411, ps, or pdf. - 73. Monotonic sequence games
(with
Michael Albert,
Robert Aldred,
Mike Atkinson,
Chris Handley,
Derek Holton,
Dennis McCaughan
),
"Games of No Chance III",
(2009), 309-327,
ps, or pdf.
- 74. Monomial bases for broken circuit complexes
(with
Jason Brown),
*European J. Combin.*,**30**(2009), 1786-1800, pdf. - 75. Rationality, irrationality, and Wilf equivalence in generalized
factor order
(with
Sergey Kitaev,
Jeffrey Liese, and
Jeffrey Remmel),
*Electronic Journal of Combinatorics*, (special issue for Anders Björner's 60th birthday),**16(2)**(2009), R22, 26 pages, pdf. - 76. Infinite log-concavity: developments and conjectures
(with
Peter McNamara),
*Adv. in Appl. Math.*,**44**(2010), 1-15, pdf. - 77. Pattern avoidance in set partitions,
*Ars Combin.*,**94**(2010), 79-96, pdf. - 78. Combinatorial interpretations of binomial coefficient analogues related
to Lucas sequences
(with
Carla D. Savage),
*Integers*,**10**(2010), A52, 697-703, pdf. - 79. Eulerian quasisymmetric functions and cyclic sieving
(with
John Shareshian, and
Michelle Wachs),
*Adv. in Appl. Math.*(special issue for Dennis Stanton's 60th birthday),**46**(2011), 536-562, pdf. - 80. The cyclic sieving phenomenon: a survey,
in ``Surveys in Combinatorics 2011,"
Robin Chapman ed.,
*London Mathematical Society Lecture Note Series*, Vol. 392, Cambridge University Press, Cambridge, (2011), 183-234, pdf. - 81. Partitions, rooks, and symmetric functions in noncommuting variables
(with
Mahir Can),
*Electronic Journal of Combinatorics*(special issue for Doron Zeilberger's 60th birthday),**18(2)**(2011), P3, 7 pages, pdf. - 82. Mahonian pairs
(with
Carla Savage),
*J. Combin. Theory Ser. A*,**119**(2012), 526-545, pdf. - 83. Counting (3+1)-avoiding permutations
(with
M. D. Atkinson and
Vincent Vatter),
*European J. Combin.*,**33**(2012), 49-61, pdf. - 84. The Möbius function of generalized subword order
(with
Peter McNamara),
*Adv. in Math.*,**229**(2012), 2741-2766, pdf. - 85. Permutation Patterns and Statistics
(with
Theodore Dokos,
Tim Dwyer,
Bryan P. Johnson,
and
Kimberly Selsor
),
*Discrete Math.*,**312**(2012), 2760-2775, pdf. - 86. Discrete Morse theory and the consecutive pattern poset
(with
Robert Willenbring),
*J. Algebraic Combin.*,**36**(2012), 501-514, pdf. - 87. Combinatorics of Tesler matrices in the theory of parking functions and diagonal harmonics
(with
Drew Armstrong,
Adriano Garsia,
James Haglund,
and
Brendon Rhoades
),
*J. of Combin.*,**3**(2012), 451-494, pdf. - 88. On 021-avoiding ascent sequences
(with
William Y. C. Chen,
Alvin Y. L. Dai,
Theodore Dokos, and
Tim Dwyer),
*Electronic J. Combin.*,**20(1)**(2013), P76, 6 pages, pdf - 89. Permutations with given peak set
(with
Sara Billey and
Krzysztof Burdzy),
*J. Integer Seq.*,**16**(2013), Article 13.6.1, 18 pages, pdf - 90. Inversion polynomials for 321-avoiding permutations
(with
Szu-En Cheng,
Sergi Elizalde,
and
Anisse Kasraoui),
*Discrete Math.*,**313**(2013), 2552-2565, pdf. - 90a. Inversion polynomials for 321-avoiding permutations: addendum
(with
Szu-En Cheng,
Sergi Elizalde,
and
Anisse Kasraoui),
arXiv:1305.3845,
pdf.
- 91. m-level rook placements
(with
Kenneth Barrese,
Nicholas Loehr,
and
Jeffrey Remmel
),
*J. Combin. Theory Ser. A*,**124**(2014), 130-165, pdf. - 92. Descent sets for symplectic groups
(with
Martin Rubey,
and
Bruce Westbury),
*J. Algebraic Combin.*,**40**(2014), 187-208, pdf. - 93. The fractal nature of the Fibonomial triangle
(with
Xi Chen),
*Integers*,**14**(2014), A3, 12 pp., pdf. - 94. Generalized Fibonacci polynomials and Fibonomial coefficients
(with
Tewodros Amdeberhan,
Xi Chen
and
Victor H. Moll),
*Ann. Combin.*,**18**(2014), 541-562, pdf. - 95. On constructing regular distance-preserving graphs
(with
Abdol-Hossein Esfahanian,
Ronald Nussbaum,
and
Dennis Ross),
*Congr. Numer.*,**219**(2014), 129-138, pdf. - 96. On meteors, earthworms, and WIMPs
(with
Sara Billey,
Krzysztof Burdzy,
and
Soumik Pal
),
*Ann. Appl. Probab.*,**25**(2015), 1729-1779, pdf. - 97. Factoring the characteristic polynomial of a lattice
(with
Joshua Hallam),
*J. Combin. Theory Ser. A*,**136**(2015), 39-63, pdf. - 98. Set partition patterns and statistics
(with
Samantha Dahlberg,
Robert Dorward,
Jonathan Gerhard,
Thomas Grubb,
Carlin Purcell,
and
Lindsey Reppuhn),
*Discrete Math.*,**339**(2016), 1-16, pdf. - 99. Bijections on m-level rook placements
(with
Kenneth Barrese,
Nicholas Loehr,
and
Jeffrey Remmel
),
*European J. Combin.*,**57**(2016), 13-35, pdf. - 100. Antipodes and involutions
(with
Carolina Benedetti),
*J. Combin. Theory Ser. A*,**148**(2017), 275-315, pdf. - 101. Longest increasing subsequences and log concavity
(with Miklós Bóna
and Marie-Louise Lackner
),
*Ann. Combin.*,**21**(2017), 535-549, pdf. - 102. The protean chromatic polynomial,
*Not. Amer. Math. Soc.*,**64**(2017), 828, pdf. - 103. Restricted growth function patterns and statistics
(with Lindsey R. Campbell ,
Samantha Dahlberg ,
Robert Dorward ,
Jonathan Gerhard ,
Thomas Grubb ,
and Carlin Purcell ),
*Adv. in Appl. Math.*,**100**(2018), 1-42, pdf. - 104. Pattern-avoiding polytopes
(with
Robert Davis),
*European J. Combin.*,**74**(2018), 48-84, pdf. - 105. Distance preserving graphs and graph products
(with
Mohammad Khalifeh,
and
Emad Zahedi),
*Ars Combin.*,**140**(2018), 321-328, pdf. - 106. Dihedral transportation and (0,1)-matrix classes
(with
Richard A. Brualdi),
*Linear Multilinear Algebra*,**66**(2018), 2557-2568, pdf. - 107. On the 1/3-2/3 Conjecture
(with
Emily Olson),
*Order*,**35**(2018), 581-596, pdf. - 108. Increasing spanning forests in graphs and simplicial complexes
(with
Joshua Hallam and
Jeremy L. Martin),
*European J. Combin.*,**76**(2019), 178-198, pdf. - 109. Descent polnomials
(with
Alexander Diaz-Lopez,
Pamela Harris,
Erik Insko, and
Mohamed Omar),
*Discrete Math.*,**342**(2019), 1674-1686, pdf. - 110. A polyhedral proof of a wreath product identity
(with
Robert Davis),
*J. Combin.*, (special issue dedicated to the memory of Jeffrey Remmel),**10 no. 4**(2019), 711-723, pdf. - 111. Bijective proofs of shuffle compatibility results
(with
Duff Baker-Jarvis),
*Adv. in Appl. Math.*,**113**(2020), 20 pp, pdf. - 112. Pattern avoidance and quasisymmetric functions
(with
Zachary Hamaker,
and
Brendan Powlowski),
*Algebraic Combin.*,**3 no. 2**(2020), 365-388, pdf. - 113. Revisiting pattern avoidance and quasisymmetric functions
(with
Jonathan Bloom),
*Ann. Combin.*,**24(2)**(2020), 337-361, pdf. - 114. Combinatorial interpretations of Lucas analogues of binomial coefficients and Catalan numbers
(with
Curtis Bennett,
Juan Carrillo,
and
John Machacek),
*Ann. Combin.*,**24**(2020), 503-530, pdf. - 115. Lucas atoms
(with
Jordan Tirrell),
*Adv. in Math.*,**374**(2020) 107387, 25 pp. (electronic), pdf. - 116.
**backbone**: an**R**package for backbone extraction of weighted graphs (with Rachel Domagalski and Zachary Neal),*PLoS One*, (2021), 20 pp. (electronic), pdf. - 117. Analysis of spatial networks from bipartite projections using the
**R backbone**package (with Rachel Domagalski and Zachary Neal),*Geogr. Anal.*, (2021), 25 pp. (electronic), pdf. - 118. Bijective proofs of proper coloring theorems
(with
Vincent Vatter),
*Amer. Math. Monthly*,**128:6**(2021), 483-499, pdf. - 119. On a rank-unimodality conjecture of Morier-Genoud and Ovsienko
(with
Thomas McConville
and
Clifford Smyth),
*Discrete Math.*,**344**(2021) 112483, 13 pp. (electronic), pdf. - 120. Cyclic shuffle compatibility
(with
Rachel Domagalski,
Jinting Liang,
Quinn Minnich,
Jamie Schmidt,
and
Alexander Sietsema),
*Sém. Lothar. Combin.*,**85**(2021) Article B85d, 11 pp. (electronic) pdf. - 121. Comparing alternatives
to the fixed degree sequence
model for extracting the backbone
of bipartite projections(with
Rachel Domagalski
and
Zachary Neal),
*Sci. Rep.*,**11**(2021) Article No. 23929 pdf. - 122. Cyclic pattern containment and avoidance
(with
Rachel Domagalski,
Sergi Elizalde,
Jinting Liang,
Quinn Minnich,
Jamie Schmidt,
and
Alexander Sietsema),
*Adv. in Appl. Math.*,**135**(2022) 102320, 28 pp. (electronic) pdf. - 123. Pinnacle set properties
(with
Rachel Domagalski,
Jinting Liang,
Quinn Minnich,
Jamie Schmidt,
and
Alexander Sietsema),
*Discrete Math.*,**345**(2022) Paper No. 112882, 16 pp. (electronic) pdf. - 124. The amazing chromatic polynomial
*Math. Intelligencer*,**44**(2022) No. 3, 203-211 pdf . - 125. Rowmotion on fences
(with
Sergi Elizalde,
Matthew Plante,
and
Tom Roby
),
*Algebraic Combin.*, accepted, pdf. - 126. Partial rank symmetry of distributive lattices for fences
(with
Sergi Elizalde),
*Annals of Combin.*, accepted, pdf. - 127. q-Stirling numbers in type B
(with
Joshua Swanson),
*Duke Math. J.*, submitted, pdf. - 128. Rowmotion on rooted trees
(with
Pranjal Dangwal,
Jamie Kimble,
Jinting Liang,
Jianzhi Lou, and
Zach Stewart
),
*Sém. Lothar. Combin.*, submitted, pdf.

If you have trouble downloading any of the papers which are available from this page (most in ps and pdf format) and wish a hard copy, then please email me at sagan@math.msu.edu