Volume 24, Issue 3 (2017)

On the Nonexistence of $k$-Reptile Simplices in $\mathbb R^3$ and $\mathbb R^4$

Jan Kynčl, Zuzana Patáková

P3.1
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$T$-Joins in Infinite Graphs

Attila Joó

P3.2
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Ideals and Quotients of Diagonally Quasi-Symmetric Functions

Shu Xiao Li

P3.3
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The Spectral Gap of Graphs Arising From Substring Reversals

Fan Chung, Josh Tobin

P3.4
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Multicolor Ramsey Numbers and Restricted Turán Numbers for the Loose 3-Uniform Path of Length Three

Andrzej Ruciński, Eliza Jackowska, Joanna Polcyn

P3.5
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Bounds for Distinguishing Invariants of Infinite Graphs

Wilfried Imrich, Rafał Kalinowski, Monika Pilśniak, Mohammad Hadi Shekarriz

P3.6
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Bijection Between Oriented Maps and Weighted Non-Oriented Maps

Agnieszka Czyżewska-Jankowska, Piotr Śniady

P3.7
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Coloring Graphs with no Even Hole of Length at Least 6: the Triangle-Free Case

Aurélie Lagoutte

P3.8
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Analysis of the Gift Exchange Problem

Moa Apagodu, David Applegate, N. J. A. Sloane, Doron Zeilberger

P3.9
A Hopf Algebraic Approach to Schur Function Identities

Karen Yeats

P3.10
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On the Number of Solutions in Random Hypergraph 2-Colouring

Felicia Rassmann

P3.11
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Kazhdan-Lusztig Polynomials of Thagomizer Matroids

Katie R. Gedeon

P3.12
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Sorting via Chip-Firing

Sam Hopkins, Thomas McConville, James Propp

P3.13
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Expanders with Superquadratic Growth

Antal Balog, Oliver Roche-Newton, Dmitry Zhelezov

P3.14
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Orthogonal Trades in Complete Sets of MOLS

Nicholas Cavenagh, Diane Donovan, Fatih Demirkale

P3.15
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On the Structure of the Power Graph and the Enhanced Power Graph of a Group

Ghodratollah Aalipour, Saieed Akbari, Peter J. Cameron, Reza Nikandish, Farzad Shaveisi

P3.16
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Coincidences between Characters to Hook Partitions and 2-Part Partitions on Families arising from 2-Regular Classes

Christine Bessenrodt

P3.17
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Unified Hanani–Tutte Theorem

Radoslav Fulek, Jan Kynčl, Dömötör Pálvölgyi

P3.18
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New Constructions of Self-Complementary Cayley Graphs

Lei Wang, Cai Heng Li, Yin Liu, Ci Xuan Wu

P3.19
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Uniform Mixing on Cayley Graphs

Chris Godsil, Hanmeng Zhan

P3.20
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Tail Positive Words and Generalized Coinvariant Algebras

Brendon Rhoades, Andrew Timothy Wilson

P3.21
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Uniform Mixing and Association Schemes

Chris Godsil, Natalie Mullin, Aidan Roy

P3.22
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Disjoint Difference Families from Galois Rings

Koji Momihara

P3.23
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Top Degree Part in $b$-Conjecture for Unicellular Bipartite Maps

Maciej Dołęga

P3.24
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Frankl's Conjecture for Subgroup Lattices

Alireza Abdollahi, Russ Woodroofe, Gjergji Zaimi

P3.25
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A Note on Intersecting Hypergraphs with Large Cover Number

P. E. Haxell, A. D. Scott

P3.26
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On some Euler-Mahonian Distributions

Angela Carnevale

P3.27
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Counting Lyndon Factors

Amy Glen, Jamie Simpson, W. F. Smyth

P3.28
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Beyond Degree Choosability

Daniel W. Cranston, Landon Rabern

P3.29
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Quasi-Eulerian Hypergraphs

Amin Bahmanian, Mateja Šajna

P3.30
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The Total Acquisition Number of Random Geometric Graphs

Ewa Infeld, Dieter Mitsche, Paweł Prałat

P3.31
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On $t$-Common List-Colorings

Hojin Choi, Young Soo Kwon

P3.32
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Gröbner Bases Techniques for an $S$-Packing $k$-Coloring of a Graph

Hamid Maarouf

P3.33
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Multidimensional Lower Density Versions of Plünnecke’s Inequality

Kamil Bulinski

P3.34
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Lower Bounds on Words Separation: Are There Short Identities in Transformation Semigroups?

Andrei A. Bulatov, Olga Karpova, Arseny M. Shur, Konstantin Startsev

P3.35
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Counting Gluings of Octahedra

Valentin Bonzom, Luca Lionni

P3.36
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New Upper Bound for Sums of Dilates

Albert Bush, Yi Zhao

P3.37
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A Note on Sparse Supersaturation and Extremal Results for Linear Homogeneous Systems

Christoph Spiegel

P3.38
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A Dual Ramsey Theorem for Permutations

Dragan Mašulović

P3.39
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Tomaszewski's Problem on Randomly Signed Sums: Breaking the 3/8 Barrier

Ravi B. Boppana, Ron Holzman

P3.40
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Fair Splitting of Colored Paths

Meysam Alishahi, Frédéric Meunier

P3.41
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Connected Even Factors in the Square of Essentially 2-Edge-connected Graph

Jan Ekstein, Baoyindureng Wu, Liming Xiong

P3.42
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Enumeration of Chord Diagrams without Loops and Parallel Chords

Evgeniy Krasko, Alexander Omelchenko

P3.43
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Nice Restrictions of Reflection Arrangements

Tilman Möller, Gerhard Röhrle

P3.44
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Vertex-Addition Strategy for Domination-Like Invariants

Michitaka Furuya, Naoki Matsumoto

P3.45
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On a Special Class of Hyper-Permutahedra

Geir Agnarsson

P3.46
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Do Triangle-Free Planar Graphs have Exponentially Many $3$-Colorings?

Zdeněk Dvořák, Jean-Sébastien Sereni

P3.47
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Combinatorial Reductions for the Stanley Depth of $I$ and $S/I$

Mitchel T. Keller, Stephen J. Young

P3.48
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A Note on the Rainbow Connection of Random Regular Graphs

Michael Molloy

P3.49
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Promotion of Increasing Tableaux: Frames and Homomesies

Oliver Pechenik

P3.50
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Crystal Analysis of type C Stanley Symmetric Functions

Graham Hawkes, Kirill Paramonov, Anne Schilling

P3.51
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Internally Fair Factorizations and Internally Fair Holey Factorizations with Prescribed Regularity

Aras Erzurumluoğlu, Chris A. Rodger

P3.52
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Note on the Union-Closed Sets Conjecture

Abigail Raz

P3.53
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Large Monochromatic Components in Edge Colored Graphs with a Minimum Degree Condition

András Gyárfás, Gábor Sárközy

P3.54
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Application of Smirnov Words to Waiting Time Distributions of Runs

Uta Freiberg, Clemens Heuberger, Helmut Prodinger

P3.55
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Stability for Vertex Cycle Covers

József Balogh, Frank Mousset, Jozef Skokan

P3.56
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Majority Choosability of Digraphs

Marcin Anholcer, Bartłomiej Bosek, Jarosław Grytczuk

P3.57
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Group Actions on Partitions

Byungchan Kim

P3.58
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Non-Flat Regular Polytopes and Restrictions on Chiral Polytopes

Gabe Cunningham

P3.59
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Perfect Fractional Matchings in $k$-Out Hypergraphs

Pat Devlin, Jeff Kahn

P3.60
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Rational Dyck Paths in the Non Relatively Prime Case

Eugene Gorsky, Mikhail Mazin, Monica Vazirani

P3.61
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Asymptotic Behavior of Odd-Even Partitions

Min-Joo Jang

P3.62
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Unimodal Permutations and Almost-Increasing Cycles

Kassie Archer, L.-K. Lauderdale

P3.63
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Relative Difference Sets Partitioned by Cosets

Peter J. Dukes, Alan C.H. Ling

P3.64
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A Conjecture of Norine and Thomas for Abelian Cayley Graphs

Fuliang Lu, Lianzhu Zhang

P3.65
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Pruned Double Hurwitz Numbers

Marvin Anas Hahn

P3.66
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