Volume 28, Issue 3 (2021)

Computation of Al-Salam Carlitz and Askey-Wilson Moments using Motzkin Paths

Gaspard Ohlmann

P3.1
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The Chromatic Number of Two Families of Generalized Kneser Graphs Related to Finite Generalized Quadrangles and Finite Projective 3-Spaces

Klaus Metsch

P3.2
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A Discrete Morse Perspective on Knot Projections and a Generalised Clock Theorem

Daniele Celoria, Naya Yerolemou

P3.3
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Forbidden Subgraphs of Power Graphs

Pallabi Manna, Peter J. Cameron, Ranjit Mehatari

P3.4
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On Automorphisms of Direct Products of Cayley Graphs on Abelian Groups

Dave Witte Morris

P3.5
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A Greedoid and a Matroid Inspired by Bhargava's $p$-Orderings

Darij Grinberg, Fedor Petrov

P3.6
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Half-Graphs, Other Non-stable Degree Sequences, and the Switch Markov Chain

Péter L. Erdős, Ervin Győri, Tamás Róbert Mezei, István Miklós, Dániel Soltész

P3.7
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A Generalization of the Bollobás Set Pairs Inequality

Jason O'Neill, Jacques Verstraete

P3.8
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Linear Compactness and Combinatorial Bialgebras

Eric Marberg

P3.9
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Connector-Breaker Games on Random Boards

Dennis Clemens, Laurin Kirsch, Yannick Mogge

P3.10
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Representing Graphs as the Intersection of Cographs and Threshold Graphs

Daphna Chacko, Mathew C. Francis

P3.11
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Minimal Automaton for Multiplying and Translating the Thue-Morse Set

Émilie Charlier, Célia Cisternino, Adeline Massuir

P3.12
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Partitions and the Maximal Excludant

Shane Chern

P3.13
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Crossings and Nestings Over Some Motzkin Objects and $q$-Motzkin Numbers

Paul M. Rakoyomamonjy, Sandrataniaina R. Andriantsoa

P3.14
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Transition Matrices Between Young's Natural and Seminormal Representations

Sam Armon, Tom Halverson

P3.15
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A Note on Restricted Online Ramsey Numbers of Matchings

Vojtěch Dvořák

P3.16
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Duality Pairs and Homomorphisms to Oriented and Unoriented Cycles

Santiago Guzmán-Pro, César Hernández-Cruz

P3.17
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Permutations Avoiding Certain Partially-Ordered Patterns

Kai Ting Keshia Yap, David Wehlau, Imed Zaguia

P3.18
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Variations on Twins in Permutations

Andrzej Dudek, Jarosław Grytczuk, Andrzej Ruciński

P3.19
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A Generalization of Partition Identities for First Differences of Partitions of $n$ Into at Most $m$ Parts

Acadia Larsen

P3.20
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Enumeration of Planar Constellations with an Alternating Boundary

Jérémie Bouttier, Ariane Carrance

P3.21
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Laplacian Fractional Revival on Graphs

Ada Chan, Bobae Johnson, Mengzhen Liu, Malena Schmidt, Zhanghan Yin, Hanmeng Zhan

P3.22
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On the Independent Set Sequence of a Tree

Abdul Basit, David Galvin

P3.23
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Rainbow Pancyclicity in Graph Systems

Yangyang Cheng, Guanghui Wang, Yi Zhao

P3.24
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On Asymmetric Colourings of Claw-Free Graphs

Wilfried Imrich, Rafał Kalinowski, Monika Pilśniak, Mariusz Woźniak

P3.25
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Perron and Frobenius Meet Carathéodory

Márton Naszódi, Alexandr Polyanskii

P3.26
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An Upper Bound for the Size of $s$-Distance Sets in Real Algebraic Sets

Gábor Hegedüs, Lajos Rónyai

P3.27
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Nearly Gorenstein Rings Arising from Finite Graphs

Takayuki Hibi, Dumitru I. Stamate

P3.28
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Packing of Mixed Hyperarborescences with Flexible Roots via Matroid Intersection

Florian Hörsch, Zoltán Szigeti

P3.29
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Up- and Down-Operators on Young's Lattice

Ricky Ini Liu, Christian Smith

P3.30
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An Order on Circular Permutations

Antoine Abram, Nathan Chapelier-Laget, Christophe Reutenauer

P3.31
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On the $P_3$-Hull Number of Kneser Graphs

Luciano N. Grippo, Adrián Pastine, Pablo Torres, Mario Valencia-Pabon, Juan C. Vera

P3.32
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The Geometric Kernel of Integral Circulant Graphs

J. W. Sander

P3.33
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The Unit Acquisition Number of Binomial Random Graphs

Konstantinos Georgiou, Somnath Kundu, Paweł Prałat

P3.34
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A Note on Repeated Degrees of Line Graphs

Shimon Kogan

P3.35
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Spectra of Random Regular Hypergraphs

Ioana Dumitriu, Yizhe Zhu

P3.36
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On the Joint Distribution of Descents and Signs of Permutations

Jason Fulman, Gene B. Kim, Sangchul Lee, T. Kyle Petersen

P3.37
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Stability of Stretched Root Systems, Root Posets and Shards

Will Dana

P3.38
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Bounds on Antipodal Spherical Designs with Few Angles

Zhiqiang Xu, Zili Xu, Wei-Hsuan Yu

P3.39
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Counting Parabolic Double Cosets in Symmetric Groups

Thomas Browning

P3.40
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Permutation Reconstruction From a Few Large Patterns

Maria João Gouveia, Erkko Lehtonen

P3.41
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Turán Density of $2$-Edge-Colored Bipartite Graphs with Application on $\{2, 3\}$-Hypergraphs

Shuliang Bai, Linyuan Lu

P3.42
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Eckhoff's Problem on Convex Sets in the Plane

Adam S. Jobson, André E. Kézdy, Jenő Lehel

P3.43
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On Finite Subnormal Cayley Graphs

Shu Jiao Song

P3.44
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The Linkedness of Cubical Polytopes: The Cube

Hoa T. Bui, Guillermo Pineda-Villavicencio, Julien Ugon

P3.45
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Spectral Extremal Results for Hypergraphs

Yuan Hou, An Chang, Joshua Cooper

P3.46
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The Index and Spectrum of Lie Poset Algebras of Types B, C, and D

Vincent E. Coll, Jr., Nicholas W. Mayers, Nicholas Russoniello

P3.47
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Transversals, Near Transversals, and Diagonals in Iterated Groups and Quasigroups

Anna A. Taranenko

P3.48
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Explicit Pieri Inclusions

Markus Hunziker, John A. Miller, Mark Sepanski

P3.49
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Sharp Minimum Degree Conditions for the Existence of Disjoint Theta Graphs

Emily Marshall, Michael Santana

P3.50
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Tight Bounds on the Clique Chromatic Number

Gwenaël Joret, Piotr Micek, Bruce Reed, Michiel Smid

P3.51
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On the Maximum Diameter of $k$-Colorable Graphs

Éva Czabarka, Inne Singgih, László A. Székely

P3.52
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A Consecutive Lehmer Code for Parabolic Quotients of the Symmetric Group

Wenjie Fang, Henri Mühle, Jean-Christophe Novelli

P3.53
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Trees, Forests, and Total Positivity: I. $q$-Trees and $q$-Forests Matrices

Tomack Gilmore

P3.54
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Partitioning Permutations into Monotone Subsequences

David Wärn

P3.55
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Mating of Discrete Trees and Walks in the Quarter-Plane

Philippe Biane

P3.56
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Planar Lattice Subsets with Minimal Vertex Boundary

Radhika Gupta, Ivan Levcovitz, Alexander Margolis, Emily Stark

P3.57
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Discrete Quantitative Nodal Theorem

László Lovász

P3.58
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Quickly Proving Diestel's Normal Spanning Tree Criterion

Max Pitz

P3.59
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Completing Partial Transversals of Cayley Tables of Abelian Groups

Jaromy Kuhl, Donald McGinn, Michael William Schroeder

P3.60
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