Volume 33, Issue 3 (2026)

The Asymptotic Behaviour of $sat(n,\mathcal{F})$

Asier Calbet, Andrea Freschi

P3.1
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Higher Dimensional Floorplans and Baxter $d$-Permutations

Nicolas Bonichon, Thomas Muller, Adrian Tanasa

P3.2
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Kohnert Posets and Polynomials of Northeast Diagrams

Aram Bingham, Beth Anne Castellano, Kimberly P. Hadaway, Reuven Hodges, Yichen Ma, Alex Moon, Kyle Salois

P3.3
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Extending Simple Monotone Drawings

Jan Kynčl, Jan Soukup

P3.4
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Bounded Littlewood Identities with Fixed Number of Odd Rows or Odd Columns

JiSun Huh, Jang Soo Kim, Christian Krattenthaler, Soichi Okada

P3.5
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Non-Isomorphic Cayley Graphs with Identical Random Walk Distribution

Masao Ishikawa, Fumihiko Nakano, Taizo Sadahiro

P3.6
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Cylindric Growth Diagrams, Walks in Simplices, and Exclusion Processes

Sergi Elizalde

P3.7
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Cluster Tori over $\mathbb{F}_2$, Hexagonal Moves on Triangulations, and Minimal Coverings of Cluster Manifolds

Daniel Pérez Melesio, José Simental

P3.8
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A Contratableau Model for K-Theoretic Littlewood–Richardson Rule

Siddheswar Kundu

P3.9
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A Combinatorial Proof of a Cubic Congruence for the $q$-Secant Inversion Enumerator

Ji-Cai Liu

P3.10
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Moments for Restricted Sum of Reciprocal Parts of Partitions

Byungchan Kim, Eunmi Kim

P3.11
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The Chromatic Symmetric Function for Unicyclic Graphs

Aram Bingham, Lisa Johnston, Colin Lawson, Rosa Orellana, Jianping Pan, Chelsea Sato

P3.12
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A Footnote to the KPT Theorem in Structural Ramsey Theory

Peter Cameron, Siavash Lashkarighouchani

P3.13
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Defective and Clustered Colouring of Graphs with Given Girth

Marcin Briański, Robert Hickingbotham, David R. Wood

P3.14
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Introducing Irrational Enumeration: Analytic Combinatorics for Objects of Irrational Size

David Bevan, Julien Condé

P3.15
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Rowmotion on the Chain of V's Poset and Whirling Dynamics

Matthew Plante, Tom Roby

P3.16
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RSK Linear Operators and the Vershik-Kerov-Logan-Shepp Curve

Duy Phan, David Xia

P3.17
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Counting with Two-Level Polynomials

Tristram Bogart, Kevin Woods

P3.18
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An Equality for Balanced Digraphs

Darij Grinberg, Benjamin Liber

P3.19
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Sesqui-Regular Graphs with Smallest Eigenvalue at Least $-3$

Qianqian Yang, Brhane Gebremichel, Masood Ur Rehman, Jae Young Yang, Jack H. Koolen

P3.20
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Edge-Coloured Graphs with only Monochromatic Perfect Matchings and Their Connection to Quantum Physics

L. Sunil Chandran, Rishikesh Gajjala

P3.21
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Blow-Ups and Extensions of Trees in Tournaments

Pierre Aboulker, Frédéric Havet, William Lochet, Raul Lopes, Lucas Picasarri-Arrieta, Clément Rambaud

P3.22
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A Star-Comb Lemma for Finite Digraphs

Florian Reich

P3.23
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A Note on Kalai's $3^d$ Conjecture

Gregory R. Chambers, Elia Portnoy

P3.24
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On the Weisfeiler-Leman Dimension of Some Polyhedral Graphs

Haiyan Li, Ilia Ponomarenko, Peter Zeman

P3.25
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The Insertion Encoding of Cayley Permutations

Christian Bean, Paul C. Bell, Abigail Ollson

P3.26
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On Alternating 6-Cycles in Edge-Coloured Graphs

Hao Chen, Jonathan Noel

P3.27
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The Number of Tiles of $\mathbb{Z}^d$

Itai Benjamini, Gady Kozma, Elad Tzalik

P3.28
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Spectral Radius, Transversal Hamilton Paths and Cycles in Bipartite Graph Families

Xiaocong He, Rongrong Lu

P3.29
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Hamiltonian Connectivity of Some Base-Cobase Graphs

Kolja Knauer, Leonardo Martínez-Sandoval

P3.30
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Words with Factor Complexity $2n+1$ and Minimal Critical Exponent

James D. Currie

P3.31
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Frozen-Corner Enumeration of Alternating Sign Matrices

Filippo Colomo, Andrei G. Pronko

P3.32
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Note on the Number of Almost Ordinary Triangles

Adrian Dumitrescu, János Pach

P3.33
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On the Terwilliger Algebras of Quasi-Thin Schurian Association Schemes

Roghayeh Maleki, Andriaherimanana Sarobidy Razafimahatratra

P3.34
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A Determinantal Formula for Cluster Variables in Cluster Algebras from Surfaces

Javier De Loera Chávez

P3.35
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Structured and Punctured Nullstellensätze

Erhard Aichinger, John R. Schmitt, Henry Zhan

P3.36
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New $r$-Euler-Mahonian Statistics Involving Denert's Statistic

Shao-Hua Liu

P3.37
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Four Relations on the Set of Point-Hyperplane Anti-Flags

Mark Pankov, Antonio Pasini

P3.38
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On the Second Largest Eigenvalue of Certain Graphs in the Perfect Matching Association Scheme

Himanshu Gupta, Allen Herman, Alice Lacaze-Masmonteil, Roghayehi Maleki, Karen Meagher

P3.39
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Cyclic Sieving of Multisets with Bounded Multiplicity and the Frobenius Coin Problem

Drew Armstrong

P3.40
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Vertex Connectivity of Friends-and-Strangers Graphs

Neil Krishnan, Rupert Li

P3.41
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Identifying Orbit Lengths for Promotion

Elise Catania, Jack Kendrick, Heather M. Russell, Julianna Tymoczko

P3.42
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A Combinatorial Method for Log-Concavity of Rows of Triangular Arrays

Umesh Shankar

P3.43
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Monochromatic Sums and Products with Additive or Multiplicative Shifts in Natural Numbers

Wen Huang, Song Shao, Tianyi Tao, Rongzhong Xiao, Ningyuan Yang

P3.44
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Quantum Chromatic Number of Subgraphs of Orthogonality Graphs and the Distance-2 Hamming Graph

Tao Luo, Yu Ning, Xiande Zhang

P3.45
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Pattern-Avoiding Peak Functions

Matthew Slattery-Holmes

P3.46
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Constructions for Positional Games and Applications to Domination Games

Dennis Clemens, Ali Deniz Bagdas, Fabian Hamann, Yannick Mogge

P3.47
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New Small Regular Graphs of Given Girth: the Cage Problem and Beyond

Geoffrey Exoo, Jan Goedgebeur, Jorik Jooken, Louis Stubbe, Tibo Van den Eede

P3.48
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On Increasing Sequences Formed by Points from a Random Finite Subset of a Hypercube

Boris Pittel

P3.49
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The Log-Convexity of the $n$-th Root Sequence of the Distinct Partition Function

Hui Guo, Zuo-Ru Zhang

P3.50
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On Graphs with Modularity Zero or Near-Zero

Colin McDiarmid, Fiona Skerman

P3.51
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A Simple Layered-Wheel-Like Construction

Maria Chudnovsky, David Fischer, Sepehr Hajebi, Sophie Spirkl, Bartosz Walczak

P3.52
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Corners of Self-Conjugate $(t,tk\pm 1)$-Core Partitions

Hyunsoo Cho, Ho-Hyeong Lee, Kyeongjun Lee, Hayan Nam, Jaebum Sohn

P3.53
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A New Approach to Naples Parking Functions Through Complete Parking Preferences, and its Enumerative Consequences

Luca Ferrari, Francesco Verciani

P3.54
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Treedepth and 2-Treedepth in Graphs with No Long Induced Paths

Jędrzej Hodor, Freddie Illingworth, Tomasz Mazur

P3.55
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Clique Number of Tournaments

Pierre Aboulker, Guillaume Aubian, Pierre Charbit, Raul Lopes

P3.56
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The Algebraic Frustration Dimension of a Graph

Uwe Schwerdtfeger

P3.57
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Tredoku Patterns

Simon R. Blackburn

P3.58
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An Improved Upper Bound on the Threshold Bias of the Oriented-Cycle Game

Anita Liebenau, Abdallah Saffidine, Jeffrey Yang

P3.59
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State Transfer on Mixed Graphs

Xingkun Song, Huiqiu Lin

P3.60
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Gamma Vectors of Partitioned Permutohedra

Tatsuya Horiguchi, Mikiya Masuda, Takashi Sato, John Shareshian, Jongbaek Song

P3.61
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Saturation of Edge-Ordered Graphs

Vladimir Bošković, Balázs Keszegh

P3.62
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$q$-Deformation of Chromatic Polynomials and Graphical Arrangements

Tongyu Nian, Shuhei Tsujie, Ryo Uchiumi, Masahiko Yoshinaga

P3.63
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Geodetic Graphs: Experiments and New Constructions

Florian Stober, Armin Weiß

P3.64
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Ordinal and Disjoint Sums of Partially Ordered Patterns

Sucharita Biswas, Umesh Shankar, Sivaramakrishnan Sivasubramanian

P3.65
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Planar Ternary Graphs, Flag Spheres, and Delannoy Polynomials

Margaret Bayer, Richard Danner, Thiago Holleben, Marie Kramer, Yirong Yang

P3.66
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Two-Dimensional Faces of Order and Chain Polytopes

Ragnar Freij-Hollanti, Teemu Lundström, Aki Mori

P3.67
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Asymptotics for Graphically Divergent Series: Dense Digraphs and 2-SAT Formulae

Sergey Dovgal, Khaydar Nurligareev

P3.68
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Tightness of a MaxCut Lower Bound via Vector Chromatic Number

Emanuel Juliano

P3.69
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Induced Matching Treewidth and Tree-Independence Number, Revisited

Noga Alon, Martin Milanič, Paweł Rzążewski

P3.70
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Extremal Results for Graphs with Binding Number Strictly Less Than $1/r$

Ruifang Liu, Hongyu Chen, Ao Fan

P3.71
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The Frobenius-Mex Theorem and the Crank-Mex Theorem

Bernard L.S. Lin, Andrew Y.Z. Wang, Yang Yang

P3.72
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Permanents, Matchings, Symmetric Group Characters, and the Problème des Ménages

Paul Renteln

P3.73
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Alon–Tarsi for Hypergraphs

Marcin Anholcer, Bartłomiej Bosek, Grzegorz Gutowski, Michał Lasoń, Jakub Przybyło, Oriol Serra, Michał Tuczyński, Lluís Vena, Mariusz Zając

P3.74
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A Variation of the Morris Constant Term

Guoce Xin, Chen Zhang

P3.75
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Monomial Stability of Frobenius Images

Nikita Borisov

P3.76
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Note on a Conjecture of Talagrand: Expectation Thresholds vs. Fractional Expectation Thresholds

Quentin Dubroff, Jeff Kahn, Jinyoung Park

P3.77
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Size Conditions for Pancyclicity of $t$-Tough Graphs

Caili Jia, Xiangge Liu, Yong Lu, Jiaxu Zhong

P3.78
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Integral Flows on Bidirected Eulerian Graphs

Jing Chen, Genghua Fan

P3.79
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The Critical Polynomials of Simple Connected Graphs

Tingting Wang, Lu Lu

P3.80
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The (Signless) Laplacian Spectral Radius with a Fixed Induced Subgraph of a Graph

Wen-Jun Li, Zhiwen Wang, Ji-Ming Guo

P3.81
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Bounds on the Spectral Radii of Berge $C_5$-Free Linear $r$-Graphs

Bo Dong, Cunxiang Duan, Ligong Wang

P3.82
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Arc-Weighted Acyclic Orientation of Graphs

Huan Zhou, Jialu Zhu, Xuding Zhu

P3.83
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On Sets of Subspaces with Restricted Hyperplane Intersection Numbers

Tim Alderson, Simeon Ball

P3.84
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Infinitesimal Bialgebra on Planar Binary Trees

Yong Yu, Xing Gao

P3.85
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Representation Theory and Cycle Statistics for Random Walks on the Symmetric Group

Dominic Arcona

P3.86
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Anti-Concentration with respect to Random Permutations

Aaron Berger, Ross Berkowitz, Patrick Devlin, Van Vu

P3.87
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Labeling and Folding Multi-Labeled Trees

Vincent Moulton, Andreas Spillner

P3.88
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Counterexamples to Generalizations of the Erdős $B+B+t$ Problem

Ethan Ackelsberg

P3.89
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