Volume 32, Issue 1 (2025)

The 3-Dicritical Semi-Complete Digraphs

Frédéric Havet, Florian Hörsch, Lucas Picasarri-Arrieta

P1.1
- PDF
On the Asymptotic Behavior for Partitions Separated by Parity

Kathrin Bringmann, William Craig, Caner Nazaroglu

P1.2
- PDF
Counting Occurrences of Patterns in Permutations

Andrew R. Conway, Anthony J Guttmann

P1.3
- PDF
A Refinement of and a Companion to MacMahon's Partition Identity

Matthew C. Russell

P1.4
- PDF
Maximum Spread of $K_{s,t}$-Minor-Free Graphs

William Linz, Linyuan Lu, Zhiyu Wang

P1.5
- PDF
A Constructive Winning Maker Strategy in the Maker-Breaker $C_4$-Game

Matthias Sowa, Anand Srivastav

P1.6
- PDF
On (Shape-)Wilf-Equivalence of Certain Sets of (Partially Ordered) Patterns

Alexander Burstein, Tian Han, Sergey Kitaev, Philip B. Zhang

P1.7
- PDF
Long Cycles in Percolated Expanders

Maurício Collares, Sahar Diskin, Joshua Erde, Michael Krivelevich

P1.8
- PDF
Sharp Szemerédi-Trotter Constructions in the Plane

Larry Guth, Olivine Silier

P1.9
- PDF
Piercing Independent Sets in Graphs without Large Induced Matching

Jiangdong Ai, Hong Liu, Zixiang Xu, Qiang Zhou

P1.10
- PDF
Kromatic Quasisymmetric Functions

Eric Marberg

P1.11
- PDF
Demazure Crystals for Flagged Key Polynomials

Jiayi Wen

P1.12
- PDF
Homological Algebra of Nakayama Algebras and 321-Avoiding Permutation

Eirini Chavli, Rene Marczinzik

P1.13
- PDF
Permanental Inequalities for Totally Positive Matrices

Mark Skandera, Daniel Soskin

P1.14
- PDF
The Clairvoyant Maître d'

Reed Acton, T. Kyle Petersen, Blake Shirman, Bridget Eileen Tenner

P1.15
- PDF
Generalized Ramsey Numbers at the Linear and Quadratic Thresholds

Patrick Bennett, Ryan Cushman, Andrzej Dudek

P1.16
- PDF
The Linear $q$-Hypergraph Process

Sayok Chakravarty, Nicholas Spanier

P1.17
- PDF
On the Quantum Chromatic Numbers of Small Graphs

Olivier Lalonde

P1.18
- PDF
Independent Removable Edges in Cubic Bricks

Fuliang Lu, Jianguo Qian

P1.19
- PDF
The Maximum Number of Connected Sets in Regular Graphs

Stijn Cambie, Jorik Jooken, Jan Goedgebeur

P1.20
- PDF
On the Evolution of Random Integer Compositions

David Bevan, Dan Threlfall

P1.21
- PDF
A Proof of the $(n,k,t)$ Conjectures

Stacie Baumann, Joseph Briggs

P1.22
- PDF
A Note on Uncountably Chromatic Graphs

Nathan Bowler, Max Pitz

P1.23
- PDF
New Strongly Regular Graphs Found via Local Search for Partial Difference Sets

Andrew C. Brady

P1.24
- PDF
The Number of Edge Colorings with Small Independence Number and No Monochromatic $H$

Xinyu Hu, Qizhong Lin, Jiaxi Nie

P1.25
- PDF
Graphs without a 3-Connected Subgraph are 4-Colourable

Édouard Bonnet, Carl Feghali, Tung Nguyen, Alex Scott, Paul Seymour, Stéphan Thomassé, Nicolas Trotignon

P1.26
- PDF
On Set Representation of Bounded Degree Hypergaphs

Ayush Basu, Griffin Johnston, Vojtěch Rödl, Marcelo Sales

P1.27
- PDF
Lower Bounds on Face Numbers of Polytopes with $m$ Facets

Joshua Hinman

P1.28
- PDF
Generalized Crowns in Linear $r$-Graphs

Lin-Peng Zhang, Hajo Broersma, Ligong Wang

P1.29
- PDF
The Minimum Spectral Radius of $tP_3$- or $K_5$-Saturated Graphs via the Number of $2$-Walks

Jiangdong Ai, Pei Liu, Suil O, Junxue Zhang

P1.30
- PDF
A Hypergraph Analog of Dirac's Theorem for Long Cycles in 2-Connected Graphs, II: Large Uniformities

Alexandr Kostochka, Ruth Luo, Grace McCourt

P1.31
- PDF
An Interlacing Property of the Signless Laplacian of Threshold Graphs

Christoph Helmberg, Guilherme Porto, Guilherme Torres, Vilmar Trevisan

P1.32
- PDF
Some Bounds on the Threshold Dimension of Graphs

Mathew C. Francis, Atrayee Majumder, Rogers Mathew

P1.33
- PDF
The Degree Threshold for Covering with all the Connected $3$-Graphs with $3$ Edges

Yue Ma, Xinmin Hou, Zhi Yin

P1.34
- PDF
Minimum Degree Conditions for Hamilton $l$-Cycles in $k$-Uniform Hypergraphs

Jie Han, Lin Sun, Guanghui Wang

P1.35
- PDF
Braces of Perfect Matching Width 2

Archontia C. Giannopoulou, Meike Hatzel, Sebastian Wiederrecht

P1.36
- PDF
Structural Szemerédi-Trotter for Lattices and their Generalizations

Shival Dasu, Adam Sheffer, Junxuan Shen

P1.37
- PDF
Pascal's Formulas and Vector Fields

Philippe Chassaing, Jules Flin, Alexis Zevio

P1.38
- PDF
A Combinatorial Interpretation of the Noncommutative Inverse Kostka Matrix

Edward E. Allen, Sarah K. Mason

P1.39
- PDF
Ascent Sequences Avoiding a Triple of Length-3 Patterns

David Callan, Toufik Mansour

P1.40
- PDF
Shellability of Componentwise Discrete Polymatroids

Antonino Ficarra

P1.41
- PDF
Problems, Proofs, and Disproofs on the Inversion Number

Guillaume Aubian, Frédéric Havet, Florian Hörsch, Felix Kingelhoefer, Nicolas Nisse, Clément Rambaud, Quentin Vermande

P1.42
- PDF
Low Rank Groups of Lie Type Acting Point- and Line-Primitively on Finite Generalised Quadrangles

Vishnuram Arumugam, John Bamberg, Michael Giudici

P1.43
- PDF
A Note on the Invertibility of Oriented Graphs

Natalie Behague, Tom Johnston, Natasha Morrison, Shannon Ogden

P1.44
- PDF
The Image of a Tropical Linear Space

Joshua Mundinger

P1.45
- PDF