Volume 33, Issue 1 ( 2026)

Ramsey Numbers Through the Lenses of Polynomial Ideals and Nullstellensätze

Jesús A. De Loera, William J. Wesley

P1.1
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Eigenspace Embeddings of Imprimitive Association Schemes

Janoš Vidali

P1.2
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Combinatorial Enumeration of Lattice Paths by Flaws with Respect to a Linear Boundary of Rational Slope

Federico Firoozi, Jonathan Jedwab, Amarpreet Rattan

P1.3
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A Note on the Minimum Size of Turán Systems

Xizhi Liu, Oleg Pikhurko

P1.4
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Thron-Type Continued Fractions (T-Fractions) for Some Classes of Increasing Trees

Veronica Bitonti, Bishal Deb, Alan D. Sokal

P1.5
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Monochromatic Partitions in 2-Edge-Coloured Bipartite Graphs

Camila Fernández, Matías Pavez-Signé, Maya Stein

P1.6
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Treewidth of Generalized Hamming Graph, Bipartite Kneser Graph and Generalized Petersen Graph

Yichen Wang, Mengyu Cao, Zequn Lv, Mei Lu

P1.7
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Examining Kempe Equivalence via Commutative Algebra

Hidefumi Ohsugi, Akiyoshi Tsuchiya

P1.8
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New Bijective Proofs Pertaining to Alternating Sign Matrices

Takuya Inoue

P1.9
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On Cospectral Graphons

Jan Hladký, Daniel Iľkovič, Jared León, Xichao Shu

P1.10
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A Construction that Preserves the Configuration of a Matroid, with Applications to Lattice Path Matroids

Joseph E. Bonin, Anna de Mier

P1.11
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A Local Framework for Proving Combinatorial Matrix Inversion Theorems

Aditya Khanna, Nicholas A. Loehr

P1.12
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Resolving Sets and Split Resolving Sets of Symmetric Designs

Ákos Beke

P1.13
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Fourier Analysis on Distance-Regular Cayley Graphs over Abelian Groups

Xiongfeng Zhan, Xueyi Huang, Lu Lu

P1.14
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Maximum Size $t$-Intersecting Families and Anticodes

Xuan Wang, Tuvi Etzion, Denis S. Krotov, Minjia Shi

P1.15
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On Cube-Free Problems

Yuchen Meng

P1.16
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Defective Coloring of Blowups

Sergey Norin, Raphael Steiner

P1.17
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Sharp Bounds on Lengths of Linear Recolouring Sequences

Stijn Cambie, Wouter Cames van Batenburg, Daniel W. Cranston

P1.18
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On Turán-Type Problems and the Abstract Chromatic Number

Dániel Gerbner, Hilal Hama Karim, Gaurav Kucheriya

P1.19
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Cyclic Ordering of Split Matroids

Kristóf Bérczi, Áron Jánosik, Bence Mátravölgyi

P1.20
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Dirac's Theorem for Graphs of Bounded Bandwidth

Alberto Espuny Díaz, Pranshu Gupta, Domenico Mergoni Cecchelli, Olaf Parczyk, Amedeo Sgueglia

P1.21
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Creating Subgraphs in Semi-Random Hypergraph Games

Natalie Behague, Paweł Prałat, Andrzej Ruciński

P1.22
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Factorizations of Regular Graphs of Infinite Degree

Marcin Stawiski

P1.23
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Ubiquity of Power Sums in Graph Profiles

Grigoriy Blekherman, Annie Raymond

P1.24
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Minimal Cellular Resolutions of Powers of Graphs

Trung Chau, Tài Huy Hà, Aryaman Maithani

P1.25
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The Sparse Regularity Method with Schatten Norms and Entropy

Alexandru Pascadi

P1.26
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Partitions of Planar (Oriented) Graphs into a Connected Acyclic and an Independent Set

Stijn Cambie, François Dross, Kolja Knauer, Hoang La, Petru Valicov

P1.27
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A Toric Analogue for Greene's Rational Function of a Poset

Elise Catania

P1.28
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The Lie Algebra $\mathfrak{sl}_4(\mathbb C)$ and the Hypercubes

William J. Martin, Paul Terwilliger

P1.29
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Myrvold's Results on Orthogonal Triples of 10 × 10 Latin Squares: A SAT Investigation

Curtis Bright, Amadou Keita, Brett Stevens

P1.30
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Coloring Locally Sparse Graphs

James Anderson, Abhishek Dhawan, Aiya Kuchukova

P1.31
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Distant Digraph Domination

Tung Nguyen, Alexander Scott, Paul Seymour

P1.32
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Completing the Solution of the Directed Oberwolfach Problem with Two Tables

Daniel Horsley, Alice Lacaze-Masmonteil

P1.33
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Color-Constrained Arborescences in Edge-Colored Digraphs

P. S. Ardra, Jasine Babu, R. Krithika, Deepak Rajendraprasad

P1.34
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Sabotaging Mantel's Theorem

Natalie Behague, Debsoumya Chakraborti, Xizhi Liu

P1.35
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The Chow and Augmented Chow Polynomials of Uniform Matroids

Elena Hoster

P1.36
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Large Matchings and nearly Spanning, nearly Regular Subgraphs of Random Subgraphs

Sahar Diskin, Joshua Erde, Mihyun Kang, Michael Krivelevich

P1.37
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Amending the Lonely Runner Spectrum Conjecture

Ho Tin Fan, Alec Sun

P1.38
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On Ribbon Graphs that Admit a Partial Dual of Euler Genus at Most Two

Isidoro Gitler, José de Jesús Rodríguez-Martínez , Guadalupe Rodríguez Sánchez

P1.39
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A Connection Between Unbordered Partial Words and Sparse Rulers

Aleksi Saarela, Aleksi Vanhatalo

P1.40
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A Canonical Ramsey Theorem with List Constraints in Random (Hyper-)graphs

José D. Alvarado, Yoshiharu Kohayakawa, Patrick Morris, Guilherme O. Mota

P1.41
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Spectral Turán Problems for Nondegenerate Hypergraphs

Jian Zheng, Honghai LI, Yi-Zheng Fan

P1.42
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Adjacent Cycle-Chains are $e$-Positive

Foster Tom, Aarush Vailaya

P1.43
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Hypertree Shrinking Avoiding Low Degree Vertices

Karolína Hylasová, Tomáš Kaiser

P1.44
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An Unsure Note on an Un-Schur Problem

Olaf Parczyk, Christoph Spiegel

P1.45
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Generalized Turán Problem with Bounded Matching Number

Yue Ma, Xinmin Hou, Zhi Yin

P1.46
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Minimizing the Number of Unions

Žarko Ranđelović

P1.47
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Positive Co-Degree Thresholds for Spanning Structures

Anastasia Halfpap, Van Magnan

P1.48
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Pattern-Avoiding Shallow Permutations

Kassie Archer, Aaron Geary, Robert P. Laudone

P1.49
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The Distribution on Permutations Induced by a Random Parking Function

Ross G. Pinsky

P1.50
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A Note on Partitioning the Vertex Set of a Graph into a Dominating Set and a Locating Dominating Set

Dipayan Chakraborty, Florent Foucaud, Michael A. Henning, Tero Laihonen

P1.51
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A Combinatorial Proof of an Identity Involving Eulerian Numbers

Jerónimo Valencia Porras

P1.52
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A Signed Graph Analogue of Acyclic Orientation Polynomials and the Sink Theorem

Kang-Ju Lee

P1.53
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On Cages and Choosing with Symmetries

C. M. De la Cruz , M.A. Pizaña

P1.54
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Suns in Triangle-Free Graphs of Large Chromatic Number

Sepehr Hajebi, Sophie Spirkl

P1.55
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Finer Control on Relative Sizes of Iterated Sumsets

Jacob Fox, Noah Kravitz, Shengtong Zhang

P1.56
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New Identities in the Character Table of Symmetric Groups involving Riordan Numbers

David J. Hemmer, Armin Straub, Karlee J. Westrem

P1.57
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New Optima for the Deletion Shadow

Benedict Randall Shaw

P1.58
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The Metric Dimension of Sparse Random Graphs

Josep Díaz, Harrison Hartle, Cristopher Moore

P1.59
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Extrema of Local Mean and Local Density in a Tree

Ruoyu Wang

P1.60
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Single SEM Schubert Polynomials

Dora Woodruff

P1.61
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Refined Product Formulas for Tamari Intervals

Alin Bostan, Frédéric Chyzak, Vincent Pilaud

P1.62
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