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Discrete Mathematics

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Total of 64 entries : 1-50 51-64
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Wed, 14 Oct 2026 (showing 30 of 30 entries )

[1] arXiv:2610.18714 [pdf, html, other]
Title: On Collusion-Free Teaching in Planar Graphs
Khazaliya Liana, Kuske Clemens
Subjects: Discrete Mathematics (cs.DM); Computational Complexity (cs.CC); Machine Learning (cs.LG)
[2] arXiv:2610.16926 [pdf, html, other]
Title: Graph Distortion Distances, Gromov-Hausdorff and the Hardness of Gromov-Wasserstein
Jens Breitung, Timo Gervens, Julius Pörzgen
Subjects: Discrete Mathematics (cs.DM); Computational Complexity (cs.CC); Combinatorics (math.CO)
[3] arXiv:2610.16764 [pdf, html, other]
Title: A note on Finiteness and Boundedness in Cartesian Products of Discrete and Well-Ordered Sets, Application to Transition Systems
Gerard Memmi
Comments: 14 pages 0 figure
Subjects: Discrete Mathematics (cs.DM); Formal Languages and Automata Theory (cs.FL)
[4] arXiv:2610.16561 [pdf, html, other]
Title: Period Piece: NEXPTIME-complete problems on digraphs via Boolean network dynamics
Florian Bridoux, Maximilien Gadouleau, David C. Kutner, Adrien Richard
Comments: 35 pages, 5 figures
Subjects: Discrete Mathematics (cs.DM); Computational Complexity (cs.CC); Combinatorics (math.CO)
[5] arXiv:2610.15370 [pdf, html, other]
Title: A Four-by-Four Obstruction to Polynomial Removal for Ordered Binary Matrices
Zinan Wang
Comments: Lean formalization and verification sources included as ancillary files
Subjects: Discrete Mathematics (cs.DM); Combinatorics (math.CO)
[6] arXiv:2610.15057 [pdf, html, other]
Title: Almost every Boolean function has central threshold degree
Martin Anthony
Comments: 12 pages
Subjects: Discrete Mathematics (cs.DM); Information Theory (cs.IT); Combinatorics (math.CO)
[7] arXiv:2610.14681 [pdf, html, other]
Title: Pairwise Compatibility Graphs of Unweighted Caterpillars
Cyriac Antony, Manuel Lafond, Angelo Monti, Blerina Sinaimeri
Subjects: Discrete Mathematics (cs.DM); Combinatorics (math.CO)
[8] arXiv:2610.18698 (cross-list from math.PR) [pdf, html, other]
Title: A Randomized Approximation Algorithm for Doubly Free-Boundary Macdonald Processes
Zhongyang Li
Subjects: Probability (math.PR); Discrete Mathematics (cs.DM); Data Structures and Algorithms (cs.DS); Combinatorics (math.CO); Computation (stat.CO)
[9] arXiv:2610.18537 (cross-list from cs.CC) [pdf, html, other]
Title: PSPACE-completeness of the Hunters and Rabbit game
Walid Ben-Ameur, Alessandro Maddaloni
Subjects: Computational Complexity (cs.CC); Discrete Mathematics (cs.DM)
[10] arXiv:2610.18328 (cross-list from cs.DS) [pdf, html, other]
Title: A Practical Combinatorial Interior Point Method for Minimum-Cost Flow
Emil Schätzle, Simon Meierhans, Rasmus Kyng, Maximilian Probst Gutenberg
Comments: Submitted to the 13th DIMACS Implementation Challenge: Network Flows 2.0
Subjects: Data Structures and Algorithms (cs.DS); Discrete Mathematics (cs.DM); Optimization and Control (math.OC)
[11] arXiv:2610.17416 (cross-list from cs.GT) [pdf, html, other]
Title: Dynamic Run-Out Pricing for Perishable Goods
Farbod Ekbatani
Subjects: Computer Science and Game Theory (cs.GT); Discrete Mathematics (cs.DM)
[12] arXiv:2610.17100 (cross-list from math.CO) [pdf, html, other]
Title: Block Sensitivity and Certificate Complexity of Rotation Symmetric Boolean Functions
Yuan Li, Jing Zhang
Comments: 22 pages
Subjects: Combinatorics (math.CO); Computational Complexity (cs.CC); Discrete Mathematics (cs.DM)
[13] arXiv:2610.17006 (cross-list from math.CO) [pdf, html, other]
Title: Sensitivity of Rotation Symmetric Boolean Functions via Binary Necklaces
Yuan Li, Jing Zhang
Comments: 27 pages
Subjects: Combinatorics (math.CO); Computational Complexity (cs.CC); Discrete Mathematics (cs.DM)
[14] arXiv:2610.16898 (cross-list from cs.DS) [pdf, html, other]
Title: Exponential Local Search in Bounded-Occurrence MAX-CSP
Sophia Heimann, Hung P. Hoang, Stefan Hougardy
Subjects: Data Structures and Algorithms (cs.DS); Discrete Mathematics (cs.DM); Combinatorics (math.CO)
[15] arXiv:2610.16266 (cross-list from math.CO) [pdf, html, other]
Title: Towards a Sum-of-Squares Proof for the Nonexistence of Conway's 99-graph
Joseph Natal, Oleksiy Al-saadi
Comments: 6 pages, 2 figures
Subjects: Combinatorics (math.CO); Discrete Mathematics (cs.DM)
[16] arXiv:2610.16258 (cross-list from math.CO) [pdf, html, other]
Title: Elementary graphs are chromatic-choosable
Narayanan N, Nandana K. Vasudevan, K. Somasundaram
Comments: 13 page, 5 figures, 1 table
Subjects: Combinatorics (math.CO); Discrete Mathematics (cs.DM)
[17] arXiv:2610.16025 (cross-list from cs.DS) [pdf, html, other]
Title: QPTAS for Max Weight Independent Set in Graphs with Strongly Edge-Sublinear Separators
Édouard Bonnet, Yeonsu Chang
Comments: 23 pages
Subjects: Data Structures and Algorithms (cs.DS); Discrete Mathematics (cs.DM); Logic in Computer Science (cs.LO); Combinatorics (math.CO)
[18] arXiv:2610.15909 (cross-list from math.CO) [pdf, html, other]
Title: Two Linear Programs are Better than One
Alexander E. Black, Christoph Hertrich, Stefan Kober, Georg Loho
Subjects: Combinatorics (math.CO); Computational Complexity (cs.CC); Discrete Mathematics (cs.DM); Machine Learning (cs.LG); Optimization and Control (math.OC)
[19] arXiv:2610.15658 (cross-list from cs.MA) [pdf, other]
Title: Dynamic Conflict Clustering with Lightweight Learning and Strategic Repair for Distributed Constraint Satisfaction
Raziyeh Moghaddas, Fabio Caraffini
Subjects: Multiagent Systems (cs.MA); Artificial Intelligence (cs.AI); Discrete Mathematics (cs.DM)
[20] arXiv:2610.15631 (cross-list from cs.IT) [pdf, html, other]
Title: Binary Codes Correcting Multiple Edits via Polynomial Hashing and Entropy Recycling
Quan D. Bui, Shuche Wang, Van Khu Vu
Subjects: Information Theory (cs.IT); Discrete Mathematics (cs.DM)
[21] arXiv:2610.15601 (cross-list from quant-ph) [pdf, html, other]
Title: A Quantum Analogue of the Covering Lemma: Limits of Exact Anonymous Computation
Giuseppe Di Molfetta, Petra Camilli
Subjects: Quantum Physics (quant-ph); Distributed, Parallel, and Cluster Computing (cs.DC); Discrete Mathematics (cs.DM)
[22] arXiv:2610.15468 (cross-list from cs.DS) [pdf, html, other]
Title: FirstFit coloring process of random bipartite graphs and an online coloring lower bound in the random order model
Yaqiao Li, Xin Li
Subjects: Data Structures and Algorithms (cs.DS); Discrete Mathematics (cs.DM); Combinatorics (math.CO); Probability (math.PR)
[23] arXiv:2610.15222 (cross-list from cs.DS) [pdf, html, other]
Title: A Fast Greedy Algorithm with a 0.45 Approximation Guarantee for the Airplane Refueling Problem
Oleg Lomachenko, Arnold Enikeev
Comments: 14 pages, 1 figure (4 panels), 1 algorithm
Subjects: Data Structures and Algorithms (cs.DS); Discrete Mathematics (cs.DM)
[24] arXiv:2610.15145 (cross-list from math.CO) [pdf, html, other]
Title: Nim heaps in the Game of Cycles: the parity conjecture fails on trees
Muchen Xu
Comments: 35 pages, 3 figures, 7 tables. Ancillary files contain all programs and data
Subjects: Combinatorics (math.CO); Discrete Mathematics (cs.DM)
[25] arXiv:2610.14979 (cross-list from math.CO) [pdf, html, other]
Title: Sharp bounds and extremal structure of minimally strongly $k$-connected digraphs
Junran Yu, Gregory Gutin, Hong-Jian Lai, Xiaoyan Zhang
Subjects: Combinatorics (math.CO); Discrete Mathematics (cs.DM)
[26] arXiv:2610.14962 (cross-list from math.OC) [pdf, html, other]
Title: Non-convex integer programming: a deterministic solution method of the large block sale problem
David Nizard, Dominique Quadri
Subjects: Optimization and Control (math.OC); Discrete Mathematics (cs.DM)
[27] arXiv:2610.14892 (cross-list from math.CO) [pdf, html, other]
Title: Coefficientwise Extremality and Rigidity for Independent Sets in Bipartite Graph Covers
Yusuke Watanabe
Comments: 39 pages. Main Theorems A-C formalized in Lean 4; code: this https URL
Subjects: Combinatorics (math.CO); Discrete Mathematics (cs.DM)
[28] arXiv:2610.14217 (cross-list from math.CO) [pdf, html, other]
Title: The Path Partition Conjecture and 3-(quasi-)Transitive Digraphs
Shamik Ghosh, Jing Huang
Comments: 27 pages, 2 figures
Subjects: Combinatorics (math.CO); Discrete Mathematics (cs.DM)
[29] arXiv:2610.14099 (cross-list from math.CO) [pdf, html, other]
Title: Maximally symmetric $(23_4)$ configurations and the end of the existence problem for geometric $(n_4)$ configurations
Wenhao Lu
Comments: 25 pages, 3 figures. Code, polynomial certificates and Lean 4 files: this https URL
Subjects: Combinatorics (math.CO); Computational Geometry (cs.CG); Discrete Mathematics (cs.DM)
[30] arXiv:2610.14085 (cross-list from math.PR) [pdf, html, other]
Title: Satisfiability and freezing in random integer programs
Dylan J. Altschuler, Ruben Ascoli, Will Perkins
Comments: Minimal AI usage. Comments welcome. 49 pages
Subjects: Probability (math.PR); Discrete Mathematics (cs.DM); Combinatorics (math.CO)

Mon, 12 Oct 2026 (showing 5 of 5 entries )

[31] arXiv:2610.13244 [pdf, html, other]
Title: Equitable Subpartitionability Does Not Characterize Box-TDI Polyhedra
Emiliano Lancini, Francesco Pisanu
Comments: 6 pages
Subjects: Discrete Mathematics (cs.DM)
[32] arXiv:2610.13096 [pdf, html, other]
Title: Detection and Construction of Small Blocking Sets via Critical Independent Sets and Matching Decomposition
Quanlong Niu, Riheng Jia
Subjects: Discrete Mathematics (cs.DM)
[33] arXiv:2610.12613 [pdf, html, other]
Title: Maximal Linear Arrangement is NP complete on Bipartite Graphs
Aparna Das, Jonathan Needleman
Comments: 11 pages
Subjects: Discrete Mathematics (cs.DM); Combinatorics (math.CO)
[34] arXiv:2610.13270 (cross-list from cs.DS) [pdf, html, other]
Title: Polynomial directed treewidth forces a large bramble with congestion two
Victor A. Campos, Raul Lopes, Rodrigo Nogueira, Ignasi Sau
Subjects: Data Structures and Algorithms (cs.DS); Discrete Mathematics (cs.DM); Combinatorics (math.CO)
[35] arXiv:2610.12720 (cross-list from math.CO) [pdf, html, other]
Title: The Stable Marriage Polytope is Box-Totally Dual Integral
Michele Barbato, Emiliano Lancini
Comments: 6 pages
Subjects: Combinatorics (math.CO); Discrete Mathematics (cs.DM)

Fri, 9 Oct 2026 (showing 11 of 11 entries )

[36] arXiv:2610.10632 [pdf, html, other]
Title: Counting Polyominoes, Revisited: Corrigendum and Addendum
Gill Barequet, Gil Ben-Shachar
Journal-ref: Counting Polyominoes, Revisited. Algorithmica (2026) 88:51
Subjects: Discrete Mathematics (cs.DM)
[37] arXiv:2610.10599 [pdf, html, other]
Title: An upper bound of 4.268 for the random 3-SAT satisfiability threshold
Fedor Vorobyev
Comments: 16 pages, 1 figure. Includes a complete Lean 4 formalization and a reproducible rational certificate
Subjects: Discrete Mathematics (cs.DM); Probability (math.PR)
[38] arXiv:2610.12357 (cross-list from quant-ph) [pdf, html, other]
Title: Improved Local Leakage Resilience of Shamir Secret Sharing and Worst-Case Optimal Polynomial Intersection
Yihang Sun, Mary Wootters
Comments: 70 pages, 3 figures
Subjects: Quantum Physics (quant-ph); Cryptography and Security (cs.CR); Discrete Mathematics (cs.DM); Information Theory (cs.IT)
[39] arXiv:2610.12122 (cross-list from math.CO) [pdf, html, other]
Title: Lower bounds for Ramsey numbers: $\mathrm{R}(6,8)\ge 135$ and $\mathrm{R}(8,10)\ge 345$
Fritz Cremer
Comments: 8 pages, 2 figures
Subjects: Combinatorics (math.CO); Discrete Mathematics (cs.DM)
[40] arXiv:2610.11473 (cross-list from cs.DS) [pdf, html, other]
Title: An ETH-based quasipolynomial lower bound for Dualization
Yasuaki Kobayashi, Kazuhiro Kurita, Kunihiro Wasa
Subjects: Data Structures and Algorithms (cs.DS); Discrete Mathematics (cs.DM)
[41] arXiv:2610.10911 (cross-list from math.OC) [pdf, html, other]
Title: Integer programming on polytopes of Chvátal rank one is as hard as lattice problems
Alberto Del Pia
Subjects: Optimization and Control (math.OC); Computational Complexity (cs.CC); Discrete Mathematics (cs.DM)
[42] arXiv:2610.10831 (cross-list from math.CO) [pdf, html, other]
Title: Tweaking the constant in the Linear Hadwiger Theorem
David R. Wood
Comments: This paper was first submitted to the arXiv before the announcement of the disproof of Hadwiger's Conjecture
Subjects: Combinatorics (math.CO); Discrete Mathematics (cs.DM)
[43] arXiv:2610.10800 (cross-list from math.CO) [pdf, html, other]
Title: Decomposition Profiles and Weisfeiler-Leman Dimension for Graphs of Bounded Rank Width
Antonios Kalampakas
Comments: 44 pages. Includes ancillary verification code
Subjects: Combinatorics (math.CO); Discrete Mathematics (cs.DM); Logic in Computer Science (cs.LO)
[44] arXiv:2610.10737 (cross-list from math.CO) [pdf, html, other]
Title: Obstructions to $k$-colouring $H$-free graphs
Iain Beaton, Ben Cameron, Adam van Omme
Subjects: Combinatorics (math.CO); Discrete Mathematics (cs.DM)
[45] arXiv:2610.10596 (cross-list from cs.DS) [pdf, html, other]
Title: Dijkstra Is NOT Greedy: A Global-to-Local Proof of Correctness
Shengbao Wang
Comments: 9 pages, 1 figure
Subjects: Data Structures and Algorithms (cs.DS); Discrete Mathematics (cs.DM); Optimization and Control (math.OC)
[46] arXiv:2610.05617 (cross-list from cs.DS) [pdf, html, other]
Title: Prime factorisation of stable-matching instances: uniqueness, simultaneous products, and an exact census
Yoshiteru Ishida
Comments: 29 pages, 1 figure. Ancillary files: an independent verification script that reproduces every exhaustive and exact count in the paper, and a cross-check of the two implementations
Subjects: Data Structures and Algorithms (cs.DS); Discrete Mathematics (cs.DM); Computer Science and Game Theory (cs.GT); Combinatorics (math.CO)

Thu, 8 Oct 2026 (showing first 4 of 10 entries )

[47] arXiv:2610.09968 [pdf, html, other]
Title: Perfect Italian Domination on and Near Split Graphs: Algorithms, Hardness, and Approximation
Anand Babu N B, Ashwin Jacob, Manjusha M S, Renjith P
Comments: Submitted to CALDAM 2027
Subjects: Discrete Mathematics (cs.DM)
[48] arXiv:2610.09175 [pdf, html, other]
Title: An Efficient Algorithm for the Quickest Path Reliability Problem
Majid Forghani-elahabad
Subjects: Discrete Mathematics (cs.DM)
[49] arXiv:2610.08893 [pdf, html, other]
Title: A symmetric conference matrix of order 86
Harshit Verma
Subjects: Discrete Mathematics (cs.DM); Combinatorics (math.CO)
[50] arXiv:2610.10474 (cross-list from cs.DS) [pdf, html, other]
Title: Fast Almost-Uniform Sampling of Random $k$-SAT Solutions
Kun He, Zhidan Li, Kuan Yang
Subjects: Data Structures and Algorithms (cs.DS); Discrete Mathematics (cs.DM); Probability (math.PR)
Total of 64 entries : 1-50 51-64
Showing up to 50 entries per page: fewer | more | all