Mathematics - Combinatorics

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Combinatorics Understanding Matching Arrangements in Graphs

A simple guide to matching arrangements and their applications.

A. I. Bolotnikov, A. A. Irmatov

2025-04-24T15:10:48+00:00 ― 5 min read

Latest Articles

Combinatorics The Fascination of Radial Moore Graphs

A look into the unique world of radial Moore graphs and their properties.

Jesús M. Ceresuela, Nacho López

2025-04-22T06:47:42+00:00 ― 7 min read

Combinatorics Hamiltonian Cycles in n-ary Cubes: A Deep Dive

Discover the fascinating world of Hamiltonian cycles and their significance in n-ary cubes.

Baolai Liao, Fan Wang

2025-04-21T20:21:12+00:00 ― 5 min read

Combinatorics Connecting the Dots: The Art of Graph Construction

Learn the basics of graph construction and its practical applications in everyday life.

Jeffrey Gao, Paul C. Kainen

2025-04-21T14:05:18+00:00 ― 6 min read

Probability The Surprising Link Between Birthdays and Hypergraphs

Discover how hypergraphs and probability intertwine with the birthday problem.

Yangxinyu Xie, Bhaswar B. Bhattacharya

2025-04-19T17:41:30+00:00 ― 7 min read

Combinatorics The Fascinating World of Polytopes and Stabbing Sets

Discover the intriguing connections between geometry, polytopes, and stabbing sets.

Sebastian Seemann, Francesca Zaffalon

2025-04-19T07:02:10+00:00 ― 6 min read

Combinatorics Semigroups: A Deeper Look into Numbers

Discover the fascinating world of semigroups and their unique properties.

Carmelo Cisto, Raquel Tapia-Ramos

2025-04-18T20:22:50+00:00 ― 5 min read

Combinatorics Mastering Interval Orders and Their Applications

Learn how interval orders shape scheduling and data management.

André E. Kézdy, Jenő Lehel

2025-04-18T04:23:50+00:00 ― 5 min read

Combinatorics Unpacking Transversal Structures in Graph Theory

Explore the fascinating world of transversal structures and their significance in graph theory.

Wanting Sun, Guanghui Wang, Lan Wei

2025-04-17T09:45:00+00:00 ― 6 min read

Combinatorics The Fascinating World of Automatic Sequences

Explore the intriguing patterns and systems in automatic sequences of mathematics.

Elżbieta Krawczyk

2025-04-14T17:49:00+00:00 ― 7 min read

Combinatorics Unlocking the Secrets of Cosmological Polytopes

Discover how polytopes help us understand the universe's mysteries.

Justus Bruckamp, Lina Goltermann, Martina Juhnke

2025-04-13T12:30:50+00:00 ― 6 min read

Combinatorics The Endless Paths of Infinite Digraphs

Discover the fascinating world of digraphs and their infinite paths.

Matthias Hamann, Karl Heuer

2025-04-13T09:51:00+00:00 ― 6 min read

Differential Geometry Journey Through Minimal Submanifolds and Symmetric Spaces

Explore the fascinating world of minimal surfaces and their structures.

Mikolaj Fraczyk, Ben Lowe

2025-04-13T07:11:10+00:00 ― 5 min read

Combinatorics The Role of Linear Compartmental Models in Understanding Systems

Learn how linear compartmental models track movement through various systems.

Cashous Bortner, John Gilliana, Dev Patel

2025-04-12T12:32:20+00:00 ― 6 min read

Artificial Intelligence Unlocking Complex Relationships: Graphs and Neural Networks

Dive into the world of graphs, hypergraphs, and neural networks.

Takaaki Fujita

2025-04-10T12:35:20+00:00 ― 9 min read

Logic Discovering the Depths of Semi-Pfaffian Sets

An overview of semi-Pfaffian sets and their practical applications.

Martin Lotz, Abhiram Natarajan, Nicolai Vorobjov

2025-04-10T01:56:00+00:00 ― 5 min read

Algebraic Geometry Discovering Tropical Geometry: A New Perspective

Tropical geometry blends geometry and combinatorics for fresh insights.

Renzo Cavalieri, Andreas Gross

2025-04-09T12:36:50+00:00 ― 5 min read

Combinatorics Unlocking the World of Alcoved Polytopes

Discover the intriguing shapes and their mathematical significance.

Elisabeth Bullock, Yuhan Jiang

2025-04-09T09:57:00+00:00 ― 7 min read

Classical Analysis and ODEs The Unique World of the Deformed Exponential Function

A deep dive into the deformed exponential function and its intriguing properties.

Alexey Kuznetsov

2025-04-08T20:37:50+00:00 ― 7 min read

Combinatorics The Quest for the Popular Toy

Mathematicians explore the mystery of union-closed set families and their beloved toys.

Shagnik Das, Saintan Wu

2025-04-06T02:02:00+00:00 ― 7 min read

Dynamical Systems Unraveling the Mysteries of Ergodic Theory

Explore how systems evolve over time and reveal hidden patterns.

Rongzhong Xiao

2025-04-05T23:22:10+00:00 ― 6 min read

Combinatorics Unraveling the Mysteries of Pin Classes

Dive into the fascinating world of permutations and pin classes.

Robert Brignall, Ben Jarvis

2025-04-05T12:42:50+00:00 ― 5 min read

Combinatorics The Intricacies of Tripartite Graphs

Uncovering connections and structures in tripartite graphs and the Zarankiewicz problem.

Francesco Di Braccio, Freddie Illingworth

2025-04-05T10:03:00+00:00 ― 5 min read

Combinatorics Understanding Digraphs: Paths and Structures

Discover how digraphs shape connections and structures in mathematics.

Matthias Hamann, Karl Heuer

2025-04-04T20:43:50+00:00 ― 4 min read

Combinatorics The Colorful World of Alternating Sign Matrices

Explore the vibrant interplay of matrices and patterns in mathematics.

Sara Billey, Matjaž Konvalinka

2025-04-04T12:44:20+00:00 ― 5 min read

Probability The Dimer Model: Organizing Chaos in Mathematics

Learn how the dimer model helps organize complex pairings in graphs.

Christina Meng

2025-04-02T04:47:50+00:00 ― 6 min read

Probability The Intriguing World of Graph Theory

Discover the dynamics of random graphs and the Karp-Sipser algorithm.

Thomas Budzinski, Alice Contat

2025-04-01T10:09:00+00:00 ― 6 min read

Combinatorics Order in Chaos: The World of Plane Partitions

Discover how mathematicians find order in arrangements of numbers.

Jingxuan Li, Feihu Liu, Guoce Xin

2025-03-31T23:29:40+00:00 ― 7 min read

Combinatorics Understanding Condorcet Domains in Decision-Making

Learn how Condorcet domains simplify choices in elections and group decisions.

Arkadii Slinko

2025-03-30T18:11:30+00:00 ― 7 min read

Combinatorics Coloring the Connections: Edge Coloring in Graphs

Discover the role of edge coloring in understanding graphs and relationships.

Yuping Gao, Songling Shan, Guanghui Wang

2025-03-30T12:51:50+00:00 ― 4 min read

Combinatorics The Fascinating World of Algebraic Combinatorics

Discover the joy of combining algebra and combinatorics in mathematics.

Florent Hivert

2025-03-29T15:33:10+00:00 ― 6 min read

Combinatorics Navigating Unsplittable Multiflow Networks

Learn how unsplittable multiflows efficiently route demands in networks.

Mohammed Majthoub Almoghrabi, Martin Skutella, Philipp Warode

2025-03-28T18:14:30+00:00 ― 6 min read

Combinatorics Maximal Planar Graphs and Their Secrets

Discover the fascinating world of maximal planar graphs and their saturation properties.

Alexander Clifton, Dániel G. Simon

2025-03-27T02:17:00+00:00 ― 6 min read

Combinatorics The Fascinating World of Transversals

Discover the rules and beauty behind transversals in combinatorial design.

Michael Anastos, Patrick Morris

2025-03-26T04:58:20+00:00 ― 6 min read

Combinatorics The Fascinating World of Permutation Clones

Discover the intricate structures and possibilities of permutation clones in mathematics.

Tim Boykett

2025-03-25T18:19:00+00:00 ― 5 min read

Combinatorics The Intriguing World of Forcing Numbers

Discover how forcing numbers reveal stability in graphs and structures.

Qianqian Liu, Yaxian Zhang, Heping Zhang

2025-03-22T15:43:40+00:00 ― 5 min read

Quantum Physics Graph States: The Key to Quantum Computing

Discover the importance of graph states in quantum computing.

Soumik Ghosh, Dominik Hangleiter, Jonas Helsen

2025-03-22T00:33:10+00:00 ― 6 min read

Combinatorics Friendship Math: Managing Connections

Discover how math helps us understand friendships and social interactions.

Ting-Wei Chao, Hung-Hsun Hans Yu

2025-03-21T21:04:50+00:00 ― 6 min read

Commutative Algebra The Intriguing Dance of Algebra and Graphs

Discover the fascinating world of Artinian algebras and tadpole graphs.

Phan Minh Hung, Nguyen Duy Phuoc, Tran Nguyen Thanh Son

2025-03-21T15:45:10+00:00 ― 6 min read

Combinatorics The Exciting World of Parking Functions

Discover the fun behind parking functions and their surprising probabilities.

Steve Butler, Kimberly Hadaway, Victoria Lenius

2025-03-21T02:26:00+00:00 ― 5 min read

Combinatorics Gambler's Ruin: The Game of Odds

Discover the thrilling world of probability in gambling and its mathematical roots.

Lucy Martinez

2025-03-20T18:26:30+00:00 ― 6 min read