Mathematics - Combinatorics

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Combinatorics Understanding Green-Sanders Examples in Math

A look into the arithmetic regularity lemma and its limits.

V. Gladkova

2025-05-23T15:01:28+00:00 ― 6 min read

Latest Articles

Combinatorics Connecting Shapes: The Role of Transversals

Discover the importance of transversals in geometry and their links with convex sets.

Daniel McGinnis, Nikola Sadovek

2025-05-21T20:27:45+00:00 ― 5 min read

Combinatorics An Insight into Hypergraphs and Their Structures

Discover the intricate world of hypergraphs and their properties through unified matrices.

R. Vishnupriya, R. Rajkumar

2025-05-21T19:44:28+00:00 ― 6 min read

Combinatorics Connecting Groups: The Science of Hypergraphs

Learn about hypergraphs and how they help organize connections between different groups.

Xizhi Liu, Sijie Ren, Jian Wang

2025-05-21T16:51:20+00:00 ― 6 min read

Combinatorics Fractal Cubic Networks: The Future of Connectivity

Discover how fractal cubic networks improve computer communication.

S. Prabhu, A. K. Arulmozhi, M. Arulperumjothi

2025-05-21T10:21:47+00:00 ― 6 min read

Combinatorics Matroids and Group-Label Constraints in Combinatorial Optimization

Exploring matroids, group-label constraints, and their real-life applications.

Dániel Garamvölgyi, Ryuhei Mizutani, Taihei Oki

2025-05-21T07:28:39+00:00 ― 4 min read

Statistics Theory Understanding Community Detection with the Bethe-Hessian Matrix

A look at how the Bethe-Hessian matrix aids in community detection.

Ludovic Stephan, Yizhe Zhu

2025-05-21T03:08:58+00:00 ― 6 min read

Formal Languages and Automata Theory Patterns and Languages in Computer Science

A look into the complexities of patterns and languages.

Dirk Nowotka, Max Wiedenhöft

2025-05-21T01:42:23+00:00 ― 7 min read

Information Theory Revolutionizing Data Storage with DNA Codes

A look into using DNA for efficient data storage and retrieval.

Anina Gruica, Maria Montanucci, Ferdinando Zullo

2025-05-20T08:11:48+00:00 ― 7 min read

Information Theory Understanding Permutation Codes and Their Importance

Learn how permutation codes improve digital communication despite missing letters.

Minhan Gao, Kenneth W. Shum

2025-05-20T02:35:32+00:00 ― 5 min read

Probability The Social Dynamics of Dinner Parties

Explore how seating arrangements affect conversation and social interactions.

Kenny Peng

2025-05-19T23:47:24+00:00 ― 6 min read

Combinatorics Understanding Graphs and Their Connections

Explore how graphs illustrate relationships and simplify complex connections.

Frederico Cançado, Gabriel Coutinho

2025-05-19T20:59:16+00:00 ― 5 min read

Logic Borel Graphs: Unpacking a Mathematical Structure

Discover the fascinating world of Borel graphs and their complexities.

Jan Grebík, Cecelia Higgins

2025-05-19T09:46:44+00:00 ― 5 min read

Combinatorics Understanding Convex Sets and Their Mysteries

A fun look into convex sets and their intriguing properties.

Jean-François Marckert, Ludovic Morin

2025-05-18T19:46:04+00:00 ― 6 min read

Artificial Intelligence The Optimist and Pessimist: A New Way to Study Graphs

Learn how two programs improve graph theory research through collaboration.

Randy Davila

2025-05-18T15:33:52+00:00 ― 7 min read

Combinatorics Understanding Plane Partitions: Stacks of Numbers

Explore the fascinating world of organizing numbers into two-dimensional shapes.

Cruz Godar, Benjamin Young

2025-05-17T21:21:00+00:00 ― 5 min read

Number Theory Counting Words and Their Patterns

An exploration of word counting techniques and their fascinating connections.

Pranjal Jain, Shuo Li

2025-05-17T14:20:40+00:00 ― 6 min read

Combinatorics Graphs, Parties, and Perfect Matchings

Discover the fun dynamics of prism graphs and their perfect matchings!

Francesco Colangelo, Federico Romaniello

2025-05-17T11:32:32+00:00 ― 4 min read

Combinatorics The Hidden Patterns of Ramsey Theory

Ramsey theory reveals order in chaos through familiar examples and real-world applications.

Yuval Wigderson

2025-05-16T18:43:44+00:00 ― 6 min read

Algebraic Geometry An Introduction to Tropical Geometry

Discover the vibrant world of tropical geometry and its unique concepts.

Andrew R. Tawfeek

2025-05-15T17:30:32+00:00 ― 7 min read

Algebraic Geometry An Insight into Chevalley Polytopes

Explore Chevalley polytopes and their mathematical relationships in geometry.

Peter Spacek, Charles Wang

2025-05-15T09:06:08+00:00 ― 6 min read

Combinatorics Puzzles and Patterns in Graph Theory

Explore the colorful challenges of graph theory and friendships.

János Barát, Stijn Cambie, Geňa Hahn

2025-05-15T03:29:52+00:00 ― 6 min read

Probability Connecting Mathematics and Physics: Key Concepts

Explore vital mathematical ideas shaping our understanding of the universe.

Jacopo Borga, Sky Cao, Jasper Shogren-Knaak

2025-05-15T00:23:32+00:00 ― 8 min read

Combinatorics Understanding Graphs: Special Numbers Explained

Explore the significance of Helly number, Radon number, and rank in graph theory.

Bijo S Anand, Arun Anil, Manoj Changat

2025-05-14T12:05:08+00:00 ― 5 min read

Algebraic Geometry Understanding Wronski Pairs and Their Applications

Learn about Wronski pairs, their real solutions, and their importance in various fields.

Laura Casabella, Michael Joswig, Rafael Mohr

2025-05-14T10:41:04+00:00 ― 6 min read

Combinatorics The Art of Sorting: Stacks and Patterns

Sorting toys reveals surprising patterns and rules in organization.

Hansen Shieh, Michael Yang, Ashley Yu

2025-05-13T22:04:28+00:00 ― 5 min read

Combinatorics Understanding Rational Polygons: Points and Shapes

A look into the world of rational polygons and their characteristics.

Martin Bohnert, Justus Springer

2025-05-13T17:52:16+00:00 ― 6 min read

Populations and Evolution Phylogenetic Networks: Connecting the Dots of Evolution

An overview of phylogenetic networks and their role in understanding species evolution.

Alexey Markin, Sriram Vijendran, Oliver Eulenstein

2025-05-13T09:00:36+00:00 ― 6 min read

Combinatorics Understanding Friendships Through Simplicial and Clique Complexes

Learn how simplicial and clique complexes relate to friendships and shapes.

Kassahun H Betre, Yan X Zhang, Carter Edmond

2025-05-11T14:01:48+00:00 ― 5 min read

Combinatorics Induced Even Cycles in Sparse Graphs

Exploring the presence of even cycles in sparse graphs through new research.

Laihao Ding, Jun Gao, Hong Liu

2025-05-11T08:25:32+00:00 ― 6 min read

Combinatorics The Role of Graphs in Everyday Life

Graphs connect our world, revealing important patterns and relationships.

Anjitha Ashokan, Chithra A

2025-05-11T05:37:24+00:00 ― 4 min read

Combinatorics The Quest for Larger Sidon Sets

Mathematicians seek to expand unique number collections called Sidon sets.

Ingo Czerwinski, Alexander Pott

2025-05-10T14:12:40+00:00 ― 8 min read

Combinatorics Coloring Triangles in Graph Theory

Discover the fun world of graph coloring with triangles.

Ayush Basu, Vojtěch Rödl, Marcelo Sales

2025-05-09T15:47:36+00:00 ― 5 min read

Combinatorics Understanding Cospectral Graphons and Their Connections

Exploring the relationships between graphons and their unique traits.

Jan Hladký, Daniel Iľkovič, Jared León

2025-05-09T10:11:20+00:00 ― 6 min read

Combinatorics Understanding Interval Posets and Their Geometric Connections

Explore the organization of intervals through geometric representation and relationships.

Eli Bagno, Estrella Eisenberg, Shulamit Reches

2025-05-09T07:23:12+00:00 ― 7 min read

Number Theory The Curious Case of the Erdős-Moser Equation

A look into the challenges of solving the Erdős-Moser equation.

Guillaume Lambard

2025-05-09T05:59:08+00:00 ― 6 min read

Combinatorics Graphs and Their Connections Explained

A simple look at graphs, geodetic sets, and their connections.

Bishal Sonar, Satyam Guragain, Ravi Srivastava

2025-05-09T04:35:04+00:00 ― 5 min read

Combinatorics The Geometry of Points and Lines

Exploring how points on curves interact and form lines.

Yifan Jing, Tingxiang Zou

2025-05-09T03:11:00+00:00 ― 6 min read

Data Structures and Algorithms Understanding Circular-Arc Graphs and Their Challenges

A look into the complexities and issues of circular-arc graphs.

Tomasz Krawczyk

2025-05-09T01:46:56+00:00 ― 6 min read

Information Theory Communicating Through Noise: The Role of Coding Theory

Learn how coding theory helps transmit messages reliably over noisy channels.

Emmanuel Abbe, Colin Sandon, Vladyslav Shashkov

2025-05-09T00:22:52+00:00 ― 5 min read

Combinatorics Understanding the Intricacies of Graphs

A look into graphs, their structures, and what they reveal about connections.

John Byrne

2025-05-08T15:58:28+00:00 ― 5 min read