Combinatorics

Combinatorics Guarding Graphs: Roman Domination Explained

Discover how graph theory concepts relate to strategy and efficiency.

Ravindra Kumar, Om Prakash

2025-03-20T10:27:00+00:00 ― 6 min read

Probability The Hidden World of Random Trees

Discover the fascinating dynamics of random trees and their crucial role in evolution.

David J. Aldous, Svante Janson

2025-03-17T10:31:30+00:00 ― 7 min read

Combinatorics The Art and Science of Spherical Tilings

Explore the intriguing patterns of pentagonal tilings on spheres.

Junjie Shu, Yixi Liao, Erxiao Wang

2025-03-15T21:13:50+00:00 ― 6 min read

Combinatorics Decoding Minimal Automorphic Posets of Width Three

A journey through the fascinating world of posets and their structures.

Frank a Campo

2025-03-15T13:14:20+00:00 ― 7 min read

Combinatorics The Secrets of Edge-Graceful Labeling in Graphs

Discover the fascinating world of edge-graceful labeling in graph theory.

Aaron D. C. Angel, John Rafael M. Antalan, John Loureynz F. Gamurot

2025-03-15T07:54:40+00:00 ― 5 min read

Combinatorics The Intricacies of Graphical Arrangements

Discover the fascinating links between graphical arrangements and chromatic polynomials.

Tongyu Nian, Shuhei Tsujie, Ryo Uchiumi

2025-03-15T02:35:00+00:00 ― 5 min read

Combinatorics The Quest for Hamiltonian Paths in Graphs

Dive into the fascinating world of Hamiltonian paths and cycles in graph theory.

Florian Lehner, Farzad Maghsoudi, Babak Miraftab

2025-03-14T13:15:50+00:00 ― 5 min read

Spectral Theory The Secrets of Regular Graphs Revealed

Uncovering the intriguing eigenvalues and spectral edges of regular graphs.

Dingding Dong, Theo McKenzie

2025-03-12T18:38:30+00:00 ― 6 min read

Combinatorics The Intriguing World of Random Turan Problems

Discover the complex connections in random Turan problems and hypergraphs.

Jiaxi Nie, Sam Spiro

2025-03-12T13:18:50+00:00 ― 6 min read

Combinatorics The Hidden World of Coxeter Groups

Explore the fascinating realm of Coxeter groups and their role in mathematics.

Christophe Hohlweg, Viviane Pons

2025-03-12T05:19:20+00:00 ― 6 min read

Combinatorics Unlocking the Secrets of Symmetric Designs

Discover the fascinating world of symmetric designs and their higher-dimensional counterparts.

Vedran Krčadinac, Mario Osvin Pavčević

2025-03-11T13:20:20+00:00 ― 5 min read

Combinatorics Z-Related Sets: Chords That Connect

Discover how different chords relate through musical intervals and structures.

William Q. Erickson, Nicholas B. Jones

2025-03-11T08:00:40+00:00 ― 5 min read

Combinatorics The Intricacies of Digraphs and Symmetric Functions

Explore the deep connections between digraphs and symmetric functions in mathematics.

John Irving, Mohamed Omar

2025-03-09T16:03:10+00:00 ― 7 min read

Combinatorics The Intricacies of Higher Bruhat Orders

Explore a fascinating area of mathematics connecting sets and relationships.

Herman Chau

2025-03-09T13:23:20+00:00 ― 6 min read

Combinatorics The Intricacies of Trees and T-Fractions

Discover how trees and T-fractions reveal complex mathematical relationships.

Veronica Bitonti, Bishal Deb, Alan D. Sokal

2025-03-09T00:04:10+00:00 ― 6 min read

Combinatorics Balancing Connections: The Zarankiewicz Challenge

A look into the Unbalanced Zarankiewicz problem in graph theory.

Lili Ködmön, Anqi Li, Ji Zeng

2025-03-08T21:24:20+00:00 ― 6 min read

Combinatorics The Fascinating World of Quasi-Orthogonal Matrices

Discover the intriguing properties and applications of quasi-orthogonal matrices.

Abderrahim Boussaïri, Brahim Chergui, Zaineb Sarir

2025-03-08T18:44:30+00:00 ― 5 min read

Combinatorics The Dance of Graph Theory and Stability

Exploring how dance parties reflect stable sets in graph theory.

Koji Matsushita, Akiyoshi Tsuchiya

2025-03-08T16:04:40+00:00 ― 6 min read

Combinatorics The Symmetry of Mathematical Functions

Discover the magic of symmetric functions and their connections.

Aritra Bhattacharya

2025-03-08T13:24:50+00:00 ― 6 min read

Optimization and Control New Method Boosts Solving of MWIS Problem

A fresh approach enhances efficiency in tackling Maximum Weight Independent Set challenges.

Ernestine Großmann, Kenneth Langedal, Christian Schulz

2025-03-07T18:46:00+00:00 ― 5 min read

Combinatorics The Colorful World of Quasisymmetric Functions

Discover the impact of colors on quasisymmetric functions in mathematics.

Spencer Daugherty

2025-03-07T10:46:30+00:00 ― 7 min read

Combinatorics Connecting Dots: The Magic of Chebyshev Polynomials and Fan Graphs

Discover how Chebyshev polynomials and fan graphs reveal hidden connections in math.

Wojciech Młotkowski, Nobuaki Obata

2025-03-06T10:48:00+00:00 ― 6 min read

Combinatorics The Intriguing World of Finite Groups

Discover how small doubling sets affect Fourier coefficients in mathematics.

Ilya D. Shkredov

2025-03-05T10:49:30+00:00 ― 5 min read

Combinatorics Counting Diagonalizable Matrices in Finite Fields

Discover how to count diagonalizable matrices using finite fields and graph theory.

Catherine Falvey, Heewon Hah, William Sheppard

2025-03-05T08:09:40+00:00 ― 6 min read

Logic The Importance of Regularity Lemmas in Mathematics

Discover how regularity lemmas simplify complex structures in mathematics.

Anand Pillay, Atticus Stonestrom

2025-03-04T05:31:20+00:00 ― 6 min read

Combinatorics The Mystery of Unit-Distance Graphs

Discover the quest to maximize connections in unit-distance graphs.

Boris Alexeev, Dustin G. Mixon, Hans Parshall

2025-03-01T18:55:00+00:00 ― 5 min read

Combinatorics The Quest to Maximize Set Systems

Researchers tackle the complexity of set systems and VC-dimension limits.

Gennian Ge, Zixiang Xu, Chi Hoi Yip

2025-03-01T16:15:10+00:00 ― 6 min read

Combinatorics The Intriguing World of Random Graphs

Discover how random graphs shape our understanding of connections and rigidity.

Yuval Peled, Niv Peleg

2025-02-26T21:39:20+00:00 ― 7 min read

Combinatorics Spreading Secrets: The Art of Graph Burning

Discover how information spreads through networks using graph burning techniques.

Danielle Cox, M. E. Messinger, Kerry Ojakian

2025-02-26T11:00:00+00:00 ― 6 min read

Algebraic Geometry Curves and Varieties: The Beauty of Geometry

Exploring rational normal curves and the ABCT variety in mathematics.

Daniele Agostini, Lakshmi Ramesh, Dawei Shen

2025-02-26T01:45:38+00:00 ― 8 min read

Algebraic Geometry Exploring the Depths of Moduli Spaces

A glimpse into the fascinating worlds of curves and their structures.

Siddarth Kannan, Terry Dekun Song

2025-02-26T00:10:06+00:00 ― 7 min read

Combinatorics The Fascinating World of Self-Avoiding Polygons

Discover the intriguing patterns of self-avoiding polygons on lattice grids.

Jean Fromentin, Pierre-Louis Giscard, Yohan Hosten

2025-02-25T16:21:10+00:00 ― 8 min read

Combinatorics Unraveling the World of Directed Graphs

Discover the fascinating structures of rooted arborescences and covering graphs.

Muchen Ju, Junjie Ni, Kaixin Wang

2025-02-25T13:41:20+00:00 ― 5 min read

Data Structures and Algorithms Dynamic Graphs: Balancing Stability and Approximation

A deep dive into dynamic graphs and algorithms for managing sets.

Mark de Berg, Arpan Sadhukhan, Frits Spieksma

2025-02-25T03:02:00+00:00 ― 6 min read

Probability The Exciting World of Random Walks

Discover how random walks work in graphs and their real-life applications.

Sam Olesker-Taylor, Thomas Sauerwald, John Sylvester

2025-02-25T00:22:10+00:00 ― 6 min read

Combinatorics Exploring the World of Q-Matroids

A look into the fascinating structures of q-matroids and their properties.

Gianira N. Alfarano, Eimear Byrne, Andrew Fulcher

2025-02-24T16:22:40+00:00 ― 6 min read

Discrete Mathematics Mastering Mixed Linear Layouts in Graphs

Learn how to organize graph connections using stacks, queues, and thick patterns.

Deborah Haun, Laura Merker, Sergey Pupyrev

2025-02-24T03:03:30+00:00 ― 4 min read

Analysis of PDEs Connecting Kinetic and Graph Theories

Exploring the links between particle behavior and network relationships.

Datong Zhou

2025-02-23T16:24:10+00:00 ― 6 min read

Combinatorics The Secrets of Graph Rigidity Uncovered

Discover the fascinating world of graph rigidity and its implications.

Michael Krivelevich, Alan Lew, Peleg Michaeli

2025-02-23T08:24:40+00:00 ― 7 min read

Combinatorics Discovering Growth Bijections in Math

Explore the relationships between structures through growth bijections and their fascinating applications.

Jérémie Bettinelli, Éric Fusy, Baptiste Louf

2025-02-22T21:45:20+00:00 ― 5 min read

Mathematics - Combinatorics