Explore the unique structures and operations of lattice knots in geometry and algebra.
Sasha Anan'in, Alexandre Grishkov, Dmitrii Korshunov
― 6 min read
Mathematics - Combinatorics
RSSInvestigating the existence and features of strongly regular graphs.
Reimbay Reimbayev
― 4 min read
An exploration of polynomial functions and their significance in non-commutative rings.
Amr Ali Abdulkader Al-Maktry, Susan F. El-Deken
― 5 min read
Explore the role of backbone coloring in optimizing network communications.
Krzysztof Michalik, Krzysztof Turowski
― 6 min read
Research expands Cohen's theorem to approximate spectral norms in Boolean functions.
Tsun-Ming Cheung, Hamed Hatami, Rosie Zhao
― 5 min read
A look into varieties, stratifications, and monomial theories explained simply.
Henrik Müller
― 3 min read
An analysis of bicoset digraphs and their symmetry-related properties.
Rachel Barber, Ted Dobson, Gregory Robson
― 5 min read
An overview of weighted walks and their implications in various fields.
Pierre Bonnet, Charlotte Hardouin
― 5 min read
A look into minimum spanning trees and their significance in various fields.
Afrouz Jabal Ameli, Faezeh Motiei, Morteza Saghafian
― 6 min read
Explore the relationships between graph theory and geometric figures.
Feihu Liu
― 4 min read
An overview of sandpile models and their role in studying complex systems.
Thomas Selig, Haoyue Zhu
― 5 min read
Exploring the complexities of colouring directed graphs on various surfaces.
Alexander Clow
― 5 min read
A look into trees and their properties in mathematics.
Foster Tom
― 5 min read
Research uncovers new higher-dimensional examples in lattice theory.
Charlotte Aten
― 5 min read
This study examines the relationship between constant link graphs and induced Turán numbers.
Yair Caro, Adriana Hansberg, Zsolt Tuza
― 6 min read
Analyzing generating functions for paths in a grid's first quadrant.
Thomas Dreyfus, Andrew Elvey Price, Kilian Raschel
― 4 min read
A new approach to graph homomorphisms sheds light on complex problems.
Sebastian Meyer, Jakub Opršal
― 5 min read
An overview of chromatic polynomials and their significance in graph theory.
Paula M. S. Fialho, Emanuel Juliano, Aldo Procacci
― 4 min read
Cyclic subgroup graphs reveal important relationships between cyclic subgroups in mathematics.
Khyati Sharma, A. Satyanarayana Reddy
― 5 min read
A study on how homogeneous sets and distinct degrees relate in graphs.
Eoin Long, Laurentiu Ploscaru
― 6 min read
A fresh look at knot and link properties through determinants and Fourier-Hadamard transforms.
Baptiste Gros, Ulises Pastor, Jorge Ramirez Alfonsin
― 6 min read
A look into compliant graphs and their significance in various fields.
Kavya R. Nair, M. S. Sunitha
― 6 min read
A look into the shuffle-cube design and its cyclic properties.
Yasong Liu, Huazhong Lü
― 5 min read
New methods improve understanding of hypercube domination numbers across dimensions.
Zachary DeVivo, Robert K. Hladky
― 6 min read
Explore the relationships between digraphs, multipaths, and matroids.
Luigi Caputi, Carlo Collari, Sabino Di Trani
― 4 min read
Explore the relationship between minimum degree and connectivity in graph theory.
Sahar Diskin, Anna Geisler
― 4 min read
Explore how CCCs enhance signal processing and data transmission across various fields.
Palash Sarkar, Chunlei Li, Sudhan Majhi
― 5 min read
This article explores independent sets in trees and hypertrees, including patterns and properties.
David Galvin, Courtney Sharpe
― 5 min read
A look at edge-coloring and its role in rainbow-saturated graphs.
Dustin Baker, Enrique Gomez-Leos, Anastasia Halfpap
― 3 min read
A clear guide to scattering diagrams, gradings, and positivity in combinatorics.
Amanda Burcroff, Kyungyong Lee, Lang Mou
― 7 min read
Explore the links between zonotopes, graphs, and their properties.
Eleonore Bach, Matthias Beck, Sophie Rehberg
― 6 min read
Examining relationships and properties of graphs through extremal combinatorics.
Alexey Pokrovskiy
― 6 min read
Explore the key concepts, properties, and applications of graphs and trees in various fields.
Alexey Pokrovskiy
― 4 min read
Learn how to dissect lattice polygons into triangles with an area of one.
Aaron Abrams, Jamie Pommersheim
― 5 min read
This article examines the unique properties of locally linear graphs and their relationships.
Reimbay Reimbayev
― 5 min read
A look at the properties and applications of generalized numerical semigroups.
Carmelo Cisto, Gioia Failla, Francesco Navarra
― 5 min read
A look into perfect matchings and the role of bricks in graph theory.
Fuliang Lu, Huali Pan
― 5 min read
Research focuses on periodic behavior in grid-based color arrangements.
Pyry Herva, Jarkko Kari
― 6 min read
Exploring stable class functions and their applications in representation theory and beyond.
Danielle Ernst-West, Doron Puder, Yotam Shomroni
― 5 min read
This study examines the Minimal Feedback Arc Set problem in random directed graphs.
Harvey Diamond, Mark Kon, Louise Raphael
― 6 min read