portada Star-Critical Ramsey Numbers for Graphs (en Inglés)

Star-Critical Ramsey Numbers for Graphs (en Inglés)

Formato

Libro Físico

Autor

Mark R. Budden

Editorial

Springer

Idioma

Inglés

N° páginas

Encuadernación

Tapa Blanda

Dimensiones

23.4x15.6x0.6 cm

Peso

0.16 kg.

ISBN13

9783031299803

Categorías

Matemáticas discretas
Combinatoria y teoría de grafos

Star-Critical Ramsey Numbers for Graphs (en Inglés)

Mark R. Budden (Autor) · Springer · Tapa Blanda

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Reseña del libro "Star-Critical Ramsey Numbers for Graphs (en Inglés)"

This text is a comprehensive survey of the literature surrounding star-critical Ramsey numbers. First defined by Jonelle Hook in her 2010 dissertation, these numbers aim to measure the sharpness of the corresponding Ramsey numbers by determining the minimum number of edges needed to be added to a critical graph for the Ramsey property to hold. Despite being in its infancy, the topic has gained significant attention among Ramsey theorists.This work provides researchers and students with a resource for studying known results and their complete proofs. It covers typical results, including multicolor star-critical Ramsey numbers for complete graphs, trees, cycles, wheels, and n-good graphs, among others. The proofs are streamlined and, in some cases, simplified, with a few new results included. The book also explores the connection between star-critical Ramsey numbers and deleted edge numbers, which focus on destroying the Ramsey property by removing edges.The book concludes with open problems and conjectures for researchers to consider, making it a valuable resource for those studying the field of star-critical Ramsey numbers.