| 书目名称 | Star-Critical Ramsey Numbers for Graphs | | 编辑 | Mark R. Budden | | 视频video | | | 概述 | Contains a list of open problems.Includes all currently known results on star-critical Ramsey numbers.Streamlines and simplifies proofs from their original sources | | 丛书名称 | SpringerBriefs in Mathematics | | 图书封面 |  | | 描述 | .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.. | | 出版日期 | Book 2023 | | 关键词 | Ramsey numbers; edge-colorings; critical graphs; deleted edge numbers | | 版次 | 1 | | doi | https://doi.org/10.1007/978-3-031-29981-0 | | isbn_softcover | 978-3-031-29980-3 | | isbn_ebook | 978-3-031-29981-0Series ISSN 2191-8198 Series E-ISSN 2191-8201 | | issn_series | 2191-8198 | | copyright | The Editor(s) (if applicable) and The Author(s), under exclusive license to Springer Nature Switzerl |
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发表于 2025-3-21 19:05:42
