Star-Critical Ramsey Numbers for Graphs / / by Mark R. Budden
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| Autore: |
Budden Mark R.
|
| Titolo: |
Star-Critical Ramsey Numbers for Graphs / / by Mark R. Budden
|
| Pubblicazione: | Cham : , : Springer International Publishing : , : Imprint : Springer, , 2023 |
| Edizione: | 1st ed. 2023. |
| Descrizione fisica: | 1 online resource (102 pages) |
| Disciplina: | 511.5 |
| Soggetto topico: | Graph theory |
| Graph Theory | |
| Teoria de Ramsey | |
| Teoria de grafs | |
| Soggetto genere / forma: | Llibres electrònics |
| Soggetto non controllato: | Mathematics |
| Nota di bibliografia: | Includes bibliographical references and index. |
| Nota di contenuto: | 1. Multi Star-Critical Ramsey Numbers -- 2. Non-Complete Graphs -- 3. Generalizations of Star-Critical Ramsey Numbers -- 4. Open Problems. |
| Sommario/riassunto: | 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. |
| Titolo autorizzato: | Star-Critical Ramsey Numbers for Graphs |
| ISBN: | 9783031299810 |
| 9783031299803 | |
| Formato: | Materiale a stampa  |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione: | Inglese |
| Record Nr.: | 9910725088203321 |
| Lo trovi qui: | Univ. Federico II |
| Opac: | Controlla la disponibilità qui |
Serie:
SpringerBriefs in Mathematics, . 2191-8201