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010   $a9783031299810$b(electronic bk.)
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024 7 $a10.1007/978-3-031-29981-0
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035   $a(Au-PeEL)EBL7248879
035   $a(OCoLC)1379438632
035   $a(DE-He213)978-3-031-29981-0
035   $a(BIP)089067634
035   $a(PPN)270614567
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101 0 $aeng
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181   $ctxt$2rdacontent
182   $cc$2rdamedia
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200 10$aStar-Critical Ramsey Numbers for Graphs /$fby Mark R. Budden
205   $a1st ed. 2023.
210  1$aCham :$cSpringer International Publishing :$cImprint: Springer,$d2023.
215   $a1 online resource (102 pages)
225 1 $aSpringerBriefs in Mathematics,$x2191-8201
311 08$aPrint version: Budden, Mark R. Star-Critical Ramsey Numbers for Graphs Cham : Springer International Publishing AG,c2023 9783031299803 
320   $aIncludes bibliographical references and index.
327   $a1. Multi Star-Critical Ramsey Numbers -- 2. Non-Complete Graphs -- 3. Generalizations of Star-Critical Ramsey Numbers -- 4. Open Problems.
330   $aThis text is a comprehensive survey of the literature surrounding star-critical Ramsey numbers. First defined by Jonelle Hook in her 2010 dissertation, these numbers aim to measure the sharpness of the corresponding Ramsey numbers by determining the minimum number of edges needed to be added to a critical graph for the Ramsey property to hold. Despite being in its infancy, the topic has gained significant attention among Ramsey theorists. This work provides researchers and students with a resource for studying known results and their complete proofs. It covers typical results, including multicolor star-critical Ramsey numbers for complete graphs, trees, cycles, wheels, and n-good graphs, among others. The proofs are streamlined and, in some cases, simplified, with a few new results included. The book also explores the connection between star-critical Ramsey numbers and deleted edge numbers, which focus on destroying the Ramsey property by removing edges. The book concludes with open problems and conjectures for researchers to consider, making it a valuable resource for those studying the field of star-critical Ramsey numbers.
410  0$aSpringerBriefs in Mathematics,$x2191-8201
606   $aGraph theory
606   $aGraph Theory
606   $aTeoria de Ramsey$2thub
606   $aTeoria de grafs$2thub
608   $aLlibres electrònics$2thub
610   $aMathematics
615  0$aGraph theory.
615 14$aGraph Theory.
615  7$aTeoria de Ramsey
615  7$aTeoria de grafs
676   $a511.5
700   $aBudden$b Mark R.$01358337
801  0$bMiAaPQ
801  1$bMiAaPQ
801  2$bMiAaPQ
912   $a9910725088203321
996   $aStar-Critical Ramsey Numbers for Graphs$93367524
997   $aUNINA