书目

图论·第2版(英文版)

内容简介

Almosttwodecadeshavepassedsincetheappearanceofthosegraphtheorytextsthatstillsettheagendaformostintroductorycoursestaughttoday.Thecanoncreatedbythosebookshashelpedtoidentifysomemainfieldsofstudyandresearch,andwilldoubtlesscontinuetoinfluencethedevelopmentOfthedisciplineforsometimetocome.Yetmuchhashappenedinthose20years,ingraphtheorynolessthanelsewhere:deepnewtheoremshavebeenfound,seeminglydisparatemethodsandresultshavebecomeinterrelated,entirenewbrancheshavearisen.Tonamejustafewsuchdevelopments,onemaythinkofhowthenewnotionoflistcolouringhasbridgedthegulfbetweeninvariantssuchasaveragedegreeandchromaticnumber,howprobabilisticmethodsandtheregularitylemmahavepervadedextremaigraphtheoryandRamseytheory,orhowtheentirelynewfieldofgraphminorsandtree-decompositionshasbroughtstandardmethodsofsurfacetopologytobearonlong-standingalgorithmicgraphproblems.

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