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Almosttwodecadeshepassedsincetheappearanceofthosegraphtheorytextsthatstillsettheagendaformostintroductorycoursestaughttoday.Thecanoncreatedbythosebookshashelpedtoidentifysomemainfieldsofstudyandresearch-andwilldoubtlesscontinuetoinfluencethedevelopmentOfthedisciplineforsometimetocome.Yetmuchhashappenedinthose20years-ingraphtheorynolessthanelsewhere-deepnewtheoremshebeenfound-seeminglydisparatemethodsandresultshebecomeinterrelated-entirenewbrancheshearisen.Tonamejustafewsuchdevelopments-onemaythinkofhowthenewnotionoflistcolouringhasbridgedthegulfbetweeninvariantssuchaseragedegreeandchromaticnumber-howprobabilisticmethodsandtheregularitylemmahepervadedextremaigraphtheoryandRamseytheory-orhowtheentirelynewfieldofgraphminorsandtree-decompositionshasbroughtstandardmethodsofsurfacetopologytobearonlong-standingalgorithmicgraphproblems.
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Almosttwodecadeshepassedsincetheappearanceofthosegraphtheorytextsthatstillsettheagendaformostintroductorycoursestaughttoday.Thecanoncreatedbythosebookshashelpedtoidentifysomemainfieldsofstudyandresearch-andwilldoubtlesscontinuetoinfluencethedevelopmentOfthedisciplineforsometimetocome.Yetmuchhashappenedinthose20years-ingraphtheorynolessthanelsewhere-deepnewtheoremshebeenfound-seeminglydisparatemethodsandresultshebecomeinterrelated-entirenewbrancheshearisen.Tonamejustafewsuchdevelopments-onemaythinkofhowthenewnotionoflistcolouringhasbridgedthegulfbetweeninvariantssuchaseragedegreeandchromaticnumber-howprobabilisticmethodsandtheregularitylemmahepervadedextremaigraphtheoryandRamseytheory-orhowtheentirelynewfieldofgraphminorsandtree-decompositionshasbroughtstandardmethodsofsurfacetopologytobearonlong-standingalgorithmicgraphproblems.
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