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Equating κ Maximum Degrees in Graphs without Short Cycles

For an integer k at least 2, and a graph G, let fk(G) be the minimum cardinality of a set X of vertices of G such that G − X has either k vertices of maximum degree or order less than k. Caro and Yuster [Discrete Mathematics 310 (2010) 742–747] conjectured that, for every k, there is a constant ck s...

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Bibliografische Detailangaben
Hauptverfasser: Fürst Maximilian, Gentner Michael, Jäger Simon, Rautenbach Dieter, Henning Michael A.
Format: Artigo
Sprache:Inglês
Veröffentlicht: University of Zielona Góra 2020-08-01
Schriftenreihe:Discussiones Mathematicae Graph Theory
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Online-Zugang:https://doi.org/10.7151/dmgt.2152
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