A dichotomy for graphs of bounded degeneracy

We prove that the degeneracy of graphs in a hereditary class defined by a finite set S of forbidden induced subgraphs is bounded if and only if S includes a complete graph, a complete bipartite graph and a forest.

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Bibliographic Details
Published inarXiv.org
Main Authors Atminas, A, Lozin, V
Format Paper
LanguageEnglish
Published Ithaca Cornell University Library, arXiv.org 18.06.2022
Subjects
Graph theory
Graphs
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Summary:We prove that the degeneracy of graphs in a hereditary class defined by a finite set S of forbidden induced subgraphs is bounded if and only if S includes a complete graph, a complete bipartite graph and a forest.
ISSN:2331-8422