A dichotomy for graphs of bounded degeneracy

• Published in: arXiv.org
• Main Authors: Atminas, A, Lozin, V
• Format: Paper
• Language: English
• Published: Ithaca Cornell University Library, arXiv.org 18.06.2022
• Subjects: Graph theory; Graphs

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.