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A note on Graham's bound

✍ Scribed by Zhen Liu

Publisher: Elsevier Science
Year: 1990
Tongue: English
Weight: 404 KB
Volume: 36
Category: Article
ISSN: 0020-0190
DOI: 10.1016/0020-0190(90)90177-y

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## Abstract If a graph __G__ has no induced subgraph isomorphic to __K__~1,3′~ __K__~5~‐__e__, or a third graph that can be selected from two specific graphs, then the chromatic number of __G__ is either __d__ or __d__ + 1, where __d__ is the maximum order of a clique in __G__.