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A generalization of the Hahn-Banach theorem

✍ Scribed by Norimichi Hirano; Hidetoshi Komiya; Wataru Takahashi

Publisher: Elsevier Science
Year: 1982
Tongue: English
Weight: 286 KB
Volume: 88
Category: Article
ISSN: 0022-247X
DOI: 10.1016/0022-247x(82)90196-2

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## Abstract In this paper, we obtain an asymptotic generalization of Turán's theorem. We prove that if all the non‐trivial eigenvalues of a __d__‐regular graph __G__ on __n__ vertices are sufficiently small, then the largest __K__~__t__~‐free subgraph of __G__ contains approximately (__t__ − 2)/(__