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A generalization of the little Picard theorem

✍ Scribed by O. B. Skaskiv


Publisher
Springer US
Year
1990
Tongue
English
Weight
482 KB
Volume
48
Category
Article
ISSN
1573-8795

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## Abstract In this paper, we obtain an asymptotic generalization of TurΓ‘n'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__β€‰βˆ’β€‰2)/(__