Extensions of Turán's theorem on graphs
✍ Scribed by G. Dirac
- Publisher
- Akadmiai Kiad
- Year
- 1963
- Tongue
- English
- Weight
- 391 KB
- Volume
- 14
- Category
- Article
- ISSN
- 1588-2632
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📜 SIMILAR VOLUMES
## Abstract The minimum size of a __k__‐connected graph with given order and stability number is investigated. If no connectivity is required, the answer is given by Turán's Theorem. For connected graphs, the problem has been solved recently independently by Christophe et al., and by Gitler and Val
## 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)/(__