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A Generalization of a Theorem of H. Friedman

โœ Scribed by C. Dimitracopoulos


Publisher
John Wiley and Sons
Year
1985
Tongue
English
Weight
255 KB
Volume
31
Category
Article
ISSN
0044-3050

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๐Ÿ“œ SIMILAR VOLUMES


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A generalization of Turรกn's theorem
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## Abstract In this paper, we obtain an asymptotic generalization of Turรกn's theorem. We prove that if all the nonโ€trivial eigenvalues of a __d__โ€regular graph __G__ on __n__ vertices are sufficiently small, then the largest __K__~__t__~โ€free subgraph of __G__ contains approximately (__t__โ€‰โˆ’โ€‰2)/(__

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In this paper, we give a generalization of a well-known result of Dirac that given any k vertices in a k-connected graph where k 2, there is a circuit containing all of them. We also generalize a result of Ha ggkvist and Thomassen. Our main result partially answers an open matroid question of Oxley.

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## Abstract In this article we characterize the quasiโ€barrelledness of the projective tensor product of a coechelon space of type one __k__ ^1^(__A__) with a Frรฉchet space, including homological conditions as exactness properties of the corresponding tensor product functor __k__ ^1^(__A__) ยท: โ„ฑ โ†’