## Abstract For an __r__βuniform hypergraph __G__ define __N__(__G__, __l__; 2) (__N__(__G__, __l__; β€~__n__~)) as the smallest integer for which there exists an __r__βuniform hypergraph __H__ on __N__(__G__, __l__; 2) (__N__(__G__,__l__; β€~__n__~)) vertices with clique(__H__)β<β__l__ such that eve
A generalization of Ramsey's theorem for regular trees
β Scribed by Walter Deuber
- Publisher
- Elsevier Science
- Year
- 1975
- Tongue
- English
- Weight
- 331 KB
- Volume
- 18
- Category
- Article
- ISSN
- 0095-8956
No coin nor oath required. For personal study only.
π SIMILAR VOLUMES
For every integer tz we denote by n the set {O, 1, . . . , n -1). We denote by En]" the collection of subsets of with exactly k elements. We call the elements of [n]" k-tuples and write thein dlown as (a,, . . . , a,) in the natural order: a, < a, c l . l < ak < n. A colouting 04 [nlk by r colours i
## Abstract In this paper, we obtain an asymptotic generalization of TurΓ‘n's theorem. We prove that if all the nonβtrivial eigenvalues of a __d__βregular graph __G__ on __n__ vertices are sufficiently small, then the largest __K__~__t__~βfree subgraph of __G__ contains approximately (__t__βββ2)/(__