Quasi-randomness and the distribution of copies of a fixed graph
β Scribed by Asaf Shapira
- Publisher
- Springer-Verlag
- Year
- 2008
- Tongue
- English
- Weight
- 518 KB
- Volume
- 28
- Category
- Article
- ISSN
- 0209-9683
No coin nor oath required. For personal study only.
π SIMILAR VOLUMES
## Rucidski, A., Matching and covering the vertices of a random graph by copies of a given graph, Discrete Mathematics 105 (1992) 185-197. In this paper we partially answer the question: how slowly must p(n) converge to 0 so that a random graph K(n, p) has property PM, almost surely, where PM, me
A graph of order n is said to be 3-placeable if there are three edge-disjoint copies of this graph in K,,. An ( n , n -1)-graph is a graph of order n with n -1 edges. In this paper w e characterize all the (n, n -1)-graphs which contain no cycles of length 3 or 4 and which are 3-placeable.
Consider I:andom graphs with n labelled vertices in which the edges are chosen independently and with a 6lxed probability p, 0 <p C 1. Let y be a fixed real number, q = 1p, and denote by A the maximum degree. Then
## Abstract Suppose that __G, H__ are infinite graphs and there is a bijection Ξ¨; V(G) Ξ¨ V(H) such that __G__ β ΞΎ β H β Ξ¨(ΞΎ) for every ΞΎ βΌ __V__(G). Let __J__ be a finite graph and /(Ο) be a cardinal number for each Ο β __V__(J). Suppose also that either /(Ο) is infinite for every Ο β __V__(J) or _