42 search results - page 1 / 9 » Small subgraphs of random regular graphs |
DM
2007
14 years 10 months ago
2007
The main aim of this short paper is to answer the following question. Given a fixed graph H, for which values of the degree d does a random d-regular graph on n vertices contain ...
EJC
2006
14 years 10 months ago
2006
The small subgraph conditioning method first appeared when Robinson and the second author showed the almost sure hamiltonicity of random d-regular graphs. Since then it has been u...
81
Voted
RSA
2011
14 years 5 months ago
2011
An old problem of Erd˝os, Fajtlowicz and Staton asks for the order of a largest induced regular subgraph that can be found in every graph on n vertices. Motivated by this problem...
JCT
2008
14 years 10 months ago
2008
Let G be a regular graph and H a subgraph on the same vertex set. We give surprisingly compact formulas for the number of copies of H one expects to find in a random subgraph of G...
81
Voted
RSA
2006
14 years 10 months ago
2006
In this paper, we prove that there exists a function k = (4 + o(1))k such that G(n, /n) contains a k-regular graph with high probability whenever > k. In the case of k = 3, it...