213 search results - page 5 / 43 » Regular subgraphs of random graphs |
CORR
2008
Springer
13 years 7 months ago
2008
Springer
Finding the largest clique in random graphs is a well known hard problem. It is known that a random graph G(n, 1/2) almost surely has a clique of size about 2 log n. A simple greed...
SIAMDM
2008
13 years 7 months ago
2008
For a real c 1 and an integer n, let f(n, c) denote the maximum integer f such that every graph on n vertices contains an induced subgraph on at least f vertices in which the max...
FSTTCS
2006
Springer
13 years 11 months ago
2006
Springer
Given a graph G=(V, E) on n vertices, the MAXIMUM r-REGULAR INDUCED SUBGRAPH (M-r-RIS) problems ask for a maximum sized subset of vertices R V such that the induced subgraph on R,...
COMBINATORICS
1999
13 years 7 months ago
1999
We prove that the threshold for a random graph to have a k-core is equal to the threshold for having a subgraph which meets a necessary condition of Gallai for being k-critical. 1...
WAW
2009
Springer
14 years 2 months ago
2009
Springer
We consider a random subgraph Gp of a host graph G formed by retaining each edge of G with probability p. We address the question of determining the critical value p (as a function...