31 search results - page 2 / 7 » Regular induced subgraphs of a random Graph |
SIAMDM
2008
13 years 10 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
14 years 2 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,...
SODA
2008
ACM
13 years 11 months ago
2008
ACM
One of the main questions that arise when studying random and quasi-random structures is which properties P are such that any object that satisfies P "behaves" like a tr...
RSA
2006
13 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...
DM
2007
13 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 ...