30 search results - page 1 / 6 » Large induced subgraphs with equated maximum degree |
DM
2010
13 years 4 months ago
2010
For a graph G, denote by fk(G) the smallest number of vertices that must be deleted from G so that the remaining induced subgraph has its maximum degree shared by at least k verti...
WG
2005
Springer
13 years 10 months ago
2005
Springer
We prove that for all 0 ≤ t ≤ k and d ≥ 2k, every graph G with treewidth at most k has a ‘large’ induced subgraph H, where H has treewidth at most t and every vertex in ...
SIAMDM
2008
13 years 4 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...
JGAA
2007
13 years 4 months ago
2007
The task of finding the largest subset of vertices of a graph that induces a planar subgraph is known as the Maximum Induced Planar Subgraph problem (MIPS). In this paper, some n...
DMTCS
2006
13 years 4 months ago
2006
We consider the problem of generating a random q-colouring of a graph G = (V, E). We consider the simple Glauber Dynamics chain. We show that if for all v V the average degree of...