30 search results - page 1 / 6 » Large induced subgraphs with equated maximum degree |
DM
2010
14 years 10 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...
82
Voted
WG
2005
Springer
15 years 3 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 ...
78
Voted
SIAMDM
2008
14 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...
96
Voted
JGAA
2007
14 years 10 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...
78
Voted
DMTCS
2006
14 years 10 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...