3471 search results - page 209 / 695 » Obstacle Numbers of Graphs |
132
Voted
JCT
2006
15 years 5 months ago
2006
One of Erdos' favourite conjectures was that any triangle-free graph G on n vertices should contain a set of n/2 vertices that spans at most n2/50 edges. We prove this when t...
163
click to vote
GC
2011
Springer
14 years 8 months ago
2011
Springer
The minimum clique partition (MCP) problem is that of partitioning the vertex set of a given graph into a minimum number of cliques. Given n points in the plane, the corresponding...
160
Voted
COMBINATORICS
1998
15 years 4 months ago
1998
The aim of this paper is to give a coherent account of the problem of constructing cubic graphs with large girth. There is a well-defined integer µ0(g), the smallest number of v...
159
click to vote
STOC
2005
ACM
16 years 5 months ago
2005
ACM
We introduce a new graph parameter, called the Grothendieck constant of a graph G = (V, E), which is defined as the least constant K such that for every A : E R, sup f:V S|V |-1 ...
148
Voted
SIAMDM
2008
15 years 4 months ago
2008
In this paper we consider the problem of testing whether a graph is triangle-free, and more generally, whether it is H-free, for a fixed subgraph H. The algorithm should accept gr...