226 search results - page 14 / 46 » Lower bounds on the obstacle number of graphs |
DAM
2007
13 years 7 months ago
2007
For two given graphs F and H, the Ramsey number R(F, H) is the smallest positive integer p such that for every graph G on p vertices the following holds: either G contains F as a ...
FOCS
2009
IEEE
14 years 2 months ago
2009
IEEE
Abstract— Thorup and Zwick, in their seminal work, introduced the approximate distance oracle, which is a data structure that answers distance queries in a graph. For any integer...
CORR
2004
Springer
13 years 7 months ago
2004
Springer
We present two sequences of ensembles of non-systematic irregular repeat-accumulate codes which asymptotically (as their block length tends to infinity) achieve capacity on the bi...
COMBINATORICS
2006
13 years 7 months ago
2006
A d-dimensional hypercube drawing of a graph represents the vertices by distinct points in {0, 1}d, such that the line-segments representing the edges do not cross. We study lower...
DAM
2006
13 years 7 months ago
2006
The connectivity index w(G) of a graph G is the sum of the weights (d(u)d(v)) of all edges uv of G, where is a real number ( = 0), and d(u) denotes the degree of the vertex u. Le...