32 search results - page 2 / 7 » On Counting Independent Sets in Sparse Graphs |
APPROX
2004
Springer
13 years 11 months ago
2004
Springer
ABSTRACT: Let G(n, c/n) and Gr(n) be an n-node sparse random graph and a sparse random rregular graph, respectively, and let I(n, r) and I(n, c) be the sizes of the largest indepen...
APPROX
2005
Springer
13 years 11 months ago
2005
Springer
We consider the problem of finding a maximum independent set in a random graph. The random graph G, which contains n vertices, is modelled as follows. Every edge is included inde...
CORR
2004
Springer
13 years 6 months ago
2004
Springer
FOCS
2009
IEEE
14 years 1 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...
APPROX
2004
Springer
13 years 11 months ago
2004
Springer
While it is exponentially unlikely that a sparse random graph or hypergraph is connected, with probability 1 − o(1) such a graph has a “giant component” that, given its numbe...