288 search results - page 6 / 58 » On the number of maximal independent sets in a graph |
DCOSS
2008
Springer
13 years 9 months ago
2008
Springer
We present the first local approximation schemes for maximum independent set and minimum vertex cover in unit disk graphs. In the graph model we assume that each node knows its geo...
ESA
2006
Springer
13 years 11 months ago
2006
Springer
Abstract. We consider the problem of finding shortest paths in a graph with independent randomly distributed edge lengths. Our goal is to maximize the probability that the path len...
SWAT
1994
Springer
13 years 11 months ago
1994
Springer
Abstract. Finding maximum independent sets in graphs with bounded maximum degree is a well-studied NP-complete problem. We introduce an algorithm schema for improving the approxim...
JCT
2007
13 years 7 months ago
2007
Let G be a d-regular graph with girth g, and let α be the independence number of G. We show that α(G) ≥ 1 2 1 − (d − 1)−2/(d−2) − (g) n where (g) → 0 as g → ∞,...
PODC
2011
ACM
12 years 10 months ago
2011
ACM
A maximal independent set on a graph is an inclusion-maximal set of mutually non-adjacent nodes. This basic symmetry breaking structure is vital for many distributed algorithms, w...