In this paper we characterize the local maxima of a continuous global optimization formulation for finding the independence number of a graph. Classical Karush-Kuhn-Tucker conditions and simple combinatorial arguments are found sufficient to deduce several interesting properties of the local and glo
On a Polynomial Fractional Formulation for Independence Number of a Graph
โ Scribed by Balabhaskar Balasundaram; Sergiy Butenko
- Publisher
- Springer US
- Year
- 2006
- Tongue
- English
- Weight
- 155 KB
- Volume
- 35
- Category
- Article
- ISSN
- 0925-5001
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๐ SIMILAR VOLUMES
A new lower bound on the independence number of a graph is established and an accompanying efficient algorithm constructing an independent vertex set the cardinality of which is at least this lower bound is given. (~
Venezuela Ap. 47567, Caracas Favaron, O., P. Mago and 0. Ordaz, On the bipartite independence number of a balanced bipartite graph, Discrete Mathematics 121 (1993) 55-63. The bipartite independence number GI aIp of a bipartite graph G is the maximum order of a balanced independent set of G. Let 6 b
For a graph G, the definitions of doknation number, denoted y(G), and independent domination number, denoted i(G), are given, and the following results are obtained: oorollrrg 1. For any graph G, y(L(G)) = i@(G)), where Z,(G) is the line graph of G. (This $xh!s t.lic rtsult ~(L(T))~i(L(T)), h w ere