The independence ratio and genus of a graph

Author:

Albertson Michael O.,Hutchinson Joan P.

Abstract

In this paper we study the relationship between the genus of a graph and the ratio of the independence number to the number of vertices.

Publisher

American Mathematical Society (AMS)

Subject

Applied Mathematics,General Mathematics

Reference10 articles.

1. Finding an independent set in a planar graph;Albertson, Michael O.,1974

2. A lower bound for the independence number of a planar graph;Albertson, Michael O.;J. Combinatorial Theory Ser. B,1976

3. M. O. Albertson and J. P. Hutchinson, On the independence ratio of a graph, J. Graph Theory (submitted).

4. The maximum size of an independent set in a nonplanar graph;Albertson, Michael O.;Bull. Amer. Math. Soc.,1975

5. The maximum size of an independent set in a toroidal graph;Albertson, Michael O.,1975

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