Computing independent sets in graphs with large girth

Computing independent sets in graphs with large girth

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Article ID: iaor19921411
Country: Netherlands
Volume: 36
Issue: 2
Start Page Number: 167
End Page Number: 170
Publication Date: Jan 1992
Journal: Discrete Applied Mathematics
Authors:
Abstract:

It is shown that the well-known independent set problem remains NP-complete even when restricted to graphs which contain no cycles of length less than cnk where n is the number of vertices in the graph, and c and k are constants satisfying c>0 and 0•k<1. A polynomial time approximation algorithm for this problem is also examined.

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