A generalization of König–Egervary graphs and heuristics for the maximum independent set problem with improved approximation ratios

A generalization of König–Egervary graphs and heuristics for the maximum independent set problem with improved approximation ratios

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Article ID: iaor19991395
Country: Netherlands
Volume: 97
Issue: 3
Start Page Number: 580
End Page Number: 592
Publication Date: Mar 1997
Journal: European Journal of Operational Research
Authors: ,
Keywords: heuristics, sets
Abstract:

We first study a generalization of the König–Egervary graphs, the class of the κ-KE graphs, and propose an exact polynomial time algorithm solving maximum independent set problem in this class. Next, we show how this result can be efficiently used to devise polynomial time approximation algorithms with improved approximation ratios for the maximum independent set problem in general graphs.

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