Article ID Journal Published Year Pages File Type
419837 Discrete Applied Mathematics 2008 7 Pages PDF
Abstract

We design fast exponential time algorithms for some intractable graph-theoretic problems. Our main result states that a minimum optional dominating set in a graph of order nn can be found in time O∗(1.8899n)O∗(1.8899n). Our methods to obtain this result involve matching techniques.The list of the considered problems includes Minimum Maximal Matching, 3-Colourability, Minimum Dominating Edge Set, Minimum Connected Dominating Set (∼Maximum Leaf Spanning Tree), Minimum Independent Dominating Set and Minimum Dominating set.

Related Topics
Physical Sciences and Engineering Computer Science Computational Theory and Mathematics
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