Efficient Algorithms for Determining the Maximum Independent Sets in Graphs

Abstract

It is known that there are many NP-hard and NP-complete problems in graph theory. The aim of this paper to solve the maximum independent set which is an NP-Hard and NP-Complete problem. In order to solve maximum independent set for given graph, a special spanning tree which is defined in this paper for the first time, is solved to obtain the fundamental cut-sets. The fundamental cut-sets are used to determine the effects of nodes. These effects of nodes are used to determine the elements of maximum independent set.

Keywords

• Spanning Tree,Fundamental Cut-Sets,Efficient Algorithms,Effects of Nodes

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