New Algorithms for Minimum Dominating Set in Any Graphs

Year 2020, Volume: 5 Issue: 2, 62 - 70, 01.12.2020

Ali Karci

Abstract

There are many NP-hard and NP-complete problems in graph theory. The aim of this paper is to solve minimum dominating set problem which is an NP-hard and NP-Complete problem. At this aim, there is a new type spanning tree for given graph, and the fundamental cut-sets of graph are constructed by using this spanning tree. The cut-sets and spanning tree constitute the basic building blocks for algorithms will be proposed in this study.

Keywords

Dominating Sets , Fundamental Cut-Sets , Efficient Algorithms

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