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Perfect Matching Interdiction Problem Restricted to a Stable Vertex

  • Gholam Hassan Shirdel
  • Nasrin Kahkeshani
Original Paper

Abstract

Suppose v is the stable vertex of a weighted graph G. The purpose of the perfect matching interdiction problem restricted to the stable vertex v in G is to remove v and a vertex adjacent to v such that the weight of the maximum perfect matching in the resulting graph is minimized. In this paper, we present an approximate solution for this problem. According to the approximate and optimal solutions, a special ratio is introduced for this problem. This ratio is not bounded from above and we obtain it for some special classes of graphs.

Keywords

Perfect matching Interdiction Stable vertex Weighted graph 

Mathematics Subject Classification

05C70 

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Copyright information

© Springer Nature India Private Limited 2018

Authors and Affiliations

  1. 1.Department of Mathematics, Faculty of Basic SciencesUniversity of QomQomIran

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