An Articulation Point-Based Approximation Algorithm for Minimum Vertex Cover Problem

  • Jayanth Kumar Thenepalle
  • Purusotham SingamsettyEmail author
Conference paper
Part of the Trends in Mathematics book series (TM)


The minimum vertex cover problem (MVCP) is a well-known NP complete combinatorial optimization problem. The aim of this paper is to present an approximation algorithm for minimum vertex cover problem (MVCP). The algorithm construction is based on articulation points/cut vertices and leaf vertices/pendant vertices. The proposed algorithm assures the near optimal or optimal solution for a given graph and can be solved in polynomial time. A numerical example is illustrated to describe the proposed algorithm. Comparative results show that the proposed algorithm is very competitive compared with other existing algorithms.


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© Springer Nature Switzerland AG 2018

Authors and Affiliations

  • Jayanth Kumar Thenepalle
    • 1
  • Purusotham Singamsetty
    • 1
    Email author
  1. 1.Department of MathematicsVITVelloreIndia

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