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The k-path vertex cover in Cartesian product graphs and complete bipartite graphs

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  • Li, Zhao
  • Zuo, Liancui

Abstract

For a graph G and a positive integer k, a subset S of vertices of G is called a k-path vertex cover if S intersects all paths of order k in G. The cardinality of a minimum k-path vertex cover is denoted by ψk(G), and called the k-path vertex cover number of G. In this paper, we study some Cartesian product graphs and give several estimations and the exact values of ψk(G).

Suggested Citation

  • Li, Zhao & Zuo, Liancui, 2018. "The k-path vertex cover in Cartesian product graphs and complete bipartite graphs," Applied Mathematics and Computation, Elsevier, vol. 331(C), pages 69-79.
    • Handle: RePEc:eee:apmaco:v:331:y:2018:i:c:p:69-79
    DOI: 10.1016/j.amc.2018.03.008
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    Cited by:

    1. Brešar, Boštjan & Kos, Tim & Krivoš-Belluš, Rastislav & Semanišin, Gabriel, 2019. "Hitting subgraphs in P4-tidy graphs," Applied Mathematics and Computation, Elsevier, vol. 352(C), pages 211-219.
    2. Gledel, Valentin & Iršič, Vesna & Klavžar, Sandi, 2019. "Strong geodetic cores and Cartesian product graphs," Applied Mathematics and Computation, Elsevier, vol. 363(C), pages 1-1.

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