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Connected domination critical graphs with a block having maximum number of cut vertices

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  • Henning, Michael A.
  • Kaemawichanurat, Pawaton

Abstract

A set D of vertices in a graph G is a dominating set if every vertex in V(G)−D is adjacent to a vertex in D. If the subgraph induced by the set D is connected, then D is a connected dominating set in G. The connected domination number of G,γc(G), is the minimum cardinality of a connected dominating set of G. A graph G is k-γc-critical if γc(G)=k and γc(G+uv)

Suggested Citation

  • Henning, Michael A. & Kaemawichanurat, Pawaton, 2021. "Connected domination critical graphs with a block having maximum number of cut vertices," Applied Mathematics and Computation, Elsevier, vol. 406(C).
    • Handle: RePEc:eee:apmaco:v:406:y:2021:i:c:s0096300321003386
    DOI: 10.1016/j.amc.2021.126248
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    References listed on IDEAS

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    1. Henning, Michael A. & Ananchuen, Nawarat & Kaemawichanurat, Pawaton, 2020. "Traceability of connected domination critical graphs," Applied Mathematics and Computation, Elsevier, vol. 386(C).
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    Cited by:

    1. Norah Almalki & Pawaton Kaemawichanurat, 2021. "Structural Properties of Connected Domination Critical Graphs," Mathematics, MDPI, vol. 9(20), pages 1-21, October.

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    1. Norah Almalki & Pawaton Kaemawichanurat, 2021. "Structural Properties of Connected Domination Critical Graphs," Mathematics, MDPI, vol. 9(20), pages 1-21, October.

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    Keywords

    Connected domination;

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