An Algorithm for the Inverse Distance-2 Dominating Set of a Graph

  • K. Ameenal Bibi
  • A. Lakshmi
  • R. Jothilakshmi
Conference paper
Part of the Trends in Mathematics book series (TM)


Let G = (V, E) be a simple, finite, connected, and undirected graph. Let D ⊆ V (G) be the non-empty subset of V (G) such that D is the minimum distance-2 dominating set in the graph G = (V, E). If V − D contains a distance-2 dominating set D of G, then D is called an inverse distance-2 dominating set with respect to D. The inverse distance-2 domination number \({{\gamma }_{\leq 2}}^{-1}\left (G\right )\) of G is the minimum cardinality of the minimal inverse distance-2 dominating set of G. In this paper, we presented an algorithm for finding an inverse distance-2 dominating set of a graph.


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© Springer Nature Switzerland AG 2019

Authors and Affiliations

  • K. Ameenal Bibi
    • 1
  • A. Lakshmi
    • 1
  • R. Jothilakshmi
    • 2
  1. 1.PG and Research Department of MathematicsD.K.M College for Women (Autonomous)VelloreIndia
  2. 2.PG and Research Department of MathematicsMazharul Uloom CollegeAmburIndia

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