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Published February 29, 2020 | Version v1
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Further Results on Dual Domination in Graphs

  • 1. Research Scholar, Department of Mathematics, Nazareth Margoschis College, Pillaiyanmanai,Thoothukudi-628617, Affiliated to Manonmaniam Sundaranar University, Abishekapatti, Tirunelveli-627 012, TamilNadu, India.
  • 2. Department of Mathematics, Nazareth Margoschis College, Pillaiyanmanai,Thoothukudi-628617, Affiliated to Manonmaniainm Sundaranar University, Abishekapatti, Tirunelveli-627 012, TamilNadu, India
  • 3. Department of Mathematics, The M.D.T Hindu College, Pettai, Tirunelveli- 627010,, Affiliated to Manonmaniam Sundaranar University, Abishekapatti, Tirunelveli-627012, TamilNadu, India
  • 1. Publisher

Description

Let G = (V, E) be a simple graph. A set S V(G) is a dual dominating set of G (or bi-dominating set of G) if S is a dominating set of G and every vertex in S dominates exactly two vertices in V-S. The dual-domination number γdu(G) (or bi-domination number G bi  ) of a graph G is the minimum cardinality of the minimal dual dominating set (or dual dominating set). In this paper dual domination number and relation with other graph parameters are determined.

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Journal article: 2249-8958 (ISSN)

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ISSN
2249-8958
Retrieval Number
C5588029320/2020©BEIESP