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Document details - "SPLIT AND NON SPLIT TWO DOMINATION NUMBERS OF SEMI TOTAL - POINT GRAPH"

Journal Volume 7, Issue 2, March - April 2018, Article 8681973 Dr.A.Mydeen Bibi, M.Santhosh Priya , " "SPLIT AND NON SPLIT TWO DOMINATION NUMBERS OF SEMI TOTAL - POINT GRAPH"" , International Journal of Emerging Trends & Technology in Computer Science (IJETTCS) , Volume 7, Issue 2, March - April 2018 , pp. 070-078 , ISSN 2278 - 6856.

"SPLIT AND NON SPLIT TWO DOMINATION NUMBERS OF SEMI TOTAL - POINT GRAPH"

    Dr.A.Mydeen Bibi, M.Santhosh Priya

Abstract

Abstract: A dominating set D ? V of a graph G is a Split two dominating set if the induced subgraph is disconnected and every vertex is adjacent to atleast two vertices in D. The Split two domination number ?s2 (G) is the minimum cardinality of a Split two dominating set. A Dominating set D V of a graph G is a Non Split two dominating set if the induced subgraph is connected and every vertex in V-D is adjacent to atleast two vertices in D. The Non Split two domination number ?ns2 (G) is the minimum cardinality of a Non Split two dominating set. For any graph G = (V, E), the semi total point graph T2(G) = H is the graph whose vertex set is the union of vertices and edges in which two vertices are adjacent if and only if they are adjacent vertices of G or one is a vertex and other is an edge of G incident with it. In this paper we investigate the behavior of Split two and Non Split two domination number for Semi Total – point graphs. Keywords: Split Two Domination Number, Non Split Two Domination Number, & Semi Total - Point Graph.

  • ISSN: 22786856
  • Source Type: Journal
  • Original language: English

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