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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"
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.