• REAL AND CLONE DOMINATION NUMBER OF SEMI COMPLEMENTARY SPLITTING GRAPH

S. DHANALAKSHMI, R. MALINI DEVI*

Abstract


A subset D of R is said to be a Real dominating set of S′(G), if every vertex v in R D is R – adjacent to a vertex  of D. The minimum cardinality of vertices in such a set is called the R – domination number of S′(G) and is denoted by γR(S′(G)). A subset D of R is said to be a Clone dominating set of S′(G), if every vertex v′ є C is C – adjacent to a vertex of D. The minimum cardinality of vertices in such a set is called the Clone domination number of S′(G) and is denoted  by γC(S′(G))  .


Keywords


Semi Complementary Splitting Graph -Real adjacent-Clone adjacent –Real domination –Clone domination.

Full Text:

PDF


Creative Commons License
This work is licensed under a Creative Commons Attribution-NonCommercial-ShareAlike 4.0 International License.
© 2010-2022 International Journal of Mathematical Archive (IJMA)
Copyright Agreement & Authorship Responsibility
Web Counter