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Boundary Domination of Line and Middle Graph of Wheel Graph Families
| International Journal of Computer Applications |
| Foundation of Computer Science (FCS), NY, USA |
| Volume 134 - Number 5 |
| Year of Publication: 2016 |
| Authors: Mohammed Alatif, Puttaswamy Rangaiah, Nayaka S.R. |
10.5120/ijca2016907928
|
Mohammed Alatif, Puttaswamy Rangaiah, Nayaka S.R. . Boundary Domination of Line and Middle Graph of Wheel Graph Families. International Journal of Computer Applications. 134, 5 ( January 2016), 1-5. DOI=10.5120/ijca2016907928
Abstract
Let G = (V;E) be a connected graph. A subset S of V (G) is called a boundary dominating set if every vertex of V − S is boundary dominated by some vertex of S. The minimum taken over all boundary dominating sets of a graph G is called the boundary domination number of G and is denoted by γb(G). We define the boundary domatic number in graphs. Exact values of of Wheel Graph Families are obtained and some other interesting results are established.
References
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