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- Title
A NOTE ON THE SEMITOTAL DOMINATION NUMBER AND SEMITOTAL BONDAGE NUMBER OF WHEEL AND CYCLE RELATED GRAPHS.
- Authors
Yıldız, Zeliha Kartal
- Abstract
For a graph G(V (G),E(G)), a set S is semitotal dominating set if both the set S is a dominating set and every vertex in S must be within 2 distance of another vertex in S. The minimum cardinality of a semitotal dominating set is called semitotal domination number and is denoted by ?t2(G). The semitotal bondage number, denoted by bt2(G), of G is the minimum number of edges to be removed from the graph to increase the semitotal domination number. We determine the semitotal domination number and semitotal bondage number of some wheel and cycle related graphs such as friendship, gear, helm, fan and n-gon book.
- Subjects
DOMINATING set; GEOMETRIC vertices; GRAPH theory; WIRELESS communications; BOREL subsets
- Publication
Journal of Modern Technology & Engineering, 2021, Vol 6, Issue 3, p230
- ISSN
2519-4836
- Publication type
Article