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  • Fundamental Journal of Mathematics and Applications
  • Volume:3 Issue:2
  • Disjunctive Total Domination of Some Shadow Distance Graphs

Disjunctive Total Domination of Some Shadow Distance Graphs

Authors : Canan ÇİFTÇİ
Pages : 185-193
Doi:10.33401/fujma.790046
View : 25 | Download : 9
Publication Date : 2020-12-15
Article Type : Research Paper
Abstract :Let $ G $ be a graph having vertex set $ Vinsert ignore into journalissuearticles values(G); $. For $ S\subseteq Vinsert ignore into journalissuearticles values(G); $, if each vertex is adjacent to a vertex in $ S $ or has at least two vertices in $ S $ at distance two from it, then the set $ S $ is a disjunctive total dominating set of $ G $. The disjunctive total domination number is the minimum cardinality of such a set. In this work, we discuss the disjunctive total domination of shadow distance graphs of some graphs such as cycle, path, star, complete bipartite and wheel graphs.
Keywords : Disjunctive total domination, Domination, Shadow distance graph

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