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Detour global domination for splitting graph.
- Source :
- Discrete Mathematics, Algorithms & Applications; Jul2023, Vol. 15 Issue 5, p1-8, 8p
- Publication Year :
- 2023
-
Abstract
- In this paper, we introduced the new concept detour global domination number for splitting graph of standard graph. The detour global dominating sets in some standard and special graphs are determined. First we recollect the concept of splitting graph of a graph and we produce some results based on the detour global domination number of splitting graph of star graph, bistar graph and complete bipartite graph. A set S is called a detour global dominating set of G if S is both detour and global dominating set of G. The detour global domination number is the minimum cardinality of a detour global dominating set in G. [ABSTRACT FROM AUTHOR]
- Subjects :
- DOMINATING set
BIPARTITE graphs
COMPLETE graphs
Subjects
Details
- Language :
- English
- ISSN :
- 17938309
- Volume :
- 15
- Issue :
- 5
- Database :
- Complementary Index
- Journal :
- Discrete Mathematics, Algorithms & Applications
- Publication Type :
- Academic Journal
- Accession number :
- 163853394
- Full Text :
- https://doi.org/10.1142/S1793830922501221