A Note on the Signed Clique Domination Numbers of Graphs
Let G=V,E be a graph. A function f:E⟶−1,+1 is said to be a signed clique dominating function (SCDF) of G if ∑e∈EKfe≥1 holds for every nontrivial clique K in G. The signed clique domination number of G is defined as γscl′G=min∑e∈EGfe|fis an SCDF ofG. In this paper, we investigate the signed clique do...
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Published in | Journal of mathematics (Hidawi) Vol. 2022; no. 1 |
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Main Authors | , , |
Format | Journal Article |
Language | English |
Published |
Cairo
Hindawi
2022
Hindawi Limited Wiley |
Subjects | |
Online Access | Get full text |
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Summary: | Let G=V,E be a graph. A function f:E⟶−1,+1 is said to be a signed clique dominating function (SCDF) of G if ∑e∈EKfe≥1 holds for every nontrivial clique K in G. The signed clique domination number of G is defined as γscl′G=min∑e∈EGfe|fis an SCDF ofG. In this paper, we investigate the signed clique domination numbers of join of graphs. We correct two wrong results reported by Ao et al. (2014) and Ao et al. (2015) and determine the exact values of the signed clique domination numbers of Pm∨Kn¯ and Cm∨Kn. |
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ISSN: | 2314-4629 2314-4785 |
DOI: | 10.1155/2022/3208164 |