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- W2377964917 abstract "Let G =(V, E) be a graph.A function f: E →{-1,1} is to be an efficient signed edge dominating functionof G,if ∑f( e′)= 1e ′∈N [ e]holds every edge e ∈E( G). The efficient signed edge domination number rs′e( G) of G is defined as rs′e( G) = min{ ∑ f( e)| f e∈ E( G)which is an efficient signed edge dominating function of G }. This paper firstly gives a necessary condition for the existence of an efficient signed edge domination number and a lower bound on the general graph.Secondly it shows that there is no efficient signed edge dominating function of graphPm ×C n. Finally the sufficient and necessary condition is given for the existence of the efficient signed edge dominating function in a cubic graph." @default.
- W2377964917 created "2016-06-24" @default.
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- W2377964917 date "2015-01-01" @default.
- W2377964917 modified "2023-09-26" @default.
- W2377964917 title "Efficient Signed Edge Domination Number in Graphs" @default.
- W2377964917 hasPublicationYear "2015" @default.
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