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Lower bounds on the signed domination numbers of directed graphs
Authors:H. Karami  Abdollah Khodkar
Affiliation:a Department of Mathematics, Azarbaijan University of Tarbiat Moallem, Tabriz, Islamic Republic of Iran
b Department of Mathematics, University of West Georgia, Carrollton, GA 30118, United States
Abstract:A numerical invariant of directed graphs concerning domination which is named signed domination number γS is studied in this paper. We present some sharp lower bounds for γS in terms of the order, the maximum degree and the chromatic number of a directed graph.
Keywords:Signed dominating function   Signed domination number   Directed graph
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