Product Signed Domination in Graphs

Autor: T M Velammal, A Nagarajan, K Palani
Jazyk: angličtina
Rok vydání: 2022
Předmět:
Zdroj: Ratio Mathematica, Vol 44, Iss 0, Pp 340-348 (2022)
Druh dokumentu: article
ISSN: 1592-7415
2282-8214
DOI: 10.23755/rm.v44i0.923
Popis: Let be a simple graph. The closed neighborhood of , denoted by , is the set . A function is a product signed dominating function, if for every vertex where . The weight of , denoted by , is the sum of the function values of all the vertices in . . The product signed domination number of is the minimum positive weight of a product signed dominating function. In this paper, we establish bounds on the product signed domination number and estimate product signed domination number for some standard graphs
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