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- W2065550674 abstract "For a positive integer k , a k -subdominating function of G=(V,E) is a function f : V→{−1,1} such that the sum of the function values, taken over closed neighborhoods of vertices, is at least one for at least k vertices of G . The sum of the function values taken over all vertices is called the aggregate of f and the minimum aggregate among all k -subdominating functions of G is the k -subdomination number γ ks (G) . In this paper, we solve a conjecture proposed in (Ars. Combin 43 (1996) 235), which determines a sharp upper bound on γ ks (G) for trees if k>|V|/2 and give an upper bound on γ ks for connected graphs." @default.
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- W2065550674 date "2002-03-01" @default.
- W2065550674 modified "2023-09-30" @default.
- W2065550674 title "Upper bounds for the k-subdomination number of graphs" @default.
- W2065550674 cites W1988476357 @default.
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- W2065550674 doi "https://doi.org/10.1016/s0012-365x(01)00311-9" @default.
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