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- W4313251503 abstract "Let G=(V,E) be a graph. A function f: E→{−1,0,+1} is said to be a balanced cycle dominating function (BCDF) of G if ∑e∈E(C)f(e)=0 holds for any induced cycle C of G. The balanced cycle domination number of G is defined as γbc′(G)=max {∑e∈E(G)f(e)|f is a BCDF of G}. A graph G=(V,E) is said to be a signed cycle balanced graph (SCB-graph) if there exists a function f: E→{−1,+1} such that ∑e∈E(C)f(e)=0 holds for any induced cycle C of G, and f is said to be a signed cycle balanced dominating function (SCBDF) of G. The signed cycle balanced domination number of G is defined as γscb′(G)=max{∑e∈E(G)f(e)| f is an SCBDF of G}. In this paper, we present upper bounds for balanced cycle domination number and signed cycle balanced domination number. The exact values of this parameter are determined for a few classes of graphs." @default.
- W4313251503 created "2023-01-06" @default.
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- W4313251503 date "2022-12-27" @default.
- W4313251503 modified "2023-10-16" @default.
- W4313251503 title "On balanced cycle domination of graphs" @default.
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- W4313251503 doi "https://doi.org/10.1080/09728600.2022.2156309" @default.
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