Characterization of signed paths and cycles admitting minus dominating function

	Characterization of signed paths and cycles admitting minus dominating function
Communications in Combinatorics and Optimization
مقاله 16، دوره 5، شماره 1، شهریور 2020، صفحه 61-68 اصل مقاله (375.48 K)
نوع مقاله: Original paper
شناسه دیجیتال (DOI): 10.22049/cco.2019.26661.1128
نویسندگان
Mayamma Joseph^* ؛ S.R. Shreyas
Department of Mathematics, CHRIST (Deemed to be University), Bangalore-29, INDIA
چکیده
Let $G=(V,E,\sigma)$ be a finite signed graph. A function $f: V \rightarrow\{-1,0,1\}$ is a minus dominating function (MDF) of $ G $ if $f(u)+\sum_{v \in N(u)} \sigma (uv)f(v)\geq 1 $ for all $ u\in V $. In this paper we characterize signed paths and cycles admitting an MDF.
کلیدواژه‌ها
Signed graphs؛ Minus domination؛ Minus Dominating Function

مراجع
[1] B.D. Acharya, Minus domination in signed graphs, Journal of Combinatorics, Information and System Sciences 37 (2012), 333–358. [2] D. Cartwright and F. Harary, Structural balance: a generalization of heider’s theory., Psych. Rev. 63 (1956), no. 5, 277–293. [3] J. Dunbar, S. Hedetniemi, M.A. Henning, and A. McRae, Minus domination in graphs, Discrete Math. 199 (1999), no. 1-3, 35–47. [4] F. Harary, On the notion of balance of a signed graph, Mich. Math. J. 2 (1953), no. 2, 143–146.
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