# Characterization of signed paths and cycles admitting minus dominating function

Document Type : Original paper

Authors

Department of Mathematics, CHRIST (Deemed to be University), Bangalore-29, INDIA

Abstract

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.

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#### References

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