Azarbaijan Shahid Madani UniversityCommunications in Combinatorics and Optimization2538-21285120200601Characterization of signed paths and cycles admitting minus dominating function61681397710.22049/cco.2019.26661.1128ENMayammaJosephDepartment of Mathematics, CHRIST (Deemed to be University), Bangalore-29, INDIA0000-0001-5819-247XS.R.ShreyasDepartment of Mathematics, CHRIST (Deemed to be University), Bangalore-29, INDIAJournal Article20190902If G = (V, E, σ) is a finite signed graph, a function f : V → {−1, 0, 1} is a minus<br />dominating function (MDF) of G if f(u) +summation over all vertices v∈N(u) of σ(uv)f(v) ≥ 1 for all u ∈ V . In this paper we characterize signed paths and cycles admitting an MDF.http://comb-opt.azaruniv.ac.ir/article_13977_d69f8161a1b3221a35ffcfac6d8735d5.pdf