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              <text>Roman domination in signed graphs</text>
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              <text>Dominating functions; Roman dominating functions; Signed graphs</text>
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              <text>Let S = (G, ?) be a signed graph. A function f : V ? {0, 1, 2} is a Roman dominating function on S if (i) for each v ? V, f(N[v]) = f(v) + Pu?N(v) ?(uv)f(u) ? 1 and (ii) for each vertex v with f(v) = 0, there exists a vertex u ? N+(v) such that f(u) = 2. In this paper we initiate a study on Roman dominating function on signed graphs. We characterise the signed paths, cycles and stars that admit a Roman dominating function.  2023 Azarbaijan Shahid Madani University.</text>
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              <text>Joseph J.; Joseph M.</text>
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              <text>Communications in Combinatorics and Optimization, Vol-8, No. 2, pp. 349-358.</text>
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              <text>Azarbaijan Shahid Madani University</text>
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              <text>2023-01-01</text>
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              <text>&lt;a href="https://doi.org/10.22049/cco.2022.27438.1264" target="_blank" rel="noreferrer noopener"&gt;https://doi.org/10.22049/cco.2022.27438.1264&lt;/a&gt;
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              <text>Restricted Access</text>
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              <text>ISSN: 25382128</text>
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              <text>Online</text>
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              <text>English</text>
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              <text>Joseph J., Department of Mathematics, CHRIST(Deemed to be University), Bangalore, India; Joseph M., Department of Mathematics, CHRIST(Deemed to be University), Bangalore, India</text>
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