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                <text>Faculty Publications</text>
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              <text>Joseph, J.; Joseph, M.</text>
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          <name>Title</name>
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              <text>STRUCTURAL PROPERTIES OF SIGNED GRAPHS ADMITTING ROMAN DOMINATING FUNCTION</text>
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              <text>01-01-2025</text>
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              <text>Turkish World Mathematical Society Journal of Applied and Engineering Mathematics;Volume;15;Issue;2;pp.353-362</text>
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              <text>&lt;a href="https://www.scopus.com/pages/publications/85217943455?origin=resultslist" target="_blank" rel="noreferrer noopener"&gt;https://www.scopus.com/pages/publications/85217943455?origin=resultslist&lt;/a&gt;</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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              <text>A Roman dominating function(RDF) on a signed graph S = (G, ?) is a function f: V (S) ? {0, 1, 2} such that (i) (Formula presented) for every vertex (Formula presented) and (ii) for any vertex v with f(v) = 0 there exists a vertex (Formula presented) having f(u) = 2. In this article we explore structural properties of signed graphs admitting an RDF. Further, signed graphs with 3-regular graph as their underlying graph are examined and characterisation of one of its subclasses, net-regular signed graphs admitting an RDF is obtained.  I??k University, Department of Mathematics, 2025; all rights reserved.</text>
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              <text>roman dominating function; roman domination number; signed graphs</text>
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              <text>Isik University</text>
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              <text>ISSN: 21461147;</text>
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              <text>English</text>
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              <text>Restricted Access; Hardcopy may be available in the library</text>
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