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              <text>New results on upper domatic number of graphs</text>
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              <text>Domination; Transitivity; Upper domatic number; Upper domatic partition</text>
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              <text>For a graph G = (V, E), a partition ? = {V1, V2,..., Vk} of the vertex set V is an upper domatic partition if Vi dominates Vj or Vj dominates Vi or both for every Vi, Vj ? ?, whenever i 6= j. The upper domatic number D(G) is the maximum order of an upper domatic partition of G. We study the properties of upper domatic number and propose an upper bound in terms of clique number. Further, we discuss the upper domatic number of certain graph classes including unicyclic graphs and power graphs of paths and cycles.  2020 Azarbaijan Shahid Madani University</text>
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              <text>Samuel L.C.; Joseph M.</text>
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              <text>Communications in Combinatorics and Optimization, Vol-5, No. 2, pp. 125-137.</text>
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              <text>Azarbaijan Shahid Madani University</text>
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              <text>&lt;a href="https://doi.org/10.22049/CCO.2019.26719.1136" target="_blank" rel="noreferrer noopener"&gt;https://doi.org/10.22049/CCO.2019.26719.1136&lt;/a&gt;
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              <text>ISSN: 25382128</text>
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              <text>Samuel L.C., Department of Mathematics, CHRIST (Deemed to be University), Bengaluru, India; Joseph M., Department of Mathematics, CHRIST (Deemed to be University), Bengaluru, India</text>
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