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    <name>Article</name>
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              <text>The total upper domatic number of a graph</text>
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          <name>Subject</name>
          <description>The topic of the resource</description>
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              <text>Domatic number; total upper domatic number; upper domatic number</text>
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              <text>Let G = (V, E) be a graph with no isolated vertices. For two disjoint subsets A and B of V , if every vertex in B is adjacent to at least one vertex in A, then the set A is said to dominate set B. A partition ? = {V1, V2, . . ., Vk} of the vertex set V is a total upper domatic partition of G if Vi dominates Vj or Vj dominates Vi or both, for any Vi, Vj ? ? and G[Vi], 1 ? i ? k, has no isolated vertices. The total upper domatic number Dt(G) of G is the maximum order of a total upper domatic partition of G. In this paper, we initiate a study on the concept of total upper domatic number and determine the bounds of Dt(G) and exact values of the same for some classes of graphs.  World Scientific Publishing Company.</text>
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          <name>Creator</name>
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              <text>Samuel L.C.; Joseph M.</text>
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              <text>Asian-European Journal of Mathematics</text>
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              <text>World Scientific</text>
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              <text>2025-01-01</text>
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              <text>&lt;a href="https://doi.org/10.1142/S1793557124501389" target="_blank" rel="noreferrer noopener"&gt;https://doi.org/10.1142/S1793557124501389&lt;/a&gt;
&lt;br /&gt;&lt;br /&gt;&lt;a href="https://www.scopus.com/inward/record.uri?eid=2-s2.0-85215435703&amp;amp;doi=10.1142%2FS1793557124501389&amp;amp;partnerID=40&amp;amp;md5=309c6be037aa43c183b0f52ed376537b" target="_blank" rel="noreferrer noopener"&gt;https://www.scopus.com/inward/record.uri?eid=2-s2.0-85215435703&amp;amp;doi=10.1142%2fS1793557124501389&amp;amp;partnerID=40&amp;amp;md5=309c6be037aa43c183b0f52ed376537b&lt;/a&gt;</text>
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              <text>Restricted Access</text>
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              <text>ISSN: 17935571</text>
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              <text>Online</text>
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              <text>English</text>
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              <text>Samuel L.C., Department of Mathematics, Christ University, India; Joseph M., Department of Mathematics, Christ University, India</text>
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