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                <text>Faculty Publications</text>
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    <name>Article</name>
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          <name>Creator</name>
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              <text>Cherian, Merin; Mangam, Tabitha Agnes</text>
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              <text>Introduction to connecting coalitions</text>
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              <text>01-01-2025</text>
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              <text>Discrete Mathematics, Algorithms and Applications;Issue;;Article No.;2550158;</text>
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              <text>&lt;a href="https://doi.org/10.1142/S1793830925501587" target="_blank" rel="noreferrer noopener"&gt;https://doi.org/10.1142/S1793830925501587&lt;/a&gt; &lt;br /&gt;&lt;br /&gt;&lt;a href="https://www.scopus.com/pages/publications/105022625275?origin=resultslist" target="_blank" rel="noreferrer noopener"&gt;https://www.scopus.com/pages/publications/105022625275?origin=resultslist&lt;/a&gt;</text>
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              <text>Cherian M., Department of Mathematics, Christ (Deemed to be University), Karnataka, Bengaluru, India; Mangam T.A., Department of Mathematics, Christ (Deemed to be University), Karnataka, Bengaluru, India</text>
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              <text>A connecting coalition in a graph G(V;E) consists of two disjoint vertex subsets V1 and V2 of V (G), where neither G[V1] nor G[V2] is a connected graph but G[V1 [V2] is a con- nected graph. A connecting coalition partition is a vertex partition ? = fV1; V2; : : : ; Vkg, and the maximum cardinality of all possible ? is called the connecting coalition number, ?(G). Some bounds on the coalition number ?(G) are found, and graphs having ?(G) = 2 are characterized. Further, the existence of connecting coalition partitions in graphs is explored.  2025 World Scientific Publishing Company.</text>
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              <text>coalition partition; Connected graphs; induced subgraphs</text>
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              <text>World Scientific</text>
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              <text>ISSN: 17938309;</text>
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              <text>Restricted Access; Hardcopy may be available in the library</text>
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