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              <text>Extremal Trees oftheReformulated andtheEntire Zagreb Indices</text>
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              <text>First entire Zagreb index; Forgotten Zagreb index; Hyper Zagreb index first reformulated Zagreb index; Molecular graph; Second reformulated Zagreb index; Topological index</text>
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              <text>The first reformulated Zagreb index of trees can take any even positive integer greater than 8, whereas the second reformulated Zagreb index of trees can take all positive integers greater than 47 with a few exceptional values less than 8 and 47, respectively. The entire Zagreb index is defined in terms of edge degrees and incorporates the idea of intermolecular forces between atoms along with atoms and bonds. This intricate significance of studying the entire Zagreb index led to the generalization of the first entire Zagreb index of trees. The inverse problem on the first entire Zagreb of trees gives the existence of a tree for any even positive integer greater than 46.  The Author(s), under exclusive license to Springer Nature Singapore Pte Ltd 2024.</text>
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              <text>Asok A.; Kureethara J.V.</text>
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              <text>Lecture Notes in Networks and Systems, Vol-844, pp. 389-403.</text>
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              <text>&lt;a href="https://doi.org/10.1007/978-981-99-8479-4_29" target="_blank" rel="noreferrer noopener"&gt;https://doi.org/10.1007/978-981-99-8479-4_29&lt;/a&gt;
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              <text>ISSN: 23673370; ISBN: 978-981998478-7</text>
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              <text>Asok A., Christ University, Karnataka, Bengaluru, India; Kureethara J.V., Christ University, Karnataka, Bengaluru, India</text>
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