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DIMINISHED DOWNHILL SOMBOR INDEX OF SOME GRAPHS.

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Title: DIMINISHED DOWNHILL SOMBOR INDEX OF SOME GRAPHS.
Authors: Sotomayor, Lohve G.1 lgsotomayor@usep.edu.ph, Rulete, Ricky F.2 ricky.rulete@usep.edu.ph
Source: Advances & Applications in Discrete Mathematics. May2026, Vol. 43 Issue 4, p515-526. 12p.
Subjects: Graph theory, Mathematical bounds, Regular graphs, Complete graphs
Abstract: A topological index is a numerical invariant of a graph, typically defined in terms of the degrees or distances of its vertices, and is widely used in QSAR and QSPR studies. In this paper, we introduce the diminished downhill Sombor index together with its exponential variant. Exact values of the proposed index are determined for regular graphs and several standard graph classes, including cycle graphs, complete graphs, path graphs, complete bipartite graphs, and star graphs. Corresponding closed-form expressions for the exponential are also derived. Furthermore, sharp upper and lower bounds for the diminished downhill Sombor index are established. [ABSTRACT FROM AUTHOR]
Copyright of Advances & Applications in Discrete Mathematics is the property of Pushpa Publishing House and its content may not be copied or emailed to multiple sites without the copyright holder's express written permission. Additionally, content may not be used with any artificial intelligence tools or machine learning technologies. However, users may print, download, or email articles for individual use. This abstract may be abridged. No warranty is given about the accuracy of the copy. Users should refer to the original published version of the material for the full abstract. (Copyright applies to all Abstracts.)
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  Data: DIMINISHED DOWNHILL SOMBOR INDEX OF SOME GRAPHS.
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  Data: <searchLink fieldCode="DE" term="%22Graph+theory%22">Graph theory</searchLink><br /><searchLink fieldCode="DE" term="%22Mathematical+bounds%22">Mathematical bounds</searchLink><br /><searchLink fieldCode="DE" term="%22Regular+graphs%22">Regular graphs</searchLink><br /><searchLink fieldCode="DE" term="%22Complete+graphs%22">Complete graphs</searchLink>
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  Data: A topological index is a numerical invariant of a graph, typically defined in terms of the degrees or distances of its vertices, and is widely used in QSAR and QSPR studies. In this paper, we introduce the diminished downhill Sombor index together with its exponential variant. Exact values of the proposed index are determined for regular graphs and several standard graph classes, including cycle graphs, complete graphs, path graphs, complete bipartite graphs, and star graphs. Corresponding closed-form expressions for the exponential are also derived. Furthermore, sharp upper and lower bounds for the diminished downhill Sombor index are established. [ABSTRACT FROM AUTHOR]
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  Group: Ab
  Data: <i>Copyright of Advances & Applications in Discrete Mathematics is the property of Pushpa Publishing House and its content may not be copied or emailed to multiple sites without the copyright holder's express written permission. Additionally, content may not be used with any artificial intelligence tools or machine learning technologies. However, users may print, download, or email articles for individual use. This abstract may be abridged. No warranty is given about the accuracy of the copy. Users should refer to the original published version of the material for the full abstract.</i> (Copyright applies to all Abstracts.)
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        Value: 10.17654/0974165826033
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        Text: English
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        PageCount: 12
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      – SubjectFull: Graph theory
        Type: general
      – SubjectFull: Mathematical bounds
        Type: general
      – SubjectFull: Regular graphs
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      – SubjectFull: Complete graphs
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      – TitleFull: DIMINISHED DOWNHILL SOMBOR INDEX OF SOME GRAPHS.
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              Text: May2026
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              Y: 2026
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