Bibliographic Details
| 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] |
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| Database: |
Engineering Source |
