Some inequalities of reformulated and entire Inf-Sombor index

The concept of the Sombor index was extended by Reti et. al. [1] by introducing a pSombor index which can be seen as the p norm of the vector x = (d(u), d(v)) as p → ∞, ∥x∥∞ = max{d(u), d(v)}. Inspired by this, we defined indices namely, Reformulated Inf- Sombor index, Entire Inf-Sombor index, and K...

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Bibliographic Details
Main Authors: Jalappa ., Manohar S H, Boregowda H S
Format: Article
Language:English
Published: University of Mohaghegh Ardabili 2025-06-01
Series:Journal of Hyperstructures
Subjects:
Online Access:https://jhs.uma.ac.ir/article_3841_68449ac26ac0e019d85808776d7c3236.pdf
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Summary:The concept of the Sombor index was extended by Reti et. al. [1] by introducing a pSombor index which can be seen as the p norm of the vector x = (d(u), d(v)) as p → ∞, ∥x∥∞ = max{d(u), d(v)}. Inspired by this, we defined indices namely, Reformulated Inf- Sombor index, Entire Inf-Sombor index, and KG Inf-Sombor index. Also, we present lower and upper bounds by using some graph parameters and obtain exact values of these new topological indices in some graph families. Further, we evaluated the statistical behavior of these indices after computing index values for different types of dendrimers for various growth values k.
ISSN:2251-8436
2322-1666