Some inequalities of reformulated and entire Inf-Sombor index

., Jalappa; S H, Manohar; H S, Boregowda

doi:10.22098/jhs.2025.16439.1067

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	Some inequalities of reformulated and entire Inf-Sombor index
Journal of Hyperstructures
دوره 14، شماره 1، 2025، صفحه 79-92 اصل مقاله (2.62 M)
نوع مقاله: Research Paper
شناسه دیجیتال (DOI): 10.22098/jhs.2025.16439.1067
نویسندگان
Jalappa .¹؛ Manohar S H²؛ Boregowda H S^* ³
¹Department of Studies and Research in Mathematics, Tumkur University, Tumakuru, India
²Department of Studies and Research in Mathematics, Tumkur University, Jnanasiri campus, Bidarakatte, India
³Department of Studies and Research in Mathematics, Tumkur University, Jnanasiri campus, Bidarakatte, India.
چکیده
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.
کلیدواژه‌ها
Platt number؛ Inf Sombor index؛ Reformulated Inf Sombor index؛ Entire Inf Sombor index

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Some inequalities of reformulated and entire Inf-Sombor index