A Unified Majorization Approach to Extremal General Zeroth-Order Randić Indices

Mathematics 2026 Open access

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Authors: Darko Dimitrov
DOI: 10.3390/math14142565
Cited by: 1
References: 15

Abstract

The general zeroth-order Randić index Rα0(G)=∑v∈Vd(v)α (α≠0,1) unifies several classical indices, including the first Zagreb (α=2), forgotten (α=3), and inverse degree (α=−1) indices. We characterize the connected graphs that attain extremal Rα0 values for most parameter regimes. Nested stars maximize for α≥2, quasi-stars for α

Fields of Study & Subjects

Graph theory and applications Complex Network Analysis Techniques Commutative Algebra and Its Applications

Publication details

Journal / source
Mathematics
Publisher
MDPI AG
Volume
14
Issue
14
Pages
2565–2565
Publication date
16 July 2026
Language
EN