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A. Jahanbani

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Open access Aug 2026

A Degree-Based Spectral Radius Conjecture Refuted: The Second Zagreb Matrix of Unicyclic Graphs

A conjecture in [MATCH Commun. Math. Comput. Chem. 89 (2023) 513–530] states that for any unicyclic graph G of order n ≥3, the spectral radius of any degree–based matrix (i.e., a matrix whose entries are functions of vertex degrees) lies between ρ(Cn) and ρ(S+ 3), where S+ 3 denotes the unicyclic graph obtained by atta...

An Jiang, Xue-Wu Zuo, Gen-Jie Wang et al. · 0 citations
Open access Aug 2026

On the Degree-Ratio Sombor Index: Corrections and New Bounds

The degree-ratio Sombor index (DRSO) is a recently introduced geometric degree-based topological invariant. First, we correct an erroneous lower bound involving the Sombor index and rectify the characterization of extremal graphs from the original work on this index [11]. Subsequently, we investigate the relationship b...

Zhou-Jian Shao, A. Jahanbani · 0 citations

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