Xue-Wu Zuo

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...