On large ABC spectral radii of unicyclic graphs

Abstract The ABC spectral radius of a graph G is the largest eigenvalue of the ABC matrix of G , whose ( u , v ) -entry is d u + d v − 2 d u d v if u v ∈ E ( G ) and 0 otherwise for u , v ∈ V ( G ) , where d u denotes the degree of u in G , and V ( G ) ( E ( G ) , respectively) denotes the vertex (edge, respectively) set of G . The unicyclic graphs with the first four largest ABC spectral radii are determined.

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