Infinite families of trees with equal spectral radius

Examples and Counterexamples（2024）

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摘要

In this note we show that for each positive integer a⩾2 there exist infinitely many trees whose spectral radius is equal to 2a. Such trees are obtained by replacing the central edge of the double star S(a,2a−2) with suitable bidegreed caterpillars.

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关键词

Graph,Adjacency matrix,Spectral radius

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