Bienvenidos(as) al DMCC | Departamento de Matemática y Ciencia de la Computación

Lower bound for the spectral radius of the starlike trees

A tree is a connected acyclic graph. A tree is called a starlike if exactly one of its vertices has degree greater than two. Let λ1 be the largest eigenvalue of the adjacency matrix of a starlike tree. In this work, we obtain a lower bound for the spectral radius of a starlike tree. This bound only depends of the maximum degree of the vertices.


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