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1. Semiregular trees with minimal Laplacian spectral radius

Author

Bıyıkoğlu, Türker and Leydold, Josef

Subjects
*TREE graphs, *SPECTRAL theory, *MATRICES (Mathematics), *EIGENVALUES, *GRAPH theory, *LAPLACIAN operator, *RADIUS (Geometry), *MATHEMATICAL analysis
Abstract

Abstract: A semiregular tree is a tree where all non-pendant vertices have the same degree. Among all semiregular trees with fixed order and degree, a graph with minimal (adjacency/Laplacian) spectral radius is a caterpillar. Counter examples show that the result cannot be generalized to the class of trees with a given (non-constant) degree sequence. [Copyright &y& Elsevier]

Published
2010
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