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1. ORDERING CACTI WITH n VERTICES AND κ CYCLES BY THEIR LAPLACIAN SPECTRAL RADII.

Author

Shu-Guang Guo and Yan-Feng Wang

Subjects
*LAPLACIAN matrices, *GRAPHIC methods, *LINEAR orderings, *SPECTRAL geometry, *RADIUS (Geometry), *PATHS & cycles in graph theory, *MATHEMATICS
Abstract

A graph is a cactus if any two of its cycles have at most one common vertex. In this paper, we determine the first sixteen largest Laplacian spectral radii together with the corresponding graphs among all connected cacti with n vertices and k cycles, where n ≥ 2ρ + 8. [ABSTRACT FROM AUTHOR]

Published
2012
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