The Spectral Radius for a Class of Double-Star-Like Tree Systems with Maximal Degree 4

Yufeng Mao, Meijin Xu, Xiaodong Chen, Yan-Jun Liu and Kai Li

Mathematical Problems in Engineering, 2015, vol. 2015, 1-6

Abstract:

We mainly study the properties of the 4-double-star-like tree, which is the generalization of star-like trees. Firstly we use graft transformation method to obtain the maximal and minimum extremal graphs of 4-double-star-like trees. Secondly, by the relations between the degree and second degree of vertices in maximal extremal graphs of 4-double-star-like trees we get the upper bounds of spectral radius of 4-double-star-like trees.

Date: 2015
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Persistent link: https://EconPapers.repec.org/RePEc:hin:jnlmpe:529024

DOI: 10.1155/2015/529024

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