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Maximizing the Index of Trees with Given Domination Number

Published online by Cambridge University Press:  20 November 2018

Guangquan Guo  and
Guoping Wang
Guangquan Guo
Affiliation:
School of Mathematical Sciences, Xinjiang Normal University, Urumqi, Xinjiang 830054, P.R.China e-mail: xj.wgp@163.com
Guoping Wang*
Affiliation:
School of Mathematical Sciences, Xinjiang Normal University, Urumqi, Xinjiang 830054, P.R.China e-mail: xj.wgp@163.com
*
G.Wang is the corresponding author.
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Abstract

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The index of a graph $G$ is the maximum eigenvalue of its adjacency matrix $A\left( G \right)$. In this paper we characterize the extremal tree with given domination number that attains the maximum index.

Keywords

05C50treesspectral radiusindexdomination number
Type
Research Article
Information
Canadian Mathematical Bulletin , Volume 57 , Issue 3 , 01 September 2014 , pp. 520 - 525
Copyright
Copyright © Canadian Mathematical Society 2014

Footnotes

This work is supported by NSFXJ (No. 2012211A058).

References

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