On the Laplacian spread of graphs

Authors

  • You, Zhifu
  • Liu, Bolian

Abstract

Let μ1 < μ2 <⋯ < μn be the Laplacian eigenvalues of a graph. The Laplacian spread is defined as LS(G) = μ1 - μn-1. In this paper, the integral and equi-Laplacian spread of graphs are obtained. Moreover, the Laplacian spread of regular graphs are considered. Finally, we discuss the maximum Laplacian spread of graphs with given order.

Published

2013-06-09

How to Cite

You, Zhifu, & Liu, Bolian. (2013). On the Laplacian spread of graphs. Utilitas Mathematica, 91. Retrieved from https://utilitasmathematica.com/index.php/Index/article/view/964

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