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arXiv · 1407.5818

The Laplacian Eigenvalues and Invariants of Graphs

Rong-Ying Pan·Jing Yan·Xiao-Dong Zhang
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Abstract

In this paper, we investigate some relations between the invariants (including vertex and edge connectivity and forwarding indices) of a graph and its Laplacian eigenvalues. In addition, we present a sufficient condition for the existence of Hamiltonicity in a graph involving its Laplacian eigenvalues.

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Rong-Ying Pan, Jing Yan, Xiao-Dong Zhang. 2014-07-22. The Laplacian Eigenvalues and Invariants of Graphs. https://arxiv.org/abs/1407.5818

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