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The Laplacian Eigenvalues and Invariants of Graphs

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arxiv 1407.5818 v1 pith:G2CLS6RU submitted 2014-07-22 math.CO

The Laplacian Eigenvalues and Invariants of Graphs

Rong-Ying Pan , Jing Yan , Xiao-Dong Zhang This is my paper
classification math.CO
keywords eigenvalueslaplaciangraphinvariantsadditionconditionconnectivityedge
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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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