The Laplacian Eigenvalues and Invariants of Graphs
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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