Laplacian Perfect State Transfer in Subdivision Graph
The subdivision graph S(G)of a graph is obtained by inserting a new vertex into each edge of G.In this paper,we investigate theexistence of Laplacian perfect state transfer in the subdivision graph S(G)of an r-regular graph,with r ≥ 2.We prove that if r+1 is not a Laplacian eigenvalue of an r-regular graph G,then there is no Laplacian perfect state transfer in S(G).
subdivision graphLaplacian eigenvalueLaplacian perfect state transfer
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维普
