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- W2382172308 abstract "For a simple graph G with vertex set {v1,v2,…,vn} and adjacency matrix A(G),the Laplacian matrix of G is L(G)=D(G)-A(G),where D(G)=(dij) is the diagonal matrix in which dii is the degree di of vi(Let d1≥d2≥…≥dn).the Laplacian matrix is of great importance in graph theory,and its spectra is an very useful algebraic tool.The hypercubes appear often as models in computer science because of the useful properties of these graphs have.In this paper,the spectra of the Laplacian matrices of hypercubes was obtained.The spectra of the Laplacian matrix of n-hypercube are [0 2 4…2n C0nC1nC2n…Cnn],where the 2t(t=0,1,2,…,n) are the eigenvalues of the Laplacian matrix of n-hypercube,and the binomial coefficients Ctn are the multiplicities of the eigenvalues 2t." @default.
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- W2382172308 date "2007-01-01" @default.
- W2382172308 modified "2023-09-26" @default.
- W2382172308 title "Spectra of Laplacian matrices of hypercubes" @default.
- W2382172308 hasPublicationYear "2007" @default.
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