Inverse of the distance matrix of a block graph
نویسندگان
چکیده
Graham et al. [3] proved a very attractive theorem about the determinant of the distance matrix DG of a connected graph G as a function of the distance matrix of its 2-connected blocks. In a connected graph, the distance between two vertices d(u, v) is the length of the shortest path between them. Let A be an n n matrix. Recall that for 1 i, j n, the cofactor ci,j is defined as ( 1) iþj times the determinant of the submatrix obtained by deleting row i and column j of A. For a matrix A, let #(A)1⁄4 P
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تاریخ انتشار 2012