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8. Determinants in the Kronecker product of matrices: The incidence matrix of a complete graph
Christopher Hanusa and Thomas Zaslavsky. Accepted for publication in Linear and Multilinear Algebra, 2009. Available for download in pdf. Abstract: We investigate the least common multiple of all subdeterminants (lcmd) of a Kronecker product of matrices, of which one is the incidence matrix of a complete graph and the other is an integral matrix A with two columns. We prove that this quantity is the least common multiple of lcmd(A) to the power n-1 and certain binomials in the entries of A. No supplementary materials.
Christopher Hanusa's home page. Queens College – Mathematics Department |