We investigate the least common multiple of all subdeterminants, lcmd(A x B),of a Kronecker product of matrices, of which one is an integral matrix A withtwo columns and the other is the incidence matrix of a complete graph with nvertices. We prove that this quantity is the least common multiple of lcmd(A)to the power n-1 and certain binomial functions of the entries of A.
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机译:我们研究矩阵的Kronecker乘积的所有子行列式lcmd(A x B)的最小公倍数,其中一个是具有两列的积分矩阵A,另一个是具有nvertices的完整图的入射矩阵。我们证明该数量是lcmd(A)的最小公倍数,即幂n-1和A项的某些二项式函数。
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