Abstract
We investigate the least common multiple of all subdeterminants, lcmd(A ⊗ B), of a Kronecker product of matrices, of which one is an integral matrix A with two columns and the other is the incidence matrix of a complete graph with n vertices. 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.
Acknowledgements
The authors would like to thank an anonymous referee whose suggestions greatly improved the readability of our article.