Superboolean rank and the size of the largest triangular submatrix of a random matrix

Details Superboolean rank and the size of the largest triangular submatrix of a random matrix Superboolean rank and the size of the largest triangular submatrix of a random matrix

2011-09-26

arxiv.org/abs/1109.5503v1

Mathematics

Rings and Algebras

11 pages

Scientific paper

We explore the size of the largest (permuted) triangular submatrix of a random matrix, and more precisely its asymptotical behavior as the size of the ambient matrix tends to infinity. The importance of such permuted triangular submatrices arises when dealing with certain combinatorial algebraic settings in which these submatrices determine the rank of the ambient matrix, and thus attract a special attention.

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