TY - JOUR

T1 - Superboolean rank and the size of the largest triangular submatrix of a random matrix

AU - Izhakian, Zur

AU - Janson, Svante

AU - Rhodes, John

N1 - Publisher Copyright:
© 2014 American Mathematical Society.

PY - 2015/1/1

Y1 - 2015/1/1

N2 - 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 special attention.

AB - 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 special attention.

UR - http://www.scopus.com/inward/record.url?scp=84924769458&partnerID=8YFLogxK

U2 - 10.1090/s0002-9939-2014-12301-x

DO - 10.1090/s0002-9939-2014-12301-x

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AN - SCOPUS:84924769458

SN - 0002-9939

VL - 143

SP - 407

EP - 418

JO - Proceedings of the American Mathematical Society

JF - Proceedings of the American Mathematical Society

IS - 1

ER -