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

Zur Izhakian; Svante Janson; John Rhodes

doi:10.1090/S0002-9939-2014-12301-X

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

Zur Izhakian, Svante Janson, John Rhodes

Mathematical Science

Research output: Contribution to journal › Article › peer-review

2 Citations (Scopus)

Abstract

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.

Original language	English
Pages (from-to)	407-418
Number of pages	12
Journal	Proceedings of the American Mathematical Society
Volume	143
Issue number	1
Early online date	15 Sept 2014
DOIs	https://doi.org/10.1090/S0002-9939-2014-12301-X
Publication status	Published - Jan 2015

Bibliographical note

The research of the first author was supported by the Israel Science Foundation (ISF grant No. 448/09) and by the Oberwolfach Leibniz Fellows Programme (OWLF), Mathematisches Forschungsinstitut Oberwolfach, Germany.

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https://arxiv.org/abs/1109.5503Licence: Unspecified

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

Abstract

Bibliographical note

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