The Minimum Rank of Sign Pattern Matrices with a 1-Separation

Author

Wenyan Zhou, Georgia State UniversityFollow

Date of Award

Summer 8-3-2013

Degree Type

Thesis

Degree Name

Master of Science (MS)

Department

Mathematics and Statistics

First Advisor

Marina Arav

Second Advisor

Hein van der Holst

Abstract

Given a sign pattern matrix M composed of two sub-patterns A and B connected by a 1-separation, we provide a formula that relates the minimum rank of M to the minimum rank of some small variations of A and B.

DOI

https://doi.org/10.57709/4327589

Recommended Citation

Zhou, Wenyan, "The Minimum Rank of Sign Pattern Matrices with a 1-Separation." Thesis, Georgia State University, 2013.
doi: https://doi.org/10.57709/4327589