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What is Combinatorial Matrix Theory Overview about?

This document discusses combinatorial matrix theory and focuses on minimum rank problems and matrix completion problems. It introduces graph terminology and describes how graphs can be associated with matrices. It examines using graphs to study the minimum possible rank of a matrix based on its sign pattern or based on being the matrix of a simple graph or tree. Algorithms are provided for computing the minimum rank of a tree based on its structure.

Author

valstav

Language

EN