Orthogonal representations, minimum rank, and graph complements
type: Item
instance of: scholarly article
title: Orthogonal representations, minimum rank, and graph complements
zbMATH Open document ID: 1147.05049
author: Leslie Hogben
published in: Linear Algebra and its Applications
publication date: 2008-05-15T00:00:00Z
full work available at URL: https://lib.dr.iastate.edu/math_pubs/87
Mathematics Subject Classification ID: 05C50
Mathematics Subject Classification ID: 15A03
Mathematics Subject Classification ID: 15A18
zbMATH DE Number: 5275746
zbMATH Keywords: minimum rank
zbMATH Keywords: orthogonal representation
zbMATH Keywords: 2-tree
zbMATH Keywords: unicyclic graph
zbMATH Keywords: graph complement
MaRDI profile type: Publication
OpenAlex ID: W1993725206
cites work: Zero forcing sets and the minimum rank of graphs
cites work: Computation of minimal rank and path cover number for certain graphs
cites work: On the difference between the maximum multiplicity and path cover number for tree-like graphs
cites work: Graphs whose minimal rank is two
cites work: On the Minimum Rank Among Positive Semidefinite Matrices with a Given Graph
cites work: On the minimum semidefinite rank of a simple graph
cites work: The minimum rank of symmetric matrices described by a graph: a survey
cites work: Linearly independent vertices and minimum semidefinite rank
cites work: Forbidden minors for the class of graphs \(G\) with \(\xi (G) \leqslant 2\)
cites work: Graphs whose positive semi-definite matrices have nullity at most two
cites work: Unitary matrix digraphs and minimum semidefinite rank
DOI: 10.1016/J.LAA.2007.12.004
description: scientific article; zbMATH DE number 5275746