On the graph complement conjecture for minimum rank-Reference-Cited by-同舟云学术

On the graph complement conjecture for minimum rank

Published:2012-06 Issue:12 Volume:436 Page:4373-4391
ISSN:0024-3795
Container-title:Linear Algebra and its Applications
language:en
Short-container-title:Linear Algebra and its Applications

Author:

Barioli Francesco,Barrett Wayne,Fallat Shaun M.,Tracy Hall H.,Hogben Leslie,van der Holst Hein

Publisher

Elsevier BV

Subject

Discrete Mathematics and Combinatorics,Geometry and Topology,Numerical Analysis,Algebra and Number Theory

Reference23 articles.

1. On the Nordhaus–Gaddum class problems;Achuthan;Australas. J. Combin.,1990

2. American Institute of Mathematics Workshop, Spectra of Families of Matrices described by Graphs, Digraphs, and Sign Patterns, Palo Alto, CA, October 23–27, 2006. Workshop webpage: http: .

3. Zero forcing sets and the minimum rank of graphs;Barioli;Linear Algebra Appl.,2008

4. On the minimum rank of the join of graphs and decomposable graphs;Barioli;Linear Algebra Appl.,2007

5. A variant on the graph parameters of Colin de Verdière: implications to the minimum rank of graphs;Barioli;Electron. J. Linear Algebra,2005

Cited by 17 articles. 订阅此论文施引文献订阅此论文施引文献，注册后可以免费订阅5篇论文的施引文献，订阅后可以查看论文全部施引文献

1. Complementary vanishing graphs;Linear Algebra and its Applications;2024-07

2. Computational and Theoretical Challenges for Computing the Minimum Rank of a Graph;INFORMS Journal on Computing;2022-11

3. Graph complement conjecture for classes of shadow graphs;Operators and Matrices;2021

4. The Colin de Verdière Number and Joins of Graphs;Discrete & Computational Geometry;2020-04-26

5. A Nordhaus–Gaddum conjecture for the minimum number of distinct eigenvalues of a graph;Linear Algebra and its Applications;2019-03