Campus Units

Mathematics

Document Type

Article

Publication Version

Accepted Manuscript

Publication Date

7-2010

Journal or Book Title

Linear Algebra and its Applications

Volume

433

DOI

10.1016/j.laa.2010.01.036

Abstract

We investigate the expected value of various graph parameters associated with the minimum rank of a graph, including minimum rank/maximum nullity and related Colin de Verdière-type parameters. Let G(v,p) denote the usual Erdős-Rényi random graph on v vertices with edge probability p. We obtain bounds for the expected value of the random variables mr(G(v,p)), M(G(v,p)), ν(G(v,p)) and ξ(G(v,p)), which yield bounds on the average values of these parameters over all labeled graphs of order v.

Comments

This is a manuscript of an article from Linear Algebra and its Applications 433 (2010): 401, doi:10.1016/j.laa.2010.01.036. Posted with permission.

Rights

This manuscript version is made available under the CCBY- NC-ND 4.0 license http://creativecommons.org/licenses/by-nc-nd/4.0/

Copyright Owner

Elsevier Inc.

Language

en

File Format

application/pdf

Published Version

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