Campus Units

Mathematics, Electrical and Computer Engineering

Document Type

Report

Conference

Banff International Research Station: The Inverse Eigenvalue Problem of a Graph

Publication Version

Published Version

Link to Published Version

http://www.birs.ca/events/2016/focussed-research-groups/16frg677

Publication Date

2016

Conference Title

Banff International Research Station: The Inverse Eigenvalue Problem of a Graph

Conference Date

June 5-12, 2016

City

Banff, Alberta, CA

Abstract

Inverse eigenvalue problems appear in various contexts throughout mathematics and engineering, and refer to determining all possible lists of eigenvalues (spectra) for matrices fitting some description. The inverse eigenvalue problem of a graph refers to determining the possible spectra of real symmetric matrices whose pattern of nonzero off-diagonal entries is described by the edges of a given graph (precise definitions of this and other terms are given in the next paragraph). This problem and related variants have been of interest for many years and were originally approached through the study of ordered multiplicity lists.

Comments

This report resulted from the Banff International Research Station Focused Research Groups and is published as Barrett, Wayne, Steve Butler, Shaun Fallat, H. Tracy Hall, Leslie Hogben, Jephian CH Lin, Bryan Shader, and Michael Young. "The inverse eigenvalue problem of a graph." Banff International Research Station: The Inverse Eigenvalue Problem of a Graph, 2016. Posted with permission.

Copyright Owner

Banff International Research Station

Language

en

File Format

application/pdf

Published Version

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Article Location

 
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