Inverse Problems and Zero Forcing for Graphs (Paperback)

This book provides an introduction to the inverse eigenvalue problem for graphs (IEP-$G$) and the related area of zero forcing, propagation, and throttling. The IEP-$G$ grew from the intersection of linear algebra and combinatorics and has given rise to both a rich set of deep problems in that area as well as a breadth of ""ancillary'' problems in related areas. The IEP-$G$ asks a fundamental mathematical question expressed in terms of linear algebra and graph theory, but the significance of such questions goes beyond these two areas, as particular instances of the IEP-$G$ also appear as major research problems in other fields of mathematics, sciences and engineering. One approach to the IEP-$G$ is through rank minimization, a relevant problem in itself and with a large number of applications. During the past 10 years, important developments on the rank minimization problem, particularly in relation to zero forcing, have led to significant advances in the IEP-$G$. The monograph serves as an entry point and valuable resource that will stimulate future developments in this active and mathematically diverse research area.

General

Imprint:	American Mathematical Society
Country of origin:	United States
Series:	Mathematical Surveys and Monographs
Release date:	September 2022
Authors:	Leslie Hogben • Jephian C.-H. Lin • Bryan L. Shader
Dimensions:	254 x 178 x 18mm (L x W x T)
Format:	Paperback
Pages:	286
ISBN-13:	978-1-4704-6655-8
Categories:	Books > Science & Mathematics > Mathematics > Combinatorics & graph theory
LSN:	1-4704-6655-4
Barcode:	9781470466558

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