Inverse Problems and Zero Forcing for Graphs

Name: Inverse Problems and Zero Forcing for Graphs
Brand: AMERICAN MATHEMATICAL SOCIETY
Price: 270.75 AUD
Availability: BackOrder

By: Leslie Hogben, Jephian C.-H. Lin, Bryan L. Shader

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Paperback | 28 January 2023

At a Glance

Paperback
286 Pages

Dimensions(cm)
25.4 x 17.78 x 1.91

Paperback

RRP $289.00

$270.75

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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.

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