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Inverse Problems and Zero Forcing for Graphs

Inverse Problems and Zero Forcing for Graphs - Mathematical Surveys and Monographs

Paperback (30 Oct 2022)

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Publisher's Synopsis

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.

Book information

ISBN: 9781470466558
Publisher: American Mathematical Society
Imprint: American Mathematical Society
Pub date:
DEWEY: 511.5
DEWEY edition: 23/eng20220722
Language: English
Number of pages: 286
Weight: 544g
Height: 180mm
Width: 264mm
Spine width: 18mm