Inverse Problems and Zero Forcing for Graphs - Couverture souple

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

Couverture souple

ISBN 10 : 1470466554 ISBN 13 : 9781470466558

Editeur : American Mathematical Society, 2022

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.

A propos du livre

À propos de l?auteur

Leslie Hogben, Iowa State University, Ames, IA, and American Institute of Mathematics, San Jose, CA.

Jephian C.-H. Lin, National Sun Yat-sen University, Kaohsiung, Taiwan.

Bryan L. Shader, University of Wyoming, Laramie, WY.

Détails de l'édition

• Éditeur: American Mathematical Society
• Date d'édition: 2022
• Langue: anglais
• ISBN 10: 1470466554
• ISBN 13: 9781470466558
• Reliure: Broché
• Nombre de pages: 286
• Coordonnées du fabricant: non disponible
• Personne responsable: non disponible