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Overview"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." Full Product DetailsAuthor: Leslie Hogben , Jephian C.-H. Lin , Bryan L. ShaderPublisher: American Mathematical Society Imprint: American Mathematical Society Weight: 0.363kg ISBN: 9781470466558ISBN 10: 1470466554 Pages: 286 Publication Date: 30 October 2022 Audience: Professional and scholarly , Professional & Vocational Format: Paperback Publisher's Status: Active Availability: In Print This item will be ordered in for you from one of our suppliers. Upon receipt, we will promptly dispatch it out to you. For in store availability, please contact us. Table of ContentsReviewsAuthor InformationLeslie 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. Tab Content 6Author Website:Countries AvailableAll regions |