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Inverse problems and zero forcing for graphs / Leslie Hogben, Jephian C.-H. Lin, Bryan L. Shader

Author
Hogben, Leslie
Published
Providence, Rhode Island : American Mathematical Society, [2022]
Copyright Date
©2022
Physical Description
xi, 287 pages : illustrations ; 26 cm.
Additional Creators
Lin, Jephian C.-H. (Jephian Chin-Hung), 1986- and Shader, Bryan L.

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Series
Contents
Introduction to and motivation for the IEP-G -- Zero forcing and maximum eigenvalue multiplicity -- Implicit function theorem and strong properties -- Consequences of the strong properties -- Theoretical underpinnings of the strong properties -- Ordered multiplicity lists of a graph -- Rigid linkages -- Minimum number of distinct eigenvalues -- Zero forcing, variants, and related parameters -- Propagation time and capture time -- Throttling.
Summary
"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." --
Subject(s)
ISBN
9781470466558 paperback
1470466554 paperback
Bibliography Note
Includes bibliographical references (pages 269-279) and index.
View MARC record | catkey: 40540559