Inverse problems and zero forcing for graphs / Leslie Hogben, Jephian C.-H. Lin, Bryan L. Shader.
"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...
Uniform Title: | Mathematical surveys and monographs ;
v. 270. |
---|---|
Main Authors: | |
Language: | English |
Published: |
Providence, Rhode Island :
American Mathematical Society,
[2022]
|
Series: | Mathematical surveys and monographs ;
v. 270. |
Subjects: | |
Physical Description: | xi, 287 pages : illustrations ; 26 cm. |
Format: | Book |
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." -- Page 4 of cover. |
---|---|
Call Number: | QA1 .M286 v.270 |
Bibliography Note: | Includes bibliographical references (pages 269-279) and index. |
ISBN: | 9781470466558 1470466554 |
ISSN: | 0076-5376 ; |