Inverse Problems and Zero Forcing for Graphs PDF
by Leslie Hogben
Description
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.
Information
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Download - Immediately Available
- Format:PDF
- Pages:287 pages
- Publisher:American Mathematical Society
- Publication Date:07/12/2022
- Category:
- ISBN:9781470471378
Other Formats
- Paperback / softback from £109.00
Information
-
Download - Immediately Available
- Format:PDF
- Pages:287 pages
- Publisher:American Mathematical Society
- Publication Date:07/12/2022
- Category:
- ISBN:9781470471378