1# Library to Find Best eBook for Read
Author : Randy R. Davila
Release : 2019
Genre : Graphic methods
Kind : eBook
Book Rating : /5 ( reviews)
Book Synopsis Total and Zero Forcing in Graphs by : Randy R. Davila
Download or read book Total and Zero Forcing in Graphs written by Randy R. Davila. This book was released on 2019. Available in PDF, EPUB and Kindle. Book excerpt:
Author : Leslie Hogben
Release : 2022-07-21
Genre : Mathematics
Kind : eBook
Book Rating : 554/5 ( reviews)
Book Synopsis Inverse Problems and Zero Forcing for Graphs by : Leslie Hogben
Download or read book Inverse Problems and Zero Forcing for Graphs written by Leslie Hogben. This book was released on 2022-07-21. Available in PDF, EPUB and Kindle. Book excerpt: 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.
Author : Nora Hartsfield
Release : 2013-04-15
Genre : Mathematics
Kind : eBook
Book Rating : 525/5 ( reviews)
Book Synopsis Pearls in Graph Theory by : Nora Hartsfield
Download or read book Pearls in Graph Theory written by Nora Hartsfield. This book was released on 2013-04-15. Available in PDF, EPUB and Kindle. Book excerpt: Stimulating and accessible, this undergraduate-level text covers basic graph theory, colorings of graphs, circuits and cycles, labeling graphs, drawings of graphs, measurements of closeness to planarity, graphs on surfaces, and applications and algorithms. 1994 edition.
Author : TeresaW. Haynes
Release : 2017-11-22
Genre : Mathematics
Kind : eBook
Book Rating : 641/5 ( reviews)
Book Synopsis Domination in Graphs by : TeresaW. Haynes
Download or read book Domination in Graphs written by TeresaW. Haynes. This book was released on 2017-11-22. Available in PDF, EPUB and Kindle. Book excerpt: ""Presents the latest in graph domination by leading researchers from around the world-furnishing known results, open research problems, and proof techniques. Maintains standardized terminology and notation throughout for greater accessibility. Covers recent developments in domination in graphs and digraphs, dominating functions, combinatorial problems on chessboards, and more.
Author : Mason Willman
Release : 2024
Genre :
Kind : eBook
Book Rating : /5 ( reviews)
Book Synopsis Full Information Model by : Mason Willman
Download or read book Full Information Model written by Mason Willman. This book was released on 2024. Available in PDF, EPUB and Kindle. Book excerpt: Zero forcing is a coloring game on a graph where gray vertices can force their white neighbors based on a color change rule. A set of initial vertices is colored gray and, by a color change rule, iteratively force neighboring white vertices until only gray vertices are left. A zero forcing set is the set of initially colored vertices that force the entire graph to become gray. The zero forcing number is the minimum cardinality of the zero forcing set. Related graph parameters, such as propagation time and throttling number, provide additional information on the zero forcing game. Despite this, an integer programming model that can calculate the zero forcing number and all related graph parameters has yet to be developed. Therefore, we present a full information model that stores all information regarding the game of zero forcing. Furthermore, we prove that our model can compute optimal solutions for the zero forcing number, minimum propagation time, maximum propagation time, and throttling number. We motivate its formulation through analysis of related integer programming models and numerical experiments showcasing its computational efficiency on all isomorphic graphs of orders 3-8.
