Zero Forcing in Graphs and Digraphs
Author | : Esther Dawn Conrad |
Publisher | : |
Total Pages | : 88 |
Release | : 2018 |
Genre | : Graph theory |
ISBN | : |
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Author | : Esther Dawn Conrad |
Publisher | : |
Total Pages | : 88 |
Release | : 2018 |
Genre | : Graph theory |
ISBN | : |
Author | : Leslie Hogben |
Publisher | : American Mathematical Society |
Total Pages | : 302 |
Release | : 2022-07-21 |
Genre | : Mathematics |
ISBN | : 1470466554 |
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 | : Fatemeh Alinaghipour Taklimi |
Publisher | : |
Total Pages | : |
Release | : 2014 |
Genre | : |
ISBN | : |
Author | : Ljiljana Brankovic |
Publisher | : Springer |
Total Pages | : 430 |
Release | : 2018-04-19 |
Genre | : Computers |
ISBN | : 3319788256 |
This book constitutes the refereed post-conference proceedings of the 28th International Workshopon Combinatorial Algorithms, IWOCA 2017, held in Newcastle, NSW, Australia, in July 2017.The 30 regular papers presented in this volume together with 5 invited talks were carefully reviewed and selected from 55 submissions. They were organized in topical sessions named: approximation algorithms and hardness; computational complexity; computational geometry; graphs and combinatorics; graph colourings, labellings and power domination; heuristics; mixed integer programming; polynomial algorithms; privacy; and string algorithms.
Author | : Randy R. Davila |
Publisher | : |
Total Pages | : 196 |
Release | : 2019 |
Genre | : Graphic methods |
ISBN | : |
Author | : Zhao Zhang |
Publisher | : Springer |
Total Pages | : 776 |
Release | : 2014-11-13 |
Genre | : Computers |
ISBN | : 3319126911 |
This book constitutes the refereed proceedings of the 8th International Conference on Combinatorial Optimization and Applications, COCOA 2014, held on the island of Maui, Hawaii, USA, in December 2014. The 56 full papers included in the book were carefully reviewed and selected from 133 submissions. Topics covered include classic combinatorial optimization; geometric optimization; network optimization; optimization in graphs; applied optimization; CSoNet; and complexity, cryptography, and games.
Author | : Frederick Hoffman |
Publisher | : Springer Nature |
Total Pages | : 491 |
Release | : |
Genre | : |
ISBN | : 3031529693 |
Author | : Peter Collier |
Publisher | : |
Total Pages | : 0 |
Release | : 2023 |
Genre | : |
ISBN | : |
Zero forcing is a graph infection process where a colour change rule is applied iteratively to a graph and an initial set of vertices, S. If S results in the entire graph becoming infected, we call this set a zero forcing set. The size of the smallest zero forcing set for a graph, G, is called the zero forcing number of G. We study subgraphs of proper interval graphs to determine how the removal of edges affects the zero forcing number of these graphs. We, then, compare the zero forcing number of twisted hypercubes to that of the same size hypercube, and determine that twisted hypercubes have smaller zero forcing number. Finally, we turn our attention to probabilistic zero forcing, a variant on zero forcing, and show that there are graphs who become forced faster when initiating the process from vertices that are outside the center of the graph.
Author | : Leslie Hogben |
Publisher | : CRC Press |
Total Pages | : 1838 |
Release | : 2013-11-26 |
Genre | : Mathematics |
ISBN | : 1466507292 |
With a substantial amount of new material, the Handbook of Linear Algebra, Second Edition provides comprehensive coverage of linear algebra concepts, applications, and computational software packages in an easy-to-use format. It guides you from the very elementary aspects of the subject to the frontiers of current research. Along with revisions and
Author | : Darren Daniel Row |
Publisher | : |
Total Pages | : 51 |
Release | : 2011 |
Genre | : |
ISBN | : |