Zero forcing in iterated line digraphs
Journal article
Ferrero, Daniela, Kalinowski, Thomas and Stephen, Sudeep. (2019). Zero forcing in iterated line digraphs. Discrete Applied Mathematics. 255, pp. 198-208. https://doi.org/10.1016/j.dam.2018.08.019
Authors | Ferrero, Daniela, Kalinowski, Thomas and Stephen, Sudeep |
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Abstract | Zero forcing is a propagation process on a graph, or digraph, defined in linear algebra to provide a bound for the minimum rank problem. Independently, zero forcing was introduced in physics, computer science and network science, areas where line digraphs are frequently used as models. Zero forcing is also related to power domination, a propagation process that models the monitoring of electrical power networks. In this paper we study zero forcing in iterated line digraphs and provide a relationship between zero forcing and power domination in line digraphs. In particular, for regular iterated line digraphs we determine the minimum rank/maximum nullity, zero forcing number and power domination number, and provide constructions to attain them. We conclude that regular iterated line digraphs present optimal minimum rank/maximum nullity, zero forcing number and power domination number, and apply our results to determine those parameters on some families of digraphs often used in applications. |
Keywords | minimum rank; zero forcing; power domination; iterated line digraphs |
Year | 2019 |
Journal | Discrete Applied Mathematics |
Journal citation | 255, pp. 198-208 |
Publisher | Elsevier B.V. |
ISSN | 0166-218X |
Digital Object Identifier (DOI) | https://doi.org/10.1016/j.dam.2018.08.019 |
Scopus EID | 2-s2.0-85054797696 |
Page range | 198-208 |
Publisher's version | License All rights reserved File Access Level Controlled |
Output status | Published |
Publication dates | |
Online | 17 Oct 2018 |
Publication process dates | |
Accepted | 24 Aug 2018 |
Deposited | 30 Nov 2023 |
https://acuresearchbank.acu.edu.au/item/90035/zero-forcing-in-iterated-line-digraphs
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