Campus Units

Mathematics

Document Type

Article

Publication Version

Submitted Manuscript

Publication Date

12-3-2020

Journal or Book Title

arXiv

Abstract

The product power throttling number of a graph is defined to study product throttling for power domination. The domination number of a graph is an upper bound for its product power throttling number. It is established that the two parameters are equal for certain families including paths, cycles, complete graphs, unit interval graphs, and grid graphs (on the plane, cylinder, and torus). Families of graphs for which the product power throttling number is less than the domination number are also exhibited. Graphs with extremely high or low product power throttling number are characterized and bounds on the product power throttling number are established.

Comments

This is a pre-print of the article Anderson, Sarah E., Karen L. Collins, Daniela Ferrero, Leslie Hogben, Carolyn Mayer, Ann N. Trenk, and Shanise Walker. "Product throttling for power domination." arXiv preprint arXiv:2010.16315 (2020). Posted with permission.

Copyright Owner

The Author(s)

Language

en

File Format

application/pdf

Published Version

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