Product Throttling

Date
2021-02-09
Authors
Anderson, Sarah
Collins, Karen
Hogben, Leslie
Ferrero, Daniela
Hogben, Leslie
Mayer, Carolyn
Trenk, Ann
Walker, Shanise
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Mathematics
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Mathematics
Abstract

Throttling addresses the question of minimizing the sum or the product of the resources used to accomplish a task and the time needed to complete that task for various graph searching processes. Graph parameters of interest include various types of zero forcing, power domination, and Cops and Robbers.

The resources used to accomplish a task can be blue vertices in zero forcing, Phasor Measurement Units (PMUs) in power domination, or cops in Cops and Robbers. The time is the number of rounds needed to complete the process (the propagation time or capture time).

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This is a pre-print of a book chapter published as Anderson, Sarah E., Karen L. Collins, Daniela Ferrero, Leslie Hogben, Carolyn Mayer, Ann N. Trenk, and Shanise Walker. "Product Throttling." https://arxiv.org/abs/2012.12807v2 (2021). Posted with permission.

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