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Power domination in graphs

Paul Dorbec 1, 2
1 Equipe AMACC - Laboratoire GREYC - UMR6072
GREYC - Groupe de Recherche en Informatique, Image, Automatique et Instrumentation de Caen
Abstract : In this chapter, we are interested in power domination in graphs. Power domination is a variation of domination introduced to address a physical problem of monitoring a network with phasor measurement units. The originality of this variation is that some propagation happens, and the set of covered vertices results from an iterative process. We present a survey of known results on this specific parameter.
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Contributor : Paul Dorbec <>
Submitted on : Wednesday, December 16, 2020 - 11:42:59 AM
Last modification on : Friday, January 8, 2021 - 3:35:25 AM
Long-term archiving on: : Wednesday, March 17, 2021 - 6:59:35 PM


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Paul Dorbec. Power domination in graphs. Topics in Domination in Graphs, 2020, 978-3-030-51117-3. ⟨10.1007/978-3-030-51117-3_16⟩. ⟨hal-03073783⟩



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