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Power domination and resolving power domination of fractal cubic network
In network theory, the domination parameter is vital in investigating several structural
features of the networks, including connectedness, their tendency to form clusters …
features of the networks, including connectedness, their tendency to form clusters …
Optimal PMU placement problem in octahedral networks
Power utilities must track their power networks to respond to changing demand and
availability conditions to ensure effective and efficient operation. As a result, several power …
availability conditions to ensure effective and efficient operation. As a result, several power …
Domination of subcubic planar graphs with large girth
Since Reed conjectured in 1996 that the domination number of a connected cubic graph of
order $ n $ is at most $\lceil\frac13 n\rceil $, the domination number of cubic graphs has …
order $ n $ is at most $\lceil\frac13 n\rceil $, the domination number of cubic graphs has …
Power domination in graphs
P Dorbec - Topics in Domination in Graphs, 2020 - Springer
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 …
variation of domination introduced to address a physical problem of monitoring a network …
Paired and semipaired domination in triangulations
A dominating set of a graph $ G $ is a subset $ D $ of vertices such that every vertex not in $
D $ is adjacent to at least one vertex in $ D $. A dominating set $ D $ is paired if the …
D $ is adjacent to at least one vertex in $ D $. A dominating set $ D $ is paired if the …
Paired and semipaired domination in near-triangulations
MC Hernando Martín, M Claverol Aguas… - 2022 - upcommons.upc.edu
A dominating set of a graph G is a subset D of vertices such that every vertex not in D is
adjacent to at least one vertex in D. A dominating set D is paired if the subgraph induced by …
adjacent to at least one vertex in D. A dominating set D is paired if the subgraph induced by …