Placing Monitoring Devices in Electric Power Networks Modeled by Block Graphs.

<p>The problem of monitoring an electric power system by placing as few measurement devices in the system as possible is closely related to the well known vertex covering and dominating set problems in graph theory. A set <em>S</em> of vertices is defined to be a power dominating set of a graphs if every vertex and every edge in the system is monitored by the set <em>S</em> (following a set of rules for power system monitoring). The minimum cardinality of a power dominating set of a graph is its power domination number. In this thesis, we investigate the power domination number of a block graph.</p>

Name thesis:degree_name

MS (Master of Science)

Level thesis:degree_level

Thesis - unrestricted

Discipline thesis:degree_discipline

Mathematical Sciences

Year dc:date.issued

2003

Author dc:creator

• Atkins, David Wayne

• Block Graph
• Power Domination
• PMU Placement
• Physical Sciences and Mathematics

Statement dc:rights

• Copyright by the authors.

Repository record dc:identifier

https://dc.etsu.edu/etd/794

OAI identifier oai:identifier

oai:dc.etsu.edu:etd-1951