Degree Name
MS (Master of Science)
Program
Mathematical Sciences
Date of Award
8-2003
Committee Chair or Co-Chairs
Teresa W. Haynes
Committee Members
Debra J. Knisley, Robert B. Gardner
Abstract
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 S 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 S (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.
Document Type
Thesis - unrestricted
Recommended Citation
Atkins, David Wayne, "Placing Monitoring Devices in Electric Power Networks Modeled by Block Graphs." (2003). Electronic Theses and Dissertations. Paper 794. https://dc.etsu.edu/etd/794
Copyright
Copyright by the authors.