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 - Open Access

Copyright

Copyright by the authors.

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