Date of Award


Document Type

Masters Thesis

Degree Name


Organizational Unit

Daniel Felix Ritchie School of Engineering and Computer Science, Computer Science

First Advisor

Mario A. Lopez, Ph.D.

Second Advisor

Paul Horn

Third Advisor

Chris Gauthier-Dickey

Fourth Advisor

Jing Li


Barrier, Computational geometry, Coverage, Sensor networks


The study of sensor networks begins with a model, which usually has a geometric component. This thesis focuses on networks of sensors modeled as collections of rays in the plane whose use is to detect intruders, and in particular a graph derived from this geometry, called the barrier graph of the network, which captures information about the network's coverage. Every such ray-barrier sensor network corresponds to a barrier graph, but not every graph is the barrier graph of some network.

We show that any barrier graph is not just tripartite, but perfect. We describe how to find networks which have certain designated graphs as their barrier graphs. We show that the size of a minimum vertex cover (in this context called the resilience) of a given graph can yield information about whether and how one can find a sensor network whose barrier graph is the given graph. Finally, we demonstrate that barrier graphs have certain strong structural properties, as a result of the geometry of ray-barrier networks, which represent progress towards a full characterization of barrier graphs.

Publication Statement

Copyright is held by the author. User is responsible for all copyright compliance.

Rights Holder

Kirk Anthony Boyer


Received from ProQuest

File Format




File Size

57 p.


Computer science