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, Anant P. Godbole
Abstract
The game "Generalized Kayles (or Independence Achievement)" is played by two players A and B on an arbitrary graph G. The players alternate removing a vertex and its neighbors from G, the winner being the last player with a nonempty set from which to choose. In this thesis, we present winning strategies for some paths.
Document Type
Thesis - unrestricted
Recommended Citation
Taylor, Mark C., "Winning an Independence Achievement Game." (2003). Electronic Theses and Dissertations. Paper 797. https://dc.etsu.edu/etd/797
Copyright
Copyright by the authors.