Degree Name
MS (Master of Science)
Program
Mathematical Sciences
Date of Award
5-2000
Committee Chair or Co-Chairs
James Boland
Committee Members
Don Hong, Janice Huang
Abstract
The eccentricity of a vertex, v, of a connected graph, G, is the distance to a furthest vertex from v. A mode vertex of a connected graph, G, is a vertex whose eccentricity occurs as often in the eccentricity sequence of G as the eccentricity of any other vertex. The mode of a graph, G, is the subgraph induced by the mode vertices of G. A mode graph is a connected graph for which each vertex is a mode vertex. Note that mode graphs are a generalization of self-centered graphs. This paper presents some results based on these definitions.
Document Type
Thesis - unrestricted
Recommended Citation
Kauffman, Jobriath Scott, "Mode Vertices and Mode Graphs." (2000). Electronic Theses and Dissertations. Paper 10. https://dc.etsu.edu/etd/10
Copyright
Copyright by the authors.