Year of Award

2014

Document Type

Dissertation

Degree Type

Doctor of Philosophy (PhD)

Other Degree Name/Area of Focus

Mathematical Sciences

Department or School/College

Department of Mathematics

Committee Chair

Mark Kayll

Commitee Members

Kelly McKinnie, Jenny McNulty, George McRae, Mike Rosulek

Publisher

University of Montana

Abstract

A natural digraph analogue of the graph-theoretic concept of an `independent set' is that of an acyclic set, namely a set of vertices not spanning a directed cycle. Hence a digraph analogue of a graph coloring is a decomposition of the vertex set into acyclic sets.

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© Copyright 2014 Michael Dennis Severino