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Discrete Mathematics and Combinatorics Commons

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East Tennessee State University

2009

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Full-Text Articles in Discrete Mathematics and Combinatorics

Decompositions Of Mixed Graphs With Partial Orientations Of The P4., Adam M. Meadows May 2009

Decompositions Of Mixed Graphs With Partial Orientations Of The P4., Adam M. Meadows

Electronic Theses and Dissertations

A decomposition D of a graph H by a graph G is a partition of the edge set of H such that the subgraph induced by the edges in each part of the partition is isomorphic to G. A mixed graph on V vertices is an ordered pair (V,C), where V is a set of vertices, |V| = v, and C is a set of ordered and unordered pairs, denoted (x, y) and [x, y] respectively, of elements of V [8]. An ordered pair (x …