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Multidecompositions of Complete Directed Graphs into Directed Graph Pairs

Patrick J. Ward

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Abstract

A directed graph is a way to encode information about directional relationships among objects. The complete directed graph on n objects is the directed graph with arrows pointing in both directions for each pair of objects. In this project we are interested in decomposing complete directed graphs into pairs of smaller directed graphs. In particular, we choose to focus on directed graphs pairs. A directed graph pair is two directed graphs that together form a smaller complete directed graph.

About this research paper

What this paper is about

A directed graph is a way to encode information about directional relationships among objects. The complete directed graph on n objects is the directed graph with arrows pointing in both directions for each pair of objects. In this project we are interested in decomposing complete directed graphs into pairs of smaller directed graphs. In particular, we choose to focus on directed graphs pairs. A directed graph pair is two directed graphs that together form a smaller complete directed graph.

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Available abstract

A directed graph is a way to encode information about directional relationships among objects. The complete directed graph on n objects is the directed graph with arrows pointing in both directions for each pair of objects. In this project we are interested in decomposing complete directed graphs into pairs of smaller directed graphs. In particular, we choose to focus on directed graphs pairs. A directed graph pair is two directed graphs that together form a smaller complete directed graph.

Key concepts: Combinatorics, Directed graph, Computer science, Mathematics

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