Multidecompositions of Complete Directed Graphs into Directed Graph Pairs

Presenter and Advisor Information

Patrick Ward, Illinois Wesleyan University

Submission Type

Event

Faculty Advisor

Daniel Roberts

Expected Graduation Date

2020

Location

Room E105, Center for Natural Sciences, Illinois Wesleyan University

Start Date

4-13-2019 11:00 AM

End Date

4-13-2019 12:00 PM

Disciplines

Education

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.

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Apr 13th, 11:00 AM Apr 13th, 12:00 PM

Multidecompositions of Complete Directed Graphs into Directed Graph Pairs

Room E105, Center for Natural Sciences, Illinois Wesleyan University

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.