Square of an oriented graph

Date of Publication

2016

Document Type

Bachelor's Thesis

Degree Name

Bachelor of Science in Mathematics

Subject Categories

Mathematics

College

College of Science

Department/Unit

Mathematics and Statistics

Abstract/Summary

In 1993, Paul Seymour posed the problem that for every oriented graph D there exists a vertex whose out-degree at least doubles when you square the oriented graph. We verify this claim for some families of graphs namely paths, cycles and star graph. Further, we will identify other vertices that will satisfy assertion of the Square of Oriented Graph Conjecture.

Abstract Format

html

Language

English

Format

Electronic

Accession Number

CDTU021104

Shelf Location

Archives, The Learning Commons, 12F, Henry Sy Sr. Hall

Keywords

Directed graphs; Graph algorithms

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