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Permanent link (DOI): https://doi.org/10.7939/R38P5VF85

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On Finding Hajós Constructions Open Access

Descriptions

Other title
Subject/Keyword
Hajos
Hajós
Ore
Graph calculus
Type of item
Thesis
Degree grantor
University of Alberta
Author or creator
Johnson, Erik E
Supervisor and department
Hayward, Ryan (Computing Science)
Culberson, Joseph (Computing Science)
Examining committee member and department
Friggstad, Zachary (Computing Science)
Hayward, Ryan (Computing Science)
Stewart, Lorna (Computing Science)
Culberson, Joseph (Computing Science)
Department
Department of Computing Science
Specialization

Date accepted
2015-09-16T11:00:29Z
Graduation date
2015-11
Degree
Master of Science
Degree level
Master's
Abstract
We develop a method for searching for Hajós constructions. Our results include the discovery of new constructions for some well-known graphs, including the Grötzsch graph, Chvátal graph, and Brinkmann graph; also, we prove that the first two of these are shortest possible constructions. These are the first published constructions for these graphs.
Language
English
DOI
doi:10.7939/R38P5VF85
Rights
Permission is hereby granted to the University of Alberta Libraries to reproduce single copies of this thesis and to lend or sell such copies for private, scholarly or scientific research purposes only. The author reserves all other publication and other rights in association with the copyright in the thesis and, except as herein before provided, neither the thesis nor any substantial portion thereof may be printed or otherwise reproduced in any material form whatsoever without the author's prior written permission.
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