Faculty
Science
Supervisor Name
Dr. Krzysztof Kapulkin
Keywords
category theory, mathematics, graph theory, graphs, algebra
Description
In this article, we introduce a categorical characterization of directed and undirected graphs, and explore subcategories of reflexive and simple graphs. We show that there are a number of adjunctions between such subcategories, exploring varying combinations of graph types.
Acknowledgements
Immense thanks are due to the author's research supervisor, Dr. Chris Kapulkin, whose guidance, experience and teaching were both outstanding and critically important to the success of this work. Thanks are also in order to Western University for its generosity in extending this internship opportunity, as well as to the organizers of the Western USRI program for their diligence and effort in making this program the success that it is.
Creative Commons License
This work is licensed under a Creative Commons Attribution-Noncommercial-No Derivative Works 4.0 License.
Document Type
Paper
Included in
Algebra Commons, Discrete Mathematics and Combinatorics Commons, Other Mathematics Commons
Categorical Aspects of Graphs
In this article, we introduce a categorical characterization of directed and undirected graphs, and explore subcategories of reflexive and simple graphs. We show that there are a number of adjunctions between such subcategories, exploring varying combinations of graph types.