Term of Award
Summer 2019
Degree Name
Master of Science in Mathematics (M.S.)
Document Type and Release Option
Thesis (open access)
Copyright Statement / License for Reuse
This work is licensed under a Creative Commons Attribution 4.0 License.
Department
Department of Mathematical Sciences
Committee Chair
Jimmy Dillies
Committee Member 1
Enka Lakuriqi
Committee Member 2
Hua Wang
Abstract
In this paper, we show how the canonical divisor of a graph is related to the canonical divisor of its subgraph. The use of chip firing and the adjunction formula for graphs ex- plains said relation and even completes it. We go on to show the difference between the formula for full subgraphs and that of non-full subgraphs. Examples are used to simplify these results and to see the adjunction formula in action. Finally, we show that though the adjunction formula seems simple at first glance, it is somewhat complex and rather useful.
OCLC Number
1112110068
Catalog Permalink
https://galileo-georgiasouthern.primo.exlibrisgroup.com/permalink/01GALI_GASOUTH/1fi10pa/alma9916234290502950
Recommended Citation
Harrelson, Paul M., "Taking a Canon to the Adjunction Formula" (2019). Electronic Theses and Dissertations. 1950.
https://digitalcommons.georgiasouthern.edu/etd/1950
Research Data and Supplementary Material
No
