Term of Award
Spring 2024
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
Hua Wang
Committee Member 1
Tricia Brown
Committee Member 2
Daniel Gray
Abstract
In some sense, chemical graph theory applies graph theory to various physical sciences. This interdisciplinary field has significant applications to structure property relationships, as well as mathematical modeling. In particular, we focus on two important indices widely used in chemical graph theory, the Merrifield-Simmons index and Hosoya index. The Merrifield-Simmons index and the Hosoya index are two well-known topological indices used in mathematical chemistry for characterizing specific properties of chemical compounds. Substantial research has been done on the two indices in terms of enumerative problems and extremal questions. In this thesis, we survey known extremal results and consider the generalized version of both topological indices.
OCLC Number
1432813491
Catalog Permalink
https://galileo-georgiasouthern.primo.exlibrisgroup.com/permalink/01GALI_GASOUTH/1r4bu70/alma9916567549802950
Recommended Citation
O'Reilly, William B., "Problems in Chemical Graph Theory Related to the Merrifield-Simmons and Hosoya Topological Indices" (2024). Electronic Theses and Dissertations. 2746.
https://digitalcommons.georgiasouthern.edu/etd/2746
Research Data and Supplementary Material
No
Included in
Discrete Mathematics and Combinatorics Commons, Other Applied Mathematics Commons, Other Chemistry Commons
