| dc.contributor.advisor | Richmond, Edward | |
| dc.contributor.author | DeHoyos, Emilio Isaiah | |
| dc.date.accessioned | 2022-05-13T19:05:09Z | |
| dc.date.available | 2022-05-13T19:05:09Z | |
| dc.date.issued | 2021-12 | |
| dc.identifier.uri | https://hdl.handle.net/11244/335758 | |
| dc.description.abstract | The Polsby-Popper score, in political science literature, analyzes compactness of congressional districts in area is compared to perimeter. By observing some issues with this shape analysis scores, we discretize the Polsby-Popper score via notions of graph theory and discuss the relationship of isoperimetric inequalities and vertex compactness in various lattices of the Euclidean plane. We further introduce a way to compare continuous and discrete scores of congressional districts to detect gerrymandering. | |
| dc.format | application/pdf | |
| dc.language | en_US | |
| dc.rights | Copyright is held by the author who has granted the Oklahoma State University Library the non-exclusive right to share this material in its institutional repository. Contact Digital Library Services at lib-dls@okstate.edu or 405-744-9161 for the permission policy on the use, reproduction or distribution of this material. | |
| dc.title | Continuous and discrete isoperimetric inequalities and gerrymandering | |
| dc.contributor.committeeMember | Mantini, Lisa | |
| dc.contributor.committeeMember | Mills, Melissa | |
| osu.filename | DeHoyos_okstate_0664M_17516.pdf | |
| osu.accesstype | Open Access | |
| dc.type.genre | Thesis | |
| dc.type.material | Text | |
| dc.subject.keywords | congressional districts | |
| dc.subject.keywords | discretizing compactness | |
| dc.subject.keywords | grid graphs | |
| dc.subject.keywords | isoperimetric inequality | |
| dc.subject.keywords | non-isomorphic compact graphs | |
| dc.subject.keywords | polsy-popper score | |
| thesis.degree.discipline | Mathematics | |
| thesis.degree.grantor | Oklahoma State University | |
