On Counting Constructions and Isomorphism Classes of $I$-Graphs
Fuente:
arXiv
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| Autores principales: | , |
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| Formato: | Preprint |
| Publicado: |
2024
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| Acceso en línea: | |
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| _version_ | 1866916543689916416 |
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| author | Bohl, Harrison Dudek, Adrian W. |
| author_facet | Bohl, Harrison Dudek, Adrian W. |
| contents | We prove a collection of asymptotic density results for several interesting classes of the $I$-graphs. Specifically, we quantify precisely the proportion of $I$-graphs that are generalised Petersen graphs as well as those that are connected. Our results rely on the estimation of sums over tuples satisfying various coprimality conditions along with other techniques from analytic number theory. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2412_19618 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | On Counting Constructions and Isomorphism Classes of $I$-Graphs Bohl, Harrison Dudek, Adrian W. Combinatorics 11N25, 11N37, 05C30 We prove a collection of asymptotic density results for several interesting classes of the $I$-graphs. Specifically, we quantify precisely the proportion of $I$-graphs that are generalised Petersen graphs as well as those that are connected. Our results rely on the estimation of sums over tuples satisfying various coprimality conditions along with other techniques from analytic number theory. |
| title | On Counting Constructions and Isomorphism Classes of $I$-Graphs |
| topic | Combinatorics 11N25, 11N37, 05C30 |
| url | https://arxiv.org/abs/2412.19618 |