Construction of directed strongly regular graphs with nontrivial automorphisms
Fuente:
arXiv
Saved in:
| Main Authors: | , |
|---|---|
| Format: | Preprint |
| Published: |
2024
|
| Subjects: | |
| Online Access: | |
| Tags: |
Add Tag
No Tags, Be the first to tag this record!
|
| _version_ | 1866929641711730688 |
|---|---|
| author | Maksimović, Marija Rukavina, Sanja |
| author_facet | Maksimović, Marija Rukavina, Sanja |
| contents | In this paper we present a method for constructing directed strongly regular graphs with assumed action of an automorphism group. The application of this method leads to first examples of directed strongly regular graphs with parameters $(22,9,6,3,4)$. We have shown that an automorphism of prime order acting on such a graph can only be of order two or three. Furthermore, we have constructed $472$ directed strongly regular graphs with parameters $(22,9,6,3,4)$ and classified all these graphs with an automorphism of order three. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2412_10901 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Construction of directed strongly regular graphs with nontrivial automorphisms Maksimović, Marija Rukavina, Sanja Combinatorics 05C20, 05E18 (Primary) 05E30 (Secondary) In this paper we present a method for constructing directed strongly regular graphs with assumed action of an automorphism group. The application of this method leads to first examples of directed strongly regular graphs with parameters $(22,9,6,3,4)$. We have shown that an automorphism of prime order acting on such a graph can only be of order two or three. Furthermore, we have constructed $472$ directed strongly regular graphs with parameters $(22,9,6,3,4)$ and classified all these graphs with an automorphism of order three. |
| title | Construction of directed strongly regular graphs with nontrivial automorphisms |
| topic | Combinatorics 05C20, 05E18 (Primary) 05E30 (Secondary) |
| url | https://arxiv.org/abs/2412.10901 |