| Title: | Minimal directed strongly regular Cayley graphs over generalized dicyclic groups |
|---|
| Authors: | ID Han, Yueli (Author) ID Lu, Lu (Author) |
| Files: | AMC_Han_Yueli_2025.pdf (385,94 KB) MD5: 39C772B1D34EF39953D05F1A784EF893
|
|---|
| Language: | English |
|---|
| Work type: | Article |
|---|
| Typology: | 1.01 - Original Scientific Article |
|---|
| Organization: | ZUP - University of Primorska Press
|
|---|
| Abstract: | Let G be a group with identity element 1, and let S be a subset of G \ {1}. The subset S is called minimal if ⟨S⟩ = G and there exists an element s ∈ S such that ⟨S \ {s, s−1}⟩ ≠ G. In this paper, we completely determine all directed strongly regular Cayley graphs Cay(G, S) for any generalized dicyclic group G, provided that S is a minimal subset of G. |
|---|
| Keywords: | directed strongly regular graph, Cayley graph, generalized dicyclic group |
|---|
| Publication status: | Published |
|---|
| Publication version: | Version of Record |
|---|
| Publication date: | 06.05.2025 |
|---|
| Publisher: | Založba Univerze na Primorskem |
|---|
| Year of publishing: | 2025 |
|---|
| Number of pages: | 17 str. |
|---|
| Numbering: | Vol. 25, no. 3, [article no.] P3.02 |
|---|
| PID: | 20.500.12556/RUP-21997  |
|---|
| UDC: | 519.17 |
|---|
| eISSN: | 1855-3974 |
|---|
| DOI: | https://doi.org/10.26493/1855-3974.3119.84d  |
|---|
| Publication date in RUP: | 21.10.2025 |
|---|
| Views: | 335 |
|---|
| Downloads: | 2 |
|---|
| Metadata: |  |
|---|
|
:
|
Copy citation |
|---|
| | | | Average score: | (0 votes) |
|---|
| Your score: | Voting is allowed only for logged in users. |
|---|
| Share: |  |
|---|
Hover the mouse pointer over a document title to show the abstract or click
on the title to get all document metadata. |