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Title:Minimal directed strongly regular Cayley graphs over generalized dicyclic groups
Authors:ID Han, Yueli (Author)
ID Lu, Lu (Author)
Files:.pdf 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 This link opens in a new window
UDC:519.17
eISSN:1855-3974
DOI:https://doi.org/10.26493/1855-3974.3119.84d This link opens in a new window
Publication date in RUP:21.10.2025
Views:335
Downloads:2
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Record is a part of a journal

Title:Ars mathematica contemporanea
Publisher:Založba Univerze na Primorskem
ISSN:1855-3974

Document is financed by a project

Funder:National Natural Science Foundation of China
Project number:12371362

Licences

License:CC BY 4.0, Creative Commons Attribution 4.0 International
Link:http://creativecommons.org/licenses/by/4.0/
Description:This is the standard Creative Commons license that gives others maximum freedom to do what they want with the work as long as they credit the author.

Secondary language

Language:Slovenian
Title:Minimalni usmerjeni krepko regularni Cayleyjevi grafi nad posplošenimi dicikličnimi grupami
Keywords:usmerjen krepko regularen graf, Cayleyjev graf, posplošena diciklična grupa


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