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Distance-regular Cayley graphs over (pseudo-) semi-dihedral groups.

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Title: Distance-regular Cayley graphs over (pseudo-) semi-dihedral groups.
Authors: Huang, Xueyi1 (AUTHOR), Lu, Lu1,2 (AUTHOR), Zhan, Xiongfeng1 (AUTHOR)
Source: Discrete Applied Mathematics. Sep2025, Vol. 372, p95-108. 14p.
Subjects: Difference sets, Symmetry, Cayley graphs, Regular graphs
Abstract: Distance-regular graphs constitute an important class of regular graphs exhibiting remarkable combinatorial symmetry. In 2007, Miklavič and Potočnik initiated the systematic study of distance-regular Cayley graphs, extending the classical problem of characterizing strongly regular Cayley graphs (equivalent to investigating regular partial difference sets). In this paper, we provide a partial characterization of distance-regular Cayley graphs over semi-dihedral groups and pseudo-semi-dihedral groups, both of which are 2-groups that contain a cyclic subgroup of index 2. [ABSTRACT FROM AUTHOR]
Copyright of Discrete Applied Mathematics is the property of Elsevier B.V. and its content may not be copied or emailed to multiple sites without the copyright holder's express written permission. Additionally, content may not be used with any artificial intelligence tools or machine learning technologies. However, users may print, download, or email articles for individual use. This abstract may be abridged. No warranty is given about the accuracy of the copy. Users should refer to the original published version of the material for the full abstract. (Copyright applies to all Abstracts.)
Database: Engineering Source
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DbLabel: Engineering Source
An: 185419684
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PubType: Academic Journal
PubTypeId: academicJournal
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  Data: Distance-regular Cayley graphs over (pseudo-) semi-dihedral groups.
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  Data: <searchLink fieldCode="AR" term="%22Huang%2C+Xueyi%22">Huang, Xueyi</searchLink><relatesTo>1</relatesTo> (AUTHOR)<br /><searchLink fieldCode="AR" term="%22Lu%2C+Lu%22">Lu, Lu</searchLink><relatesTo>1,2</relatesTo> (AUTHOR)<br /><searchLink fieldCode="AR" term="%22Zhan%2C+Xiongfeng%22">Zhan, Xiongfeng</searchLink><relatesTo>1</relatesTo> (AUTHOR)
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  Data: <searchLink fieldCode="JN" term="%22Discrete+Applied+Mathematics%22">Discrete Applied Mathematics</searchLink>. Sep2025, Vol. 372, p95-108. 14p.
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  Label: Abstract
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  Data: Distance-regular graphs constitute an important class of regular graphs exhibiting remarkable combinatorial symmetry. In 2007, Miklavič and Potočnik initiated the systematic study of distance-regular Cayley graphs, extending the classical problem of characterizing strongly regular Cayley graphs (equivalent to investigating regular partial difference sets). In this paper, we provide a partial characterization of distance-regular Cayley graphs over semi-dihedral groups and pseudo-semi-dihedral groups, both of which are 2-groups that contain a cyclic subgroup of index 2. [ABSTRACT FROM AUTHOR]
– Name: AbstractSuppliedCopyright
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  Data: <i>Copyright of Discrete Applied Mathematics is the property of Elsevier B.V. and its content may not be copied or emailed to multiple sites without the copyright holder's express written permission. Additionally, content may not be used with any artificial intelligence tools or machine learning technologies. However, users may print, download, or email articles for individual use. This abstract may be abridged. No warranty is given about the accuracy of the copy. Users should refer to the original published version of the material for the full abstract.</i> (Copyright applies to all Abstracts.)
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    Identifiers:
      – Type: doi
        Value: 10.1016/j.dam.2025.04.006
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      – Code: eng
        Text: English
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        PageCount: 14
        StartPage: 95
    Subjects:
      – SubjectFull: Difference sets
        Type: general
      – SubjectFull: Symmetry
        Type: general
      – SubjectFull: Cayley graphs
        Type: general
      – SubjectFull: Regular graphs
        Type: general
    Titles:
      – TitleFull: Distance-regular Cayley graphs over (pseudo-) semi-dihedral groups.
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            NameFull: Huang, Xueyi
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            NameFull: Lu, Lu
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            NameFull: Zhan, Xiongfeng
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            – D: 15
              M: 09
              Text: Sep2025
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              Y: 2025
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              Value: 372
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            – TitleFull: Discrete Applied Mathematics
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