Bibliographic Details
| 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] |
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| Database: |
Engineering Source |
