Deza Cayley graphs from difference sets
Grigory Ryabov
TL;DR
This paper presents new constructions of Deza Cayley graphs using difference sets over groups with generalized dihedral subgroups, expanding the methods for generating such graphs.
Contribution
It introduces novel constructions of Deza Cayley graphs leveraging (relative) difference sets in groups with generalized dihedral subgroups.
Findings
Multiple new constructions of Deza Cayley graphs.
Use of (relative) difference sets in the constructions.
Potential applications in graph theory and combinatorics.
Abstract
In this note, we provide several constructions of Deza Cayley graphs over groups having a generalized dihedral subgroup. These constructions are based on a usage of (relative) difference sets.
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Taxonomy
Topicsgraph theory and CDMA systems · Finite Group Theory Research · Mathematics and Applications