A two-fold cover of strongly regular graphs with spreads and association schemes of class five
Sho Suda

TL;DR
This paper explores the structure of certain association schemes, showing how two-fold covers of strongly regular graphs with spreads lead to five-class fission schemes, enriching the understanding of graph symmetries.
Contribution
It demonstrates that two-fold covers of strongly regular graphs with spreads form five-class fission schemes of imprimitive schemes of class four, revealing new structural relationships.
Findings
Two-fold covers of strongly regular graphs with spreads produce five-class fission schemes.
The work links imprimitive association schemes of class four to more refined five-class schemes.
Provides a method to construct complex association schemes from simpler graph covers.
Abstract
We consider imprimitive association schemes of class four which are two-fold covers of strongly regular graphs with spreads. It will be shown that a two-fold cover of a strongly regular graph with a spread provides a five class fission scheme of the imprimitive scheme of class four.
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Taxonomy
TopicsFinite Group Theory Research · Coding theory and cryptography · graph theory and CDMA systems
