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math.CO2024
New Strongly Regular Graphs Found via Local Search for Partial Difference Sets
Andrew C. Brady
Strongly regular graphs (SRGs) are highly symmetric combinatorial objects, with connections to many areas of mathematics including finite fields, finite geometries, and number theo…
math.CO2022★ 1 cited
Negative Latin Square Type Partial Difference Sets in Nonabelian Groups of Order 64
Andrew Charles Brady
There exist few examples of negative Latin square type partial difference sets (NLST PDSs) in nonabelian groups. We present a list of 176 inequivalent NLST PDSs in 48 nonisomorphic…