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math.CO2024
On the Terwilliger algebra of the group association scheme of the symmetric group
Allen Herman, Roghayeh Maleki, Andriaherimanana Sarobidy Razafimahatratra
Terwilliger algebras are finite-dimensional semisimple algebras that were first introduced by Paul Terwilliger in 1992 in studies of association schemes and distance-regular graphs…
math.CO2024★ 1 cited
The Terwilliger algebras of doubly regular tournaments
Allen Herman
The Terwilliger algebras of asymmetric association schemes of rank , whose nonidentity relations correspond to doubly regular tournaments, are shown to have thin irreducible mod…
math.CO2023
Parameters of Quotient-Polynomial Graphs
Allen Herman, Roghayeh Maleki
Fiol has characterized quotient-polynomial graphs as precisely the connected graphs whose adjacency matrix generates the adjacency algebra of a symmetric association scheme. We sho…