Contributed talk

Speaker: Neha Joshi (Arizona State University)

Location and Time: SAS 201, Saturday, 10:40–11:10 AM

Title: Fusions of the generalized Hamming scheme on a Strongly-regular graph

Abstract: In this paper we show that for any fusion B of an association scheme A, the generalized Hamming scheme H(n,B) is a nontrivial fusion of H(n,A). We analyze the case where A is the association scheme on a strongly-regular graph, and determine the parameters of all strongly-regular graphs for which the generalized Hamming scheme, H(2,A), has extra fusions, in addition to the one arising from the trivial fusion of A.