TY - CPAPER
TI - Exponential Inequalities on the Parameters of a Strongly Regular Graph
T2 - Innovations in Industrial Engineering
SP - 121-133
PY - 2021
DO - 10.1007/978-3-030-78170-5_12
AU - Vieira, L.
AU - Vasco Moço Mano
AB - In this paper we work, in the context of Euclidean Jordan algebras, on the problem of finding admissibility inequalities for primitive strongly regular graphs. We connect each strongly regular graph to a particular Euclidean Jordan algebra A spanned by the natural powers of its adjacency matrix and by the identity matrix. By creating an exponential series with the elements of a Jordan frame of A, we are able to deduce some necessary conditions for the existence of a strongly regular graph.
Keywords: Euclidean Jord
ER -