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Generalized Krein Parameters of a Strongly Regular Graph

Read  full  paper  at: http://www.scirp.org/journal/PaperInformation.aspx?PaperID=52958#.VK3oXMnQrzE Author(s)    Lus Almeida Vieira 1 , Vasco Moço Mano 2   Affiliation(s) 1 CMUP—Center of Research of Mathematics of University of Porto, Department of Civil Engineering, University of Porto, Porto, Portugal . 2 CIDMA—Center for Research and Development in Mathematics and Applications, Department of Mathematics, University of Aveiro, Aveiro, Portugal . ABSTRACT We consider the real three-dimensional Euclidean Jordan algebra associated to a strongly regular graph. Then, the Krein parameters of a strongly regular graph are generalized and some generalized Krein admissibility conditions are deduced. Furthermore, we establish some relations between the classical Krein parameters and the generalized Krein parameters.   KEYWORDS Algebraic Combinatorics , Association Schemes , Strongly Regular Graphs , Graphs and Linear Al...