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Generalized Krein Parameters of a Strongly Regular Graph
CMUP—Center of Research of Mathematics of University of Porto, Department of Civil Engineering, University of Porto, Porto, Portugal
CIDMA—Center for Research and Development in Mathematics and Applications, Department of Mathematics, University of Aveiro, Aveiro, Portugal
- 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
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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.
KeywordsAlgebraic CombinatoricsAssociation SchemesStrongly Regular GraphsGraphs and Linear Algebra
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