Preface
1 An Introductory Background
1.1 The underlying main problem
1.2 The structure behind our problem: strongly regular graphs
1.2.1 General concepts of Graph Theory
1.2.2 Strongly regular graphs
1.2.3 Particular families of strongly regular graphs
1.2.4 Admissibility conditions
1.3 The main problem revisited
1.4 Going beyond strongly regular graphs: association schemes.
1.5 A similar algebraic structure with a different name: Euclidean Jordan algebras
1.5.1 Power-associative algebras
1.5.2 Jordan algebras
1.5.3 Euclidean Jordan algebras
1.5.4 A generalization of the Eigenvalues Interlacing The-orem to simple Euclidean Jordan algebras
2 Bringing Strongly Regular Graphs and Euclidean Jordan Alge-bras Together
2.1 An Euclidean Jordan algebra associated to the adjacency ma-trix of a strongly regular graph
2.2 A generalization of the Krein parameters
2.3 The generalized Krein admissibility conditions
2.4 A new upper bound for the Krein parameters
2.5 Some other admissibility conditions on the parameters of a strongly regular graph
2.5.1 Generalized binomial series
2.5.2 Function series
2.5.3 Alternating Hadamard series
2.6 Immediate consequences for association schemes and other results
2.7 Conclusions and remarks
Bibliography
Notation
Index
编辑手记
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