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Generalized Krein Parameters and Some Theorems on Strongly Regular Graphs

Title
Generalized Krein Parameters and Some Theorems on Strongly Regular Graphs
Type
Article in International Conference Proceedings Book
Year
2015
Authors
Luís Almeida Vieira
(Author)
FEUP
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Mano, VM
(Author)
Other
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Conference proceedings International
International Conference on Numerical Analysis and Applied Mathematics (ICNAAM)
Rhodes, GREECE, SEP 22-28, 2014
Indexing
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Scientific classification
CORDIS: Physical sciences > Mathematics
FOS: Natural sciences > Mathematics
Other information
Authenticus ID: P-00G-BC5
Abstract (EN): Let G be a strongly regular graph whose adjacency matrix is A. We associate a real finite dimensional Euclidean Jordan algebra A of rank three to the strongly regular graph G, endowed with the Jordan product of matrices and with the inner product as being the usual trace of matrices, spanned by I and the natural powers of A. Next we consider the unique Jordan frame S associated to A. Finally, we define the generalized Krein parameters of G and establish some theorems on strongly regular graphs.
Language: English
Type (Professor's evaluation): Scientific
No. of pages: 4
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