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