Type-II matrices in weighted Bose-Mesner algebras of ranks 2 and 3
Journal of Algebraic Combinatorics, Tome 32 (2010) no. 1, pp. 133-153.

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Summary: Type-II matrices are nonzero complex matrices that were introduced in connection with spin models for link invariants. Type-II matrices have been found in connection with symmetric designs, sets of equiangular lines, strongly regular graphs, and some distance regular graphs. We investigate weighted complete and strongly regular graphs, and show that type-II matrices arise in this setting as well.
Keywords: type-II matrix, association scheme, spin model
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     author = {Sankey, A.D.},
     title = {Type-II matrices in weighted {Bose-Mesner} algebras of ranks 2 and 3},
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Sankey, A.D. Type-II matrices in weighted Bose-Mesner algebras of ranks 2 and 3. Journal of Algebraic Combinatorics, Tome 32 (2010) no. 1, pp. 133-153. http://geodesic.mathdoc.fr/item/JAC_2010__32_1_a0/