Pseudocyclic 3-class association schemes on 28 points
نویسندگان
چکیده
منابع مشابه
On Pseudocyclic Association Schemes
The notion of pseudocyclic association scheme is generalized to the non-commutative case. It is proved that any pseudocyclic scheme the rank of which is much more than the valency is the scheme of a Frobenius group and is uniquely determined up to isomorphism by its intersection number array. An immediate corollary of this result is that any scheme of prime degree, valency k and rank at least k...
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There are 24 feasible parameter sets for a primitive non-symmetric association schemes with 3 classes and at most 100 vertices. Using computer search, we prove non-existence for three feasible parameter sets. Eleven cases are still open. In the imprimitive case, we survey the known results including some constructions of infinite families of schemes. In the smallest case that has been open up t...
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Coherent configurations and association schemes form a kernel of algebraic combinatorics, as it is defined in the seminal book [3] of E. Bannai and T. Ito. From the beginning, two important, and in a sense orthogonal, directions emerged: the derivation of infinite families of such objects of specific type (started in [3] and continued in [5]) and the creation of catalogues of all objects of a p...
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There are 24 feasible parameter sets for a primitive non-symmetric association schemes with 3 classes and at most 100 vertices. Using computer search, we prove non-existence for three feasible parameter sets. Eleven cases are still open. In the imprimitive case, we survey the known results including some constructions of infinite families of schemes. In the smallest case that has been open up t...
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ژورنال
عنوان ژورنال: Discrete Mathematics
سال: 1984
ISSN: 0012-365X
DOI: 10.1016/0012-365x(84)90082-7