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Normalized integral table algebras generated by a faithful real element of degree 2 and having 4 linear elements
We completely classify the normalized integral table algebra ( A , B ) generated by a faithful real element of degree 2 and having four linear elements.
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Twice Q-polynomial distance-regular graphs of diameter 4
It is known that a distance-regular graph with valency k at least three admits at most two Q -polynomial structures. We show that all distance-regular...
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Orientably-regular embeddings of a class of multipartite graphs
The orientably-regular embeddings of complete multipartite graphs have been determined by the contributions of several papers. After that, a natural...
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Theorems of Erdős-Ko-Rado type in geometrical settings
The original Erdős-Ko-Rado problem has inspired much research. It started as a study on sets of pairwise intersecting k -subsets in an n -set, then it...
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Some results on strongly regular graphs from unions of cyclotomic classes
In this paper, we construct some families of strongly regular graphs on finite fields by using unions of cyclotomic classes and index 2 Gauss sums....
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Orthogonal graphs of characteristic 2 and their automorphisms
The (singular) orthogonal graph O (2ν + δ, q ) over a field with q elements and of characteristic 2 (where ν ⩾ 1, and δ = 0, 1 or 2) is introduced....
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PBIBDs from weakly divisible nearrings and related codes
In [
5 ] the authors are able to give a method for the construction of a family of partially balanced incomplete block designs from a special class of... -
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