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Quasi-Symmetric Designs Related to the Triangular Graph

机译:与三角图相关的拟对称设计

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Let T(sub m) be the adjacency matrix of the triangular graph. The authors give conditions for a linear combination of T(sub m), I and J to be decomposable. This leads to Bruck-Ryser-Chowla like conditions for what they call triangular designs. These are quasi-symmetric designs whose block graph is the complement of the triangular graph. For these designs the conditions turn out to be stronger than the known non-existence results for quasi-symmetric designs.

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