Mohan S. Shrikhande

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Quasi-symmetric designs with block intersection numbers x and y are investigated. Let r be the usual block graph of such a design. Let F be the number of triangles on any edge of r, the complement of r. It is shown that for fixed values of X, y > 2 and F > 0 there are only linitely many such designs. This extends earlier results about quasi-symmetric(More)
A quasi-symmetric design (QSD) is a 2-(v, k, λ) design with intersection numbers x and y with x < y. The block graph of such a design is formed on its blocks with two distinct blocks being adjacent if they intersect in y points. It is well known that the block graph of a QSD is a strongly regular graph (SRG) with parameters (b, a, c, d) with smallest(More)
In a recent paper, Pawale [22] investigated quasi-symmetric 2-(v, k, λ) designs with intersection numbers x > 0 and y = x+ 2 with λ > 1 and showed that under these conditions either λ = x + 1 or λ = x + 2, or D is a design with parameters given in the form of an explicit table, or the complement of one of these designs. In this paper, quasi-symmetric(More)