On a problem of Erdos and Larson

Shrikhande, S. S. ; Singhi, N. M. (1985) On a problem of Erdos and Larson Combinatorica, 5 (4). pp. 351-358. ISSN 0209-9683

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Official URL: http://www.springerlink.com/content/472675715q1k10...

Related URL: http://dx.doi.org/10.1007/BF02579251

Abstract

It is shown that a pairwise balanced design onn points in which each block is of size at least n½−c can be embedded in a projective plane of order n+i for some i≦c+2 if n is sufficiently large. Among other things this implies that if the projective plane conjecture is true, the conjecture of Erdos and Larson will not be true.

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