most recent 30 from http://mathoverflow.net 2013-05-22T13:02:41Z http://mathoverflow.net/feeds/question/94271 http://www.creativecommons.org/licenses/by-nc/2.5/rdf http://mathoverflow.net/questions/94271/transversal-design mj125 2012-04-17T04:01:01Z 2012-04-17T09:17:00Z

<p>Let D denote a $1-(n, κ, m)$ design where two distinct blocks have at most one point in common (i.e. D is a partial linear space). Then the block graph $\Gamma(D)$ has the blocks of D as vertices and two vertices are adjacent whenever the blocks intersect.and if D is a transversal design $TD_1(κ, m)$</p> <p>is $\Gamma(D)$ a strongly regular graph with parameter $(m^2,k*(m-1),k^2-3k+m,k(k-1))$?</p>