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Tag Archives: Thomas Kirkman
EKR, Steiner systems, association schemes, and all that
A great number of mathematical problems amount to looking in a large but highly structured graph, and finding a complete or null subgraph of largest possible size there. For a simple example, consider Latin squares of order n. One of … Continue reading
Steiner systems exist
A Steiner system S(t,k,n) is a collection of ksubsets (called “blocks”) of an nset of “points” with the property that any tset of points is contained in a unique block. To avoid trivial cases, we assume that t<k<n. Since the … Continue reading
Combinatorics, Algebra and More: conference report
I wrote about the walks already, but not about the conference itself. It was an amazingly friendly and goodnatured event: everyone seemed to be happy and cheerful, the College catering staff excelled themselves (they even put on a cream tea … Continue reading
Kirkman’s schoolgirls and their friends
Often it happens that, when I think about a hard problem, I am absolutely convinced that I know what the answer will be, but I merely lack a proof. In this post I want to discuss a problem which I … Continue reading
Posted in exposition, open problems
Tagged affine space, hyperoval, partition, projective plane, Steiner system, Thomas Kirkman
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