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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 k-subsets (called “blocks”) of an n-set of “points” with the property that any t-set 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 good-natured 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
5 Comments