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# Tag Archives: Ramsey’s theorem

## Combinatorics in Scotland, group theory in Portugal

I never really wanted to retire. For various reasons which no longer matter, I decided to retire from my position at Queen Mary, University of London, on turning 65 two years ago. I hoped that I would find enough to … Continue reading

## Partitions into Petersens

There is a lovely algebraic argument to prove that the complete graph on ten vertices (which has 45 edges) cannot be partitioned into three copies of the Petersen graph (which has 15 edges). Sebastian Cioaba asked me: for which m … Continue reading

Posted in exposition, open problems
Tagged doubly transitive groups, eigenvalues, Ramsey's theorem
10 Comments