Tag Archives: Latin squares

Equitable partitions of Latin square graphs

On our recent trip to Shanghai, Rosemary Bailey and I met Sergey Goryainov, who gave a talk about some joint work with his supervisor Alexander Gavrilyuk at the International Workshop on Bannai–Ito Theory in Hangzhou. I mentioned it in my … Continue reading

Posted in Uncategorized | Tagged , , , , | Leave a comment

ACCMCC, Days 4 and 5

Penny Haxell opened proceedings on Thursday with her astonishing work with Ron Aharoni. They give a sufficient condition for a tripartite 3-uniform hypergraph (one whose vertex set is partitioned into three parts so that each hyperedge contains one vertex from … Continue reading

Posted in events | Tagged , , , , , , | 1 Comment

From the archive, 9

Looking for a book yesterday, I turned up a file of old papers. One of them I think deserves an afterlife, so I re-typed it and here it is. First, the background. Let A be an n×n matrix. The permanent … Continue reading

Posted in doing mathematics, history | Tagged , , , , , , | Leave a comment

G. C. Steward lectures 2008

While I was uploading lecture notes, I also put on the page the notes from my G. C. Steward lectures at Gonville and Caius College in 2008. You can find them here. I spent the first half of 2008 in … Continue reading

Posted in history, Lecture notes, Neill Cameron artwork | Tagged , , , , , , , , , , , , , , , | Leave a comment

Orbital combinatorics

Yesterday I went to Edinburgh to give a colloquium talk about synchronization, including the recent stuff about butterflies. The day before, I had discussed Artur Schäfer’s work with him, and he expressed a hope that if he went to the … Continue reading

Posted in exposition | Tagged , , , , , , , , , , | 1 Comment

A niggling problem

Preparing my talk for the Research Day, I was reminded of a problem I can’t solve, that has niggled me for many years. Maybe someone else can solve it, or maybe I will be encouraged to do it myself. Here … Continue reading

Posted in open problems | Tagged , , , , | 3 Comments

Futoshiki squares

Futoshiki is a puzzle in the spirit of sudoku, involving constructing a Latin square from some partial information, which can be found in some newspapers now, including the Saturday Guardian. Probably someone has looked at the mathematics of futoshiki, but … Continue reading

Posted in exposition | Tagged , , | Leave a comment