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Tag Archives: Tutte polynomial
Q is for quantum?
The letter q has three, or maybe four, standard uses in mathematics. It stands for “quantum”, and it is fashionable now to produce quantum versions of everything from chromatic number of a graph to the symmetric group. Related to this, … Continue reading
Posted in Uncategorized
Tagged field of one element, projective space, q-matroid, rank metric code, Tutte polynomial
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Advanced Combinatorics: the St Andrews lectures
Three years ago, when I joined the School of Mathematics and Statistics at the University of St Andrews, it was suggested that I might like to give a final year MMath module on “Advanced Combinatorics”. No compulsion. Well, of course … Continue reading
Posted in Lecture notes
Tagged Catalan numbers, chromatic polynomial, cycle index, doocot principle, enumeration, formal power series, Friendship Theorem, Gaussian coefficients, generalised line graphs, generalised quadrangles, IBIS groups, line graphs, Mathieu groups, matroid, Moebius inversion, orbit-counting lemma, projective planes, root systems, strongly regular graphs, symmetric Sudoku, triangle property, Tutte polynomial, weight enumerator
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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 affine planes, Latin squares, Markov chains, switching, synchronization, transversals, Tutte polynomial
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The Tutte polynomial
The Tutte polynomial is an important 2-variable polynomial associated with a matroid (and in particular, with a graph). I have been at a workshop on “New Directions for the Tutte Polynomial”, organised by Jo Ellis-Monaghan and Iain Moffatt, at Royal … Continue reading
Posted in events
Tagged Iain Moffatt, Joanna Ellis-Monaghan, Potts model partition function, Tutte polynomial
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