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Tag Archives: IBIS groups
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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Dima Fon-Der-Flaass
Yesterday, Edwin van Dam reminded us of a conjecture he and Willem Haemers made ten years ago: almost all graphs are determined by their spectra. This contrasts with the situation for special classes of graphs such as trees, and indeed … Continue reading
Posted in history
Tagged algebraic graph theory, antichains, buildings, IBIS groups, Lambda-trees, matroids, twin trees
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