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 dsp on The enhanced power graph is weakly perfect
 dsp on The enhanced power graph is weakly perfect
 What Lovelace Did: From Bombelli to Bernoulli to Babbage  on Polynomials taking integer values
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Tag Archives: matroid
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, orbitcounting lemma, projective planes, root systems, strongly regular graphs, symmetric Sudoku, triangle property, Tutte polynomial, weight enumerator
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Representing the Fano matroid
In my lecture today I proved that the Fano matroid is representable over a field F if and only the characteristic of F is 2. There is a proof of this using only the classical theorems of Ceva and Menelaus … Continue reading
Posted in exposition
Tagged Ceva's theorem, Euclidean geometry, Fano plane, matroid, Menelaus' theorem, representation
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