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# Tag Archives: acyclic orientations

## Equivalence relations, 2

I believe, and have said in earlier posts here and here on this blog, that the Equivalence Relation Theorem is the modern pons asinorum, the bridge which you must cross in order to become a mathematician: it is essential to … Continue reading

Posted in doing mathematics
Tagged acyclic orientations, equivalence relations, Moebius inversion, permutations
7 Comments

## Counting colourings of graphs

Every graph theorist knows that the colourings of a graph with a given number of colourings are counted by a certain polynomial, the chromatic polynomial of the graph. My purpose here is to point out that there is more to … Continue reading

Posted in exposition, open problems
Tagged acyclic orientations, Inclusion-Exclusion, orbit-counting lemma, Petersen graph
1 Comment