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19972026
most citedCounting genus one partitions and permutations

11 citations · 57 across the 33 of their papers we have counts for

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Showing 2017 · math.COShow all

2 papers · 2 filters

math.CO2017

Counting partitions of a fixed genus

Robert Cori, Gábor Hetyei

We show that, for any fixed genus , the ordinary generating function for the genus partitions of an -element set into blocks is algebraic. The proof involves showing…

math.CO2017

Alternation acyclic tournaments

Gábor Hetyei

We define a tournament to be alternation acyclic if it does not contain a cycle in which descents and ascents alternate. Using a result by Athanasiadis on hyperplane arrangements,…