A direct bijection for the Harer-Zagier formula (Q2566803)
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| Language | Label | Description | Also known as |
|---|---|---|---|
| English | A direct bijection for the Harer-Zagier formula |
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A direct bijection for the Harer-Zagier formula (English)
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28 September 2005
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The Harer-Zagier formula describes the disjoint cycle distribution of a long cycle multiplied by an involution with no fixed points, in the symmetric group of a set of even cardinality. The paper gives the first proof of the Harer-Zagier formula with an explicit bijection.
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combinatorial bijection
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symmetric group
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permutation enumeration
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cycle distribution
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ordered tree
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pairing
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