Symbolic method (combinatorics): Difference between revisions

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match operator name to flajolet/sedgewick text "analytic combinatorics" I.2 II.2
match operator name to flajolet/sedgewick text "analytic combinatorics" I.2 II.2
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\frac{1}{1-g(z)}.</math>
 
=== The cycle operator <math>\mathfrakoperatorname{CCYC}</math> ===
 
This operator corresponds to the class
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\log \frac{1}{1-g(z)}.</math>
 
This operator, together with the set operator <math>\mathfrakoperatorname{PSET}</math>, and their restrictions to specific degrees are used to compute [[random permutation statistics]]. There are two useful restrictions of this operator, namely to even and odd cycles.
 
The labelled even cycle operator <math>\mathfrak{C}_{\operatorname{even}}</math> is