Lecture 14 . Enumerative Combinatorics (Federico Ardila)
Автор: Federico Ardila
Загружено: 2013-10-22
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We introduce the compositional formula for exponential generating functions and illustrate it by counting ordered set partitions. We also study the combinatorial meaning of taking the derivative of an egf, and use that to show that the coefficients of tan x and sec x count alternating permutations.
Lecture notes at: http://math.sfsu.edu/federico/ec.html
San Francisco State University (San Francisco, USA)
Universidad de Los Andes (Bogota, Colombia)
Partially supported by:
US National Science Foundation CAREER Award DMS-0956178
US National Science Foundation Grant DMS-0801075
SFSU-Colombia Combinatorics Initiative.
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