Skip to Main Content

Proceedings of the American Mathematical Society

Published by the American Mathematical Society, the Proceedings of the American Mathematical Society (PROC) is devoted to research articles of the highest quality in all areas of pure and applied mathematics.

ISSN 1088-6826 (online) ISSN 0002-9939 (print)

The 2020 MCQ for Proceedings of the American Mathematical Society is 0.85.

What is MCQ? The Mathematical Citation Quotient (MCQ) measures journal impact by looking at citations over a five-year period. Subscribers to MathSciNet may click through for more detailed information.

 

Enumeration of posets generated by disjoint unions and ordinal sums
HTML articles powered by AMS MathViewer

by Richard P. Stanley PDF
Proc. Amer. Math. Soc. 45 (1974), 295-299 Request permission

Abstract:

Let ${f_n}$ be the number of $n$-element posets which can be built up from a given collection of finite posets using the operations of disjoint union and ordinal sum. A curious functional equation is obtained for the generating function $\Sigma {f_n}{x^n}$. Using a result of Bender, an asymptotic estimate can sometimes be given for ${f_n}$. The analogous problem for labeled posets is also considered.
References
Similar Articles
  • Retrieve articles in Proceedings of the American Mathematical Society with MSC: 06A10
  • Retrieve articles in all journals with MSC: 06A10
Additional Information
  • © Copyright 1974 American Mathematical Society
  • Journal: Proc. Amer. Math. Soc. 45 (1974), 295-299
  • MSC: Primary 06A10
  • DOI: https://doi.org/10.1090/S0002-9939-1974-0351928-7
  • MathSciNet review: 0351928