Height counting of unlabeled interval and N-free posets

Khamis, Soheir;

Abstract


This paper enumerates according to height the classes of unlabeled N-free posets, interval orders, and posets that are both N-free and interval orders. The last two classes are enumerated according to height in terms of generating functions. We apply an algorithmic method for height counting of connected N-free posets. Numerical results for n-element posets of height k, 1≤k≤n≤14, are included. © 2003 Elsevier B.V. All rights reserved.


Other data

Title Height counting of unlabeled interval and N-free posets
Authors Khamis, Soheir 
Keywords Counting, enumeration, interval order, N-free, height.
Issue Date 28-Jan-2004
Journal Discrete Mathematics 
DOI 1-3
165
https://api.elsevier.com/content/abstract/scopus_id/0348010176
275
10.1016/S0012-365X(03)00106-7
Scopus ID 2-s2.0-0348010176

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