Polynômes de Stanley et extensions linéaires d'un ordre partiel

G. Kreweras

Mathématiques et Sciences Humaines (1981)

  • Volume: 73, page 97-116
  • ISSN: 0987-6936

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Kreweras, G.. "Polynômes de Stanley et extensions linéaires d'un ordre partiel." Mathématiques et Sciences Humaines 73 (1981): 97-116. <http://eudml.org/doc/94254>.

@article{Kreweras1981,
author = {Kreweras, G.},
journal = {Mathématiques et Sciences Humaines},
keywords = {strict homomorphism; homogeneous poset; Stanley polynomial; linear-quasi- orders; number of ideal chains; maximal chain},
language = {fre},
pages = {97-116},
publisher = {Ecole Pratique des hautes études, Centre de mathématique sociale et de statistique},
title = {Polynômes de Stanley et extensions linéaires d'un ordre partiel},
url = {http://eudml.org/doc/94254},
volume = {73},
year = {1981},
}

TY - JOUR
AU - Kreweras, G.
TI - Polynômes de Stanley et extensions linéaires d'un ordre partiel
JO - Mathématiques et Sciences Humaines
PY - 1981
PB - Ecole Pratique des hautes études, Centre de mathématique sociale et de statistique
VL - 73
SP - 97
EP - 116
LA - fre
KW - strict homomorphism; homogeneous poset; Stanley polynomial; linear-quasi- orders; number of ideal chains; maximal chain
UR - http://eudml.org/doc/94254
ER -

References

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  1. [1 ] Barbut M. et Monjardet B., Ordre et Classification, Paris, Hachette, 1970. Zbl0267.06001
  2. [2 ] Berge C., Graphes et hypergraphes, Paris, Dunod, 1970. Zbl0213.25702MR357173
  3. [3 ] Dushnik B. et Miller E.W., "Partially ordered sets", Am. J. Math., 63, (1941), 600-610. Zbl0025.31002MR4862JFM67.0157.01
  4. [5 ] Narayana T.V. et Sathe Y.S., "Minimum variance unbiased estimation in coin tossing problems", SankhyaA, 32, 2, (1961), 183. Zbl0099.35603MR133913
  5. [6] Raney G.N., "Functional composition patterns and power series reversion", Trans. Am. Math. Soc., 94, (1960). Zbl0131.01402MR114765
  6. [7 ] Riordanj., An introduction of combinatorial analysis, N.Y., Wiley, 1958. Zbl0078.00805MR96594
  7. [8 ] Riordan J., Combinatorial Identities, N.Y., Wiley, 1968, 17. Zbl0194.00502MR231725
  8. [9 ] Rota G.C., "On the foundations of combinatorial theory ", Z. Wahrscheinlichkeitstheorie u. verw. Geb., 2, (1964), 340-368. Zbl0121.02406MR174487
  9. [10] Stanley R., 'Ordered Structures and Partitions", Memoirs of the Am. Math. Soc., 119, (1972). Zbl0246.05007MR332509

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