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International Journal of Computer Mathematics Volume 61, 1996 - Issue 1-2
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Original Articles

The number of coverings in four catalan lattices

Christian Germain L.I.E.S.I.B, Université.de Bourgogne, B.P. 138, DIJON-CEDEX, 21004, France
&
Jean Pallo L.I.E.S.I.B, Université.de Bourgogne, B.P. 138, DIJON-CEDEX, 21004, France
Pages 19-28 | Received 15 Jun 1995, Published online: 19 Mar 2007
 
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Abstract

We consider in this note a series of lattices that are enumerated by the well-known Catalan numbers. We give formulas for the number of coverings, i.e. the number of edges in the Hasse diagrams of these lattices.

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