Natural Partial Orders on Transformation Semigroups with Fixed Sets
نویسندگان
چکیده
منابع مشابه
Counting Partial Orders With A Fixed Number Of Comparable Pairs
In 1978, Dhar suggested a model of a lattice gas whose states are partial orders. In this context he raised the question of determining the number of partial orders with a xed number of comparable pairs. Dhar conjectured that in order to nd a good approximation to this number, it should suuce to enumerate families of layer posets. In this paper we prove this conjecture and thereby prepare the g...
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(*) This work received funding from the Agence Nationale de la Recherche through contract ANR-2010-BLAN-0205-01 " KIDICO " .
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ژورنال
عنوان ژورنال: International Journal of Mathematics and Mathematical Sciences
سال: 2016
ISSN: 0161-1712,1687-0425
DOI: 10.1155/2016/2759090