Constructing combinatorial operads from monoids
2012 ◽
Vol DMTCS Proceedings vol. AR,...
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Keyword(s):
International audience We introduce a functorial construction which, from a monoid, produces a set-operad. We obtain new (symmetric or not) operads as suboperads or quotients of the operad obtained from the additive monoid. These involve various familiar combinatorial objects: parking functions, packed words, planar rooted trees, generalized Dyck paths, Schröder trees, Motzkin paths, integer compositions, directed animals, etc. We also retrieve some known operads: the magmatic operad, the commutative associative operad, and the diassociative operad.
2008 ◽
Vol DMTCS Proceedings vol. AJ,...
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2014 ◽
Vol DMTCS Proceedings vol. AT,...
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2007 ◽
Vol DMTCS Proceedings vol. AH,...
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2012 ◽
Vol DMTCS Proceedings vol. AR,...
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2013 ◽
Vol DMTCS Proceedings vol. AS,...
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2016 ◽
Vol Vol. 17 no. 3
(Combinatorics)
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2003 ◽
Vol DMTCS Proceedings vol. AC,...
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2005 ◽
Vol DMTCS Proceedings vol. AD,...
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