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dbr:Permutoassociahedron	rdfs:label	"Permutoassociahedron"@en ;
	rdfs:comment	"In mathematics, the permutoassociahedron is an -dimensional polytope whose vertices correspond to the bracketings of the permutations of terms and whose edges connect two bracketings that can be obtained from one another either by moving a pair of brackets using associativity or by transposing two consecutive terms that are not separated by a bracket."@en .
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		<http://commons.wikimedia.org/wiki/Special:FilePath/Permutoassociahedron3d.svg> .
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dbr:Permutoassociahedron	dcterms:subject	dbc:Polytopes ,
		dbc:Permutations .
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dbr:Permutoassociahedron	dbo:abstract	"In mathematics, the permutoassociahedron is an -dimensional polytope whose vertices correspond to the bracketings of the permutations of terms and whose edges connect two bracketings that can be obtained from one another either by moving a pair of brackets using associativity or by transposing two consecutive terms that are not separated by a bracket. The permutoassociahedron was first defined as a CW complex by Mikhail Kapranov who noted that this structure appears implicitly in Mac Lane's coherence theorem for symmetric and braided categories as well as in Vladimir Drinfeld's work on the Knizhnik\u2013Zamolodchikov equations. It was constructed as a convex polytope by Victor Reiner and G\u00FCnter M. Ziegler."@en ;
	dbo:wikiPageWikiLink	dbr:Permutohedron ,
		<http://dbpedia.org/resource/Coherency_(homotopy_theory)> ,
		dbc:Permutations ,
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		<http://dbpedia.org/resource/Knizhnik\u2013Zamolodchikov_equations> ,
		dbr:Factorial ,
		dbr:Dodecagon ,
		dbr:Polytope ,
		dbr:Mikhail_Kapranov ,
		dbr:Permutation ,
		<http://dbpedia.org/resource/Category_(mathematics)> ,
		dbr:Associativity ,
		<http://dbpedia.org/resource/Transposition_(mathematics)> ,
		<http://dbpedia.org/resource/G\u00FCnter_M._Ziegler> ,
		dbr:N-skeleton ,
		dbr:Vladimir_Drinfeld ,
		dbr:Cyclohedron ,
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		<http://dbpedia.org/resource/File:Permutoassociahedron.svg> ,
		dbr:Simple_polytope ,
		dbc:Polytopes ,
		dbr:Flip_graph ,
		dbr:Catalan_number ,
		dbr:Associahedron .
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dbr:Permutoassociahedron	prov:wasDerivedFrom	<http://en.wikipedia.org/wiki/Permutoassociahedron?oldid=1099094967&ns=0> .
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dbr:Permutoassociahedron	foaf:isPrimaryTopicOf	wikipedia-en:Permutoassociahedron .
wikipedia-en:Permutoassociahedron	foaf:primaryTopic	dbr:Permutoassociahedron .
dbr:Associahedron	dbo:wikiPageWikiLink	dbr:Permutoassociahedron .
<http://dbpedia.org/resource/Coherency_(homotopy_theory)>	dbo:wikiPageWikiLink	dbr:Permutoassociahedron .
dbr:Cyclohedron	dbo:wikiPageWikiLink	dbr:Permutoassociahedron .
dbr:Permutohedron	dbo:wikiPageWikiLink	dbr:Permutoassociahedron .  <script>parent.window.postMessage('ixistenz.url:http://dbpedia.org/data/Permutoassociahedron.ttl', '*'); </script> <div id='browserdiffcontainer' style='position: fixed; right: 10px; top: 10vh; min-width: 60px;  border: 1px solid white; background: rgb(251, 189, 0);; opacity: 0.9; font-family: helvetica, arial, sans serif;  font-size: 12px; z-index: 20001; padding-bottom: 20px;'><div onclick="toggle('browserdiffcontainerlist'); return false;" style='background: rgb(151, 89, 0);; color: white; '><strong>&nbsp; <span class='glyphicon glyphicon-minus'></span> NODES</strong></div><div id='browserdiffcontainerlist' style='padding-left: 10px; padding-right: 5px; max-height: 50vh; overflow: auto; '><div><a href='#diffid878' style='color: white;' onClick="parent.window.postMessage('ixistenz.opendiff:878', '*');; return false;" style='text-decoration: none; '>Note </a> <a style='color: white;' href='#diffid878'><sup>1</sup></a></div></div></div>
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