Certain variants of multipermutohedron ideals

Please use this identifier to cite or link to this item: http://hdl.handle.net/123456789/2610

Full metadata record

DC Field	Value	Language
dc.contributor.author	Kumar, Ajay	-
dc.contributor.author	Kumar, Chanchal	-
dc.date.accessioned	2020-12-03T10:19:54Z	-
dc.date.available	2020-12-03T10:19:54Z	-
dc.date.issued	2016	-
dc.identifier.citation	Proceedings of the Indian Academy of Sciences: Mathematical Sciences, 126(4), pp. 479–500	en_US
dc.identifier.other	https://doi.org/10.1007/s12044-016-0313-4	-
dc.identifier.uri	https://link.springer.com/article/10.1007/s12044-016-0313-4	-
dc.identifier.uri	http://hdl.handle.net/123456789/2610	-
dc.description.abstract	Multipermutohedron ideals have rich combinatorial properties. An explicit combinatorial formula for the multigraded Betti numbers of a multipermutohedron ideal and their Alexander duals are known. Also, the dimension of the Artinian quotient of an Alexander dual of a multipermutohedron ideal is the number of generalized parking functions. In this paper, monomial ideals which are certain variants of multipermutohedron ideals are studied. Multigraded Betti numbers of these variant monomial ideals and their Alexander duals are obtained. Further, many interesting combinatorial properties of multipermutohedron ideals are extended to these variant monomial ideals.	en_US
dc.language.iso	en	en_US
dc.publisher	Springer Verlag	en_US
dc.subject	Betti numbers	en_US
dc.subject	Multipermutohedron	en_US
dc.subject	Alexander dual	en_US
dc.subject	Parking functions.	en_US
dc.title	Certain variants of multipermutohedron ideals	en_US
dc.type	Article	en_US
Appears in Collections:	Research Articles

Files in This Item:

File	Description	Size	Format
Need to add pdf.odt		7.9 kB	OpenDocument Text	View/Open