Enumeration of strong dichotomy patterns

dc.contributor.author	Agustín-Aquino, O.A.
dc.date.accessioned	2023-02-25T14:30:12Z
dc.date.available	2023-02-25T14:30:12Z
dc.date.issued	2018
dc.identifier.citation	Enumeration of strong dichotomy patterns / O.A. Agustín-Aquino // Algebra and Discrete Mathematics. — 2018. — Vol. 25, № 2. — С. 165–176. — Бібліогр.: 10 назв. — англ.	uk_UA
dc.identifier.issn	1726-3255
dc.identifier.other	2010 MSC: 00A65, 05E18
dc.identifier.uri	http://dspace.nbuv.gov.ua/handle/123456789/188356
dc.description.abstract	We apply the version of Pólya-Redfield theory obtained by White to count patterns with a given automorphism group to the enumeration of strong dichotomy patterns, that is, we count bicolor patterns of Z2k with respect to the action of Aff(Z2k) and with trivial isotropy group. As a byproduct, a conjectural instance of phenomenon similar to cyclic sieving for special cases of these combinatorial objects is proposed.	uk_UA
dc.language.iso	en	uk_UA
dc.publisher	Інститут прикладної математики і механіки НАН України	uk_UA
dc.relation.ispartof	Algebra and Discrete Mathematics
dc.title	Enumeration of strong dichotomy patterns	uk_UA
dc.type	Article	uk_UA
dc.status	published earlier	uk_UA