Enumeration of strong dichotomy patterns

dc.contributor.author	Agustín -Aquino, O. A.
dc.date.accessioned	2019-12-11T07:55:39Z
dc.date.available	2019-12-11T07:55:39Z
dc.date.issued	2018
dc.identifier.uri	http://hdl.handle.net/123456789/4499
dc.description	Agustín –Aquino O. A. Enumeration of strong dichotomy patterns / O. A. Agustín –Aquino // Algebra and Discrete Mathematics. - 2018. - Vol. 25. - Number 2. – Рp.165-176	uk_UA
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	ДЗ "ЛНУ імені Тараса Шевченка"	uk_UA
dc.relation.ispartofseries	Математичні науки;
dc.subject	strong dichotomy pattern	uk_UA
dc.subject	Pólya-Redfield theory	uk_UA
dc.subject	cyclic sieving	uk_UA
dc.title	Enumeration of strong dichotomy patterns	uk_UA
dc.type	Article	uk_UA