Elements transpositions and their impact on the cyclic structure of permutations

Grebennik, I. V.; Chorna, O.

Публікація:
Elements transpositions and their impact on the cyclic structure of permutations

dc.contributor.author	Grebennik, I. V.
dc.contributor.author	Chorna, O.
dc.date.accessioned	2018-03-26T14:23:24Z
dc.date.available	2018-03-26T14:23:24Z
dc.date.issued	2015
dc.description.abstract	The objective of this paper is the investigation of the cyclic structure and permutation properties based on neighbor elements transposition properties and the properties of the permutation polyhedron. In this paper we consider special type of transpositions of elements in a permutation. A feature of these transpositions is that they corresponding to the adjacency criterion in a permutation polyhedron. We will investigate permutation properties with the help of the permutation polyhedron by using the immersing in the Euclidian space. Six permutation types are considered in correspondence with the location of arbitrary components. We consider the impact of the corresponding components on the cyclic structure of permutations depending on the type of a permutation.	uk_UA
dc.identifier.citation	Grebennik I. Elements transpositions and their impact on the cyclic structure of permutations / I. Grebennik, O.Chorna // Econtechmod. An international quarterly journal on economics in technology,new technologies and modelling processes – 2015. – Vol. 4, № 3 – P. 33–38.	uk_UA
dc.identifier.uri	http://openarchive.nure.ua/handle/document/4424
dc.language.iso	ru	uk_UA
dc.publisher	LUBLIN--RZESZOW	uk_UA
dc.subject	permutations set	uk_UA
dc.subject	permutation polyhedron	uk_UA
dc.subject	adjacency criterion	uk_UA
dc.subject	permutation properties	uk_UA
dc.subject	transposition	uk_UA
dc.subject	combinatorics	uk_UA
dc.title	Elements transpositions and their impact on the cyclic structure of permutations	uk_UA
dc.type	Article	uk_UA
dspace.entity.type	Publication