%0 Journal Article
%T 1-Colored Archetypal Permutations and Strings of Degree n
%A Gheorghe Eduard Tara
%J Memoirs of the Scientific Sections of the Romanian Academy
%D 2012
%I Publishing House of the Romanian Academy
%X New notions related to permutations are introduced here. We present the string of a 1-colored permutation as a closed planar curve, the fundamental 1-colored permutation as an equivalence class related to the equivalence in strings of the 1-colored permutations. We give formulas for the number of the 1-colored archetypal permutations of degree n. We establish an algorithm to identify the 1- colored archetypal permutations of degree n and we present the atlas of the 1-colored archetypal strings of degree n, n ¡Ü 7, based on this algorithm.
%K Colored permutation group
%U http://www.academiaromana-is.ro/Reviste/mem_sc_st_2012/art%2001%20Tara.pdf