involutions;
unimodal;
alternating;
signed permutations;
D O I:
10.1016/j.disc.2006.04.018
中图分类号:
O1 [数学];
学科分类号:
0701 ;
070101 ;
摘要:
In this work we count the number of involutory, unimodal, and alternating elements of the group of signed permutations B-n, and the group of even-signed permutations D, Recurrence relations, generating functions, and explicit formulas of the enumerating sequences are given. (c) 2006 Elsevier B.V. All rights reserved.
机构:
Northeastern Univ, Sch Math & Stat, Qinhuangdao 066004, Hebei, Peoples R ChinaNortheastern Univ, Sch Math & Stat, Qinhuangdao 066004, Hebei, Peoples R China
Chow, Chak-On
Ma, Shi-Mei
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机构:
Northeastern Univ, Sch Math & Stat, Qinhuangdao 066004, Hebei, Peoples R ChinaNortheastern Univ, Sch Math & Stat, Qinhuangdao 066004, Hebei, Peoples R China
机构:
Shandong Univ, Res Ctr Math & Interdisciplinary Sci, Minist Educ, Qingdao 266237, Peoples R China
Minist Educ, Frontiers Sci Ctr Nonlinear Expectat, Qingdao 266237, Peoples R ChinaShandong Univ, Res Ctr Math & Interdisciplinary Sci, Minist Educ, Qingdao 266237, Peoples R China
Dong, Yao
Lin, Zhicong
论文数: 0引用数: 0
h-index: 0
机构:
Shandong Univ, Res Ctr Math & Interdisciplinary Sci, Minist Educ, Qingdao 266237, Peoples R China
Minist Educ, Frontiers Sci Ctr Nonlinear Expectat, Qingdao 266237, Peoples R ChinaShandong Univ, Res Ctr Math & Interdisciplinary Sci, Minist Educ, Qingdao 266237, Peoples R China
机构:
Department of Engineering, Kanagawa University, 3-27-1 Rokkaku-bashi, Yokohama,221-8686, JapanDepartment of Engineering, Kanagawa University, 3-27-1 Rokkaku-bashi, Yokohama,221-8686, Japan