On periodically-cyclic Gale 4-polytopes

被引：3
|
作者：
Bisztriczky, T
Boroczky, K
机构：
[1] Univ Calgary, Dept Math & Stat, Calgary, AB T2N 1N4, Canada
[2] Hungarian Acad Sci, Renyi Inst Math, H-1053 Budapest, Hungary
来源：
DISCRETE MATHEMATICS | 2001年 / 241卷 / 1-3期
关键词：
D O I：
10.1016/S0012-365X(01)00112-1
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
Based upon a labelling (total ordering) of vertices, a 4-polytope is Gale if the vertices satisfy a part of Gale's Evenness Condition and it is periodically-cyclic if there is an integer k such that every subset of k successive vertices generates a cyclic 4-polytope. Among the bi-cyclic 4-polytopes introduced by Smilansky, we determine which are Gale or periodically-cyclic or both. (C) 2001 Elsevier Science B.V. All rights reserved.
引用
收藏
页码：103 / 118
页数：16
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