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

页码：103 / 118

页数：16

共 8 条

[1] Altshuler A., 1973, Journal of Combinatorial Theory, Series A, V15, P270, DOI 10.1016/0097-3165(73)90074-5
[2] Gale D., 1963, P S PURE MATH, VII, P225
[3] HIGHER CURVATURES OF CURVES IN EUCLIDEAN SPACE
GLUCK, H
[J]. AMERICAN MATHEMATICAL MONTHLY, 1966, 73 (07) : 699 - &
[4] GRUNBAUM B, 1967, J COMB THEORY, V2, P437, DOI 10.1016/S0021-9800(6
[5] Klee V, 1972, Inequalities, VIII, P159
[6] SAUTER J, 1936, MATH Z, V41, P507
[7] CONVEX HULLS OF GENERALIZED MOMENT CURVES
SMILANSKY, Z
[J]. ISRAEL JOURNAL OF MATHEMATICS, 1985, 52 (1-2) : 115 - 128
[8] BI-CYCLIC 4-POLYTOPES
SMILANSKY, Z
[J]. ISRAEL JOURNAL OF MATHEMATICS, 1990, 70 (01) : 82 - 92

← 1 →