3-polytopes with constant face weight

被引：0
|
作者：
Ivanco, J [1 ]
Trenkler, M [1 ]
机构：
[1] Safarik Univ, Prirodovedecka Fakulta, SK-04154 Kosice, Slovakia
来源：
STUDIA SCIENTIARUM MATHEMATICARUM HUNGARICA | 1999年 / 35卷 / 1-2期
关键词：
polytope; constant; weight of faces;
D O I：
暂无
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
The weight of a face ct in a 5-polytope is the sum of degrees of vertices which are incident with alpha. In the present paper we determine the number of different regular 3-polytopes for which the weight of each face is w greater than or equal to 9. In the nonregular case we have similar results if 9 less than or equal to w less than or equal to 21 and if 28 less than or equal to w.
引用
收藏
页码：1 / 15
页数：15
相关论文
共 50 条
  • [41] MORE ABOUT THE HEIGHT OF FACES IN 3-POLYTOPES
    Borodin, Oleg V.
    Bykov, Mikhail A.
    Ivanova, Anna O.
    DISCUSSIONES MATHEMATICAE GRAPH THEORY, 2018, 38 (02) : 443 - 453
  • [42] On 3-polytopes with non-Hamiltonian prisms
    Ikegami, Daiki
    Maezawa, Shun-ichi
    Zamfirescu, Carol T.
    JOURNAL OF GRAPH THEORY, 2021, 97 (04) : 569 - 577
  • [43] LATTICE 3-POLYTOPES WITH FEW LATTICE POINTS
    Blanco, M.
    Santos, F.
    SIAM JOURNAL ON DISCRETE MATHEMATICS, 2016, 30 (02) : 669 - 686
  • [44] On smallest 3-polytopes of given graph radius
    Maffucci, Riccardo W.
    Willems, Niels
    DISCRETE MATHEMATICS, 2023, 346 (05)
  • [45] LATTICE 3-POLYTOPES WITH SIX LATTICE POINTS
    Blanco, M.
    Santos, F.
    SIAM JOURNAL ON DISCRETE MATHEMATICS, 2016, 30 (02) : 687 - 717
  • [46] Low Faces of Restricted Degree in 3-Polytopes
    Borodin, O. V.
    Ivanova, A. O.
    SIBERIAN MATHEMATICAL JOURNAL, 2019, 60 (03) : 405 - 411
  • [47] On the Buchstaber Invariant of Simple Convex 3-Polytopes
    Dengpin LIU
    Chinese Annals of Mathematics(Series B), 2013, 34 (05) : 697 - 714
  • [48] POLYTOPAL LINEAR GROUPS AND BALANCED 3-POLYTOPES
    Faramarzi, Seadat Ollah
    COMMUNICATIONS IN ALGEBRA, 2009, 37 (12) : 4391 - 4415
  • [49] On the Buchstaber invariant of simple convex 3-polytopes
    Dengpin Liu
    Chinese Annals of Mathematics, Series B, 2013, 34 : 697 - 714
  • [50] Low Faces of Restricted Degree in 3-Polytopes
    O. V. Borodin
    A. O. Ivanova
    Siberian Mathematical Journal, 2019, 60 : 405 - 411
12345