The Two-Distance Sets in Dimension Four

被引：0
|
作者：
Szollosi, Ferenc [1 ]
机构：
[1] Aalto Univ, Sch Elect Engn, Dept Communicat & Networking, POB 15400, Aalto 00076, Finland
来源：
DISCRETE AND COMPUTATIONAL GEOMETRY, GRAPHS, AND GAMES, JCDCGGG 2018 | 2021年 / 13034卷
关键词：
DISTANCE SETS; CLASSIFICATION;
D O I：
10.1007/978-3-030-90048-9_2
中图分类号：
TP31 [计算机软件];
学科分类号：
081202 ; 0835 ;
摘要：
A finite set of vectors X in the d-dimensional Euclidean space R-d is called a 2-distance set, if the set of mutual distances between distinct elements of X has cardinality exactly 2. In this note we report, among other things, the results of a computer-aided enumeration of the 2-distance sets in R-4.
引用
收藏
页码：18 / 27
页数：10
相关论文
共 50 条
  • [1] Regular Two-Distance Sets
    Casazza, Peter G.
    Tran, Tin T.
    Tremain, Janet C.
    JOURNAL OF FOURIER ANALYSIS AND APPLICATIONS, 2020, 26 (03)
  • [2] Regular Two-Distance Sets
    Peter G. Casazza
    Tin T. Tran
    Janet C. Tremain
    Journal of Fourier Analysis and Applications, 2020, 26
  • [3] Spherical two-distance sets
    Musin, Oleg R.
    JOURNAL OF COMBINATORIAL THEORY SERIES A, 2009, 116 (04) : 988 - 995
  • [4] On representations of graphs as two-distance sets
    Alfakih, A. Y.
    DISCRETE MATHEMATICS, 2020, 343 (0I)
  • [5] Graphs and spherical two-distance sets
    Musin, Oleg R.
    EUROPEAN JOURNAL OF COMBINATORICS, 2019, 80 : 311 - 325
  • [6] New maximal two-distance sets
    Lisonek, P
    JOURNAL OF COMBINATORIAL THEORY SERIES A, 1997, 77 (02) : 318 - 338
  • [7] New Bounds for Spherical Two-Distance Sets
    Barg, Alexander
    Yu, Wei-Hsuan
    EXPERIMENTAL MATHEMATICS, 2013, 22 (02) : 187 - 194
  • [8] On Borsuk's Conjecture for Two-Distance Sets
    Bondarenko, Andriy
    DISCRETE & COMPUTATIONAL GEOMETRY, 2014, 51 (03) : 509 - 515
  • [9] On Borsuk’s Conjecture for Two-Distance Sets
    Andriy Bondarenko
    Discrete & Computational Geometry, 2014, 51 : 509 - 515
  • [10] Spherical Two-Distance Sets and Eigenvalues of Signed Graphs
    Jiang, Zilin
    Tidor, Jonathan
    Yao, Yuan
    Zhang, Shengtong
    Zhao, Yufei
    COMBINATORICA, 2023, 43 (02) : 203 - 232
12345