SOLUTION TO A CONJECTURE OF SCHMIDT AND TULLER ON ONE-DIMENSIONAL PACKINGS AND COVERINGS

被引:3
作者
Frankl, N. O. R. A. [1 ,2 ]
Kupavskii, A. N. D. R. E. Y. [3 ,4 ]
Sagdeev, A. R. S. E. N., II [2 ,3 ]
机构
[1] Open Univ, Sch Math & Stat, Milton Keynes, England
[2] Alfred Renyi Inst Math, Budapest, Hungary
[3] MIPT, Moscow, Russia
[4] Univ Grenoble Alpes, G SCOP, CNRS, Saint Martin dheres, France
关键词
NUMBER; Z(N);
D O I
10.1090/proc/16254
中图分类号
O29 [应用数学];
学科分类号
070104 ;
摘要
In 2008, Schmidt and Tuller stated a conjecture concerning optimal packing and covering of integers by translates of a given three-point set. In this note, we confirm their conjecture and relate it to several other problems in combinatorics.
引用
收藏
页码:2353 / 2362
页数:10
相关论文
共 50 条
  • [1] Solution methods for one-dimensional viscoelastic problems
    Stubstad, John M.
    Simitses, George J.
    AIAA journal, 1988, 26 (09): : 1127 - 1134
  • [2] Proof of a Conjecture for the One-Dimensional Perturbed Gelfand Problem from Combustion Theory
    Huang, Shao-Yuan
    Wang, Shin-Hwa
    ARCHIVE FOR RATIONAL MECHANICS AND ANALYSIS, 2016, 222 (02) : 769 - 825
  • [3] A Criterion for the Existence of the Unique Periodic Solution of One-Dimensional Periodic Differential Equation
    Hua, Ni
    JOURNAL OF MATHEMATICS, 2021, 2021
  • [4] A splash in a one-dimensional cold gas
    Chakraborti, Subhadip
    Dhar, Abhishek
    Krapivsky, P. L.
    SCIPOST PHYSICS, 2022, 13 (03):
  • [5] Solitons in One-Dimensional Lattices with a Flat Band
    Bercioux, Dario
    Dutta, Omjyoti
    Rico, Enrique
    ANNALEN DER PHYSIK, 2017, 529 (09)
  • [6] Topologically Protected States in One-Dimensional Systems
    Fefferman, C. L.
    Lee-Thorp, J. P.
    Weinstein, M. I.
    MEMOIRS OF THE AMERICAN MATHEMATICAL SOCIETY, 2017, 247 (1173) : 1 - +
  • [7] A CAM system for one-dimensional stock cutting
    Cui, Yaodong
    ADVANCES IN ENGINEERING SOFTWARE, 2012, 47 (01) : 7 - 16
  • [8] Complete visitation statistics of one-dimensional random walks
    Regnier, Leo
    Dolgushev, Maxim
    Redner, S.
    Benichou, Olivier
    PHYSICAL REVIEW E, 2022, 105 (06)
  • [9] One-dimensional reaction/diffusion system with a fast reaction
    Univ of Maryland, Baltimore, United States
    J Math Anal Appl, 2 (392-414):
  • [10] One-dimensional Hubbard model in the presence of magnetic field
    Kioussis, N.
    Kocharian, A.N.
    Park, S.
    Journal of Magnetism and Magnetic Materials, 1998, 177-181 (Pt 1): : 575 - 576