AN EXTREMAL PROBLEM ON SPARSE 0-1 MATRICES

被引:30
|
作者
BIENSTOCK, D
GYORI, E
机构
[1] BELLCORE,MORRISTOWN,NJ 07960
[2] HUNGARIAN ACAD SCI,INST MATH,H-1361 BUDAPEST 5,HUNGARY
关键词
EXTREMAL PROBLEMS;
D O I
10.1137/0404002
中图分类号
O29 [应用数学];
学科分类号
070104 ;
摘要
The problem of estimating the number of 1's in a square 0-1 matrix with certain forbidden configurations is considered, and nearly tight bounds are provided. This is motivated by a problem in computational geometry.
引用
收藏
页码:17 / 27
页数:11
相关论文
共 50 条
  • [1] A PROBLEM ON 0-1 MATRICES
    DEVALK, V
    COMPOSITIO MATHEMATICA, 1989, 71 (02) : 139 - 179
  • [2] On the Extremal Functions of Acyclic Forbidden 0-1 Matrices
    Pettie, Seth
    Tardos, Gábor
    arXiv, 2023,
  • [3] On the Extremal Functions of Acyclic Forbidden 0-1 Matrices
    University of Michigan, United States
    不详
    Proc Annu ACM SIAM Symp Discrete Algorithms, (1166-1176):
  • [4] On the Extremal Functions of Acyclic Forbidden 0-1 Matrices
    Pettie, Seth
    Tardos, Gabar
    PROCEEDINGS OF THE 2024 ANNUAL ACM-SIAM SYMPOSIUM ON DISCRETE ALGORITHMS, SODA, 2024, : 1166 - 1176
  • [5] Sparse 0-1 matrices and forbidden hypergraphs
    Bertram-Kretzberg, C
    Hofmeister, T
    Lefmann, H
    COMBINATORICS PROBABILITY & COMPUTING, 1999, 8 (05): : 417 - 427
  • [6] REMARK TO A PROBLEM ON 0-1 MATRICES
    TUZAR, A
    COMPOSITIO MATHEMATICA, 1993, 86 (01) : 97 - 100
  • [7] Extremal bounds for pattern avoidance in multidimensional 0-1 matrices
    Geneson, Jesse
    Tsai, Shen-Fu
    DISCRETE MATHEMATICS, 2025, 348 (02)
  • [8] Tight General Bounds for the Extremal Numbers of 0-1 Matrices
    Janzer, Barnabas
    Janzer, Oliver
    Magnan, Van
    Methuku, Abhishek
    INTERNATIONAL MATHEMATICS RESEARCH NOTICES, 2024, 2024 (15) : 11455 - 11463
  • [9] Maximum determinant and permanent of sparse 0-1 matrices
    Araujo, Igor
    Balogh, Jozsef
    Wang, Yuzhou
    LINEAR ALGEBRA AND ITS APPLICATIONS, 2022, 645 : 194 - 228
  • [10] On the 0-1 matrices whose squares are 0-1 matrices
    Wu, Honglin
    LINEAR ALGEBRA AND ITS APPLICATIONS, 2010, 432 (11) : 2909 - 2924