Concepedia

Geometric Set Systems

Geometric Set Systems is a mathematical framework in discrete geometry that consists of a finite collection of geometric objects, such as points, lines, or convex sets, along with a family of subsets defined by their incidence or intersection patterns, distinguished from general set systems by the inherent geometric constraints governing membership and structure.

17

Publications

601

Citations

34

Authors

27

Institutions

Publications per year

2017–2026

1

Parents

Publications

17

Conflict-Free Colorings of Simple Geometric Regions with Applications to Frequency Assignment in Cellular Networks

Guy Even, Zvi Lotker, Dana Ron et al. · SIAM Journal on Computing · 2003 · 218 citations

, , +13

Proof Of A Conjecture Of Erdős On Triangles In Set-Systems

Dhruv Mubayi, Jacques Verstraëte · COMBINATORICA · 2005 · 50 citations

, , +7

Capacities and geometric transformations of subsets inn-space

Geometric and Functional Analysis · 1993 · 37 citations

, , +10

Optimization and approximation on systems of geometric objects

van Erik Jan Leeuwen · 2009 · 35 citations

, , +11

Conflict-free colorings of simple geometric regions with applications to frequency assignment in cellular networks

Guy Even, Zvi Lotker, Dana Ron et al. · 2003 · 33 citations

, , +13

1–5 of 17

Authors

34

  1. SS
    Shakhar Smorodinsky

    Tel Aviv University, Israel

    2 publications · 251 citations

    2

    h-index

  2. GE
    Guy Even

    Tel Aviv University, Israel

    2 publications · 251 citations

    2

    h-index

  3. JL
    Jiuqiang Liu

    Eastern Michigan University, United States

    2 publications · 33 citations

    2

    h-index

  4. ZL
    Zvi Lotker

    Ben-Gurion University of the Negev, Israel

    2 publications · 251 citations

    2

    h-index

  5. BC
    Bernard Chazelle

    Princeton University, United States

    2 publications · 37 citations

    2

    h-index

1–5 of 34

Institutions

27

  1. Princeton University

    Princeton, United States

    2 h-index

    2 publications

    39 citations

  2. Alfréd Rényi Institute of Mathematics

    Budapest, Hungary

    2 h-index

    2 publications

    44 citations

  3. Eastern Michigan University

    Ypsilanti, United States

    2 h-index

    2 publications

    33 citations

  4. Comenius University Bratislava

    Bratislava, Slovakia

    1 h-index

    1 publications

    18 citations

  5. University of California, Santa Barbara

    Santa Barbara, United States

    1 h-index

    1 publications

    20 citations

  6. Ibaraki University

    Ibaraki, Japan

    1 h-index

    1 publications

    20 citations

  7. École Polytechnique Fédérale de Lausanne

    Lausanne, Switzerland

    1 h-index

    1 publications

    11 citations

  8. University of Aveiro

    Aveiro, Portugal

    1 h-index

    1 publications

    20 citations

1–8 of 27

Venues

  1. Journal of Combinatorial Theory Series A

    3 publications · 59 citations

    3

    h-index

  2. SIAM Journal on Computing

    2 publications · 242 citations

    2

    h-index

  3. European Journal of Combinatorics

    1 publications · 18 citations

    1

    h-index

  4. Discrete Applied Mathematics

    1 publications · 20 citations

    1

    h-index

  5. Ukrainian Mathematical Journal

    1 publications · 29 citations

    1

    h-index

1–5