A superlinear lower bound on the number of 5-holes-Reference-Cited by-同舟云学术

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A superlinear lower bound on the number of 5-holes

Published:2020-07 Issue: Volume:173 Page:105236
ISSN:0097-3165
Container-title:Journal of Combinatorial Theory, Series A
language:en
Short-container-title:Journal of Combinatorial Theory, Series A

Author:

Aichholzer Oswin,Balko Martin,Hackl Thomas,Kynčl Jan,Parada Irene^ORCID,Scheucher Manfred,Valtr Pavel,Vogtenhuber Birgit^ORCID

Funder

OEAD

Ministry of Education of the Czech Republic

Austrian Science Fund

GAUK

Czech Science Foundation

Charles University

ERC

DFG

FWF

Publisher

Elsevier BV

Subject

Computational Theory and Mathematics,Discrete Mathematics and Combinatorics,Theoretical Computer Science

Reference32 articles.

1. [Empty] [colored] k-gons. Recent results on some Erdős–Szekeres type problems;Aichholzer,2009

2. Enumerating order types for small point sets with applications;Aichholzer;Order,2002

3. Lower bounds for the number of small convex k-holes;Aichholzer;Comput. Geom. Theory Appl.,2014

Cited by 7 articles. 订阅此论文施引文献订阅此论文施引文献，注册后可以免费订阅5篇论文的施引文献，订阅后可以查看论文全部施引文献

1. Erdős–Szekeres-Type Problems in the Real Projective Plane;Discrete & Computational Geometry;2024-09-09

2. On Weighted Sums of Numbers of Convex Polygons in Point Sets;Discrete & Computational Geometry;2022-06-07

3. Tight bounds on the expected number of holes in random point sets;Random Structures & Algorithms;2022-04-21

4. Counting Non-Convex 5-Holes in a Planar Point Set;Symmetry;2022-01-05

5. Holes and islands in random point sets;Random Structures & Algorithms;2021-07-12

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