Explore the words cloud of the CombiCompGeom project. It provides you a very rough idea of what is the project "CombiCompGeom" about.
The following table provides information about the project.
Coordinator |
BEN-GURION UNIVERSITY OF THE NEGEV
Organization address contact info |
Coordinator Country | Israel [IL] |
Total cost | 1˙303˙750 € |
EC max contribution | 1˙303˙750 € (100%) |
Programme |
1. H2020-EU.1.1. (EXCELLENT SCIENCE - European Research Council (ERC)) |
Code Call | ERC-2015-STG |
Funding Scheme | ERC-STG |
Starting year | 2016 |
Duration (year-month-day) | from 2016-09-01 to 2021-08-31 |
Take a look of project's partnership.
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1 | BEN-GURION UNIVERSITY OF THE NEGEV | IL (BEER SHEVA) | coordinator | 1˙303˙750.00 |
The project focuses on the interface between computational and combinatorial geometry. Geometric problems emerge in a variety of computational fields that interact with the physical world. The performance of geometric algorithms is determined by the description complexity of their underlying combinatorial structures. Hence, most theoretical challenges faced by computational geometry are of a distinctly combinatorial nature.
In the past two decades, computational geometry has been revolutionized by the powerful combination of random sampling techniques with the abstract machinery of geometric arrangements. These insights were used, in turn, to establish state-of-the-art results in combinatorial geometry. Nevertheless, a number of fundamental problems remained open and resisted numerous attempts to solve them.
Motivated by the recent breakthrough results, in which the PI played a central role, we propose two exciting lines of study with the potential to change the landscape of this field.
The first research direction concerns the complexity of Voronoi diagrams -- arguably the most common structures in computational geometry.
The second direction concerns combinatorial and algorithmic aspects of geometric intersection structures, including some fundamental open problems in geometric transversal theory. Many of these questions are motivated by geometric variants of general covering and packing problems, and all efficient approximation schemes for them must rely on the intrinsic properties of geometric graphs and hypergraphs.
Any progress in responding to these challenges will constitute a major breakthrough in both computational and combinatorial geometry.
year | authors and title | journal | last update |
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2018 |
Kolja Knauer, Leonardo MartÃnez-Sandoval, Jorge Luis RamÃrez AlfonsÃn On Lattice Path Matroid Polytopes: Integer Points and Ehrhart Polynomial published pages: 698-719, ISSN: 0179-5376, DOI: 10.1007/s00454-018-9965-4 |
Discrete & Computational Geometry 60/3 | 2019-06-06 |
2018 |
J. Chappelon, L. MartÃnez-Sandoval, L. Montejano, L. P. Montejano, J. L. RamÃrez AlfonsÃn Codimension Two and Three Kneser Transversals published pages: 1351-1363, ISSN: 0895-4801, DOI: 10.1137/16M1101854 |
SIAM Journal on Discrete Mathematics 32/2 | 2019-06-06 |
2019 |
Martin Balko Ramsey numbers and monotone colorings published pages: 34-58, ISSN: 0097-3165, DOI: 10.1016/j.jcta.2018.11.013 |
Journal of Combinatorial Theory, Series A 163 | 2019-06-06 |
2019 |
J\'anos Pach, Natan Rubin, and G\'abor Tardos Planar Point Sets Determine Many Pairwise Crossing Segments published pages: , ISSN: , DOI: |
51st ACM Symposium on Theory of Computing | 2019-06-06 |
2018 |
János Pach, Natan Rubin, Gábor Tardos A Crossing Lemma for Jordan curves published pages: 908-940, ISSN: 0001-8708, DOI: 10.1016/j.aim.2018.03.015 |
Advances in Mathematics 331 | 2019-06-06 |
2018 |
MartÃnez-Sandoval, Leonardo; Roldán-Pensado, Edgardo; Rubin, Natan Further Consequences of the Colorful Helly Hypothesis published pages: , ISSN: , DOI: 10.4230/lipics.socg.2018.59 |
International Symposium on Computational Geometry (SoCG 2018) | 2019-06-06 |
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