Approximating the rectilinear crossing number
From MaRDI portal
Publication:2331210
DOI10.1016/j.comgeo.2019.04.003zbMath1431.90162OpenAlexW2937270620WikidataQ128030737 ScholiaQ128030737MaRDI QIDQ2331210
Andrew Suk, Jacob Fox, János Pach
Publication date: 25 October 2019
Published in: Computational Geometry (Search for Journal in Brave)
Full work available at URL: http://real.mtak.hu/102412/1/1606.03753
Related Items
Crossing Numbers of Beyond-Planar Graphs Revisited, Parameterized analysis and crossing minimization problems, Exact crossing number parameterized by vertex cover
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- On \(\leq k\)-edges, crossings, and halving lines of geometric drawings of \(K _{n }\)
- A short proof of Gowers' lower bound for the regularity lemma
- Abstract order type extension and new results on the rectilinear crossing number
- Convergent sequences of dense graphs. I: Subgraph frequencies, metric properties and testing
- Quick approximation to matrices and applications
- Some provably hard crossing number problems
- Lower bounds of tower type for Szemerédi's uniformity lemma
- Enumerating order types for small point sets with applications
- Bounds for graph regularity and removal lemmas
- The Rectilinear Crossing Number of K n : Closing in (or Are We?)
- Multidimensional Sorting
- Multicommodity max-flow min-cut theorems and their use in designing approximation algorithms
- Complexity of Some Geometric and Topological Problems
- Crossing-Free Subgraphs
- Efficient Planarity Testing
- Bounds for rectilinear crossing numbers
- On the combinatorial and algebraic complexity of quantifier elimination
- Improved Approximations of Crossings in Graph Drawings and VLSI Layout Areas
- Crossing numbers of random graphs
- The Rectilinear Crossing Number of a Complete Graph and Sylvester's "Four Point Problem" of Geometric Probability
- Density and regularity theorems for semi-algebraic hypergraphs
- An Optimal Algorithm for Finding Frieze–Kannan Regular Partitions
- An algorithm for the graph crossing number problem
- Computational search of small point sets with small rectilinear crossing number
- Quasi-random graphs
- Expander flows, geometric embeddings and graph partitioning