Crossings between non-homotopic edges
From MaRDI portal
Publication:2673492
DOI10.1016/j.jctb.2022.05.007zbMath1490.05189OpenAlexW3037442767MaRDI QIDQ2673492
Gábor Tardos, János Pach, Géza Tóth
Publication date: 10 June 2022
Published in: Journal of Combinatorial Theory. Series B (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/j.jctb.2022.05.007
Planar graphs; geometric and topological aspects of graph theory (05C10) Erd?s problems and related topics of discrete geometry (52C10) Graph representations (geometric and intersection representations, etc.) (05C62)
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Improving the crossing lemma by finding more crossings in sparse graphs
- Graphs drawn with few crossings per edge
- Improved bounds for planar \(k\)-sets and related problems
- A successful concept for measuring non-planarity of graphs: The crossing number.
- The number of crossings in multigraphs with no empty lens
- Systems of curves on surfaces
- The graph crossing number and its variants: a survey
- On topological graphs with at most four crossings per edge
- Cutting algebraic curves into pseudo-segments and applications
- Distinct distances in homogeneous sets in Euclidean space
- Crossing Number is NP-Complete
- Crossing-Free Subgraphs
- Crossing Numbers and Hard Erdős Problems in Discrete Geometry
- On the Number of Incidences Between Points and Curves
- Crossing Numbers of Graphs
- Counting curve types
- Crossings Between Non-homotopic Edges
- A crossing lemma for multigraphs