Infinite families of crossing-critical graphs with prescribed average degree and crossing number
From MaRDI portal
Publication:3055931
DOI10.1002/jgt.20470zbMath1226.05094arXiv0909.2561OpenAlexW2951743866MaRDI QIDQ3055931
Publication date: 10 November 2010
Published in: Journal of Graph Theory (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/0909.2561
Extremal problems in graph theory (05C35) Planar graphs; geometric and topological aspects of graph theory (05C10)
Related Items (9)
Characterizing 2-crossing-critical graphs ⋮ The crossing number of \(K_{5,n+1} \setminus e\) ⋮ Bounded degree conjecture holds precisely for \(c\)-crossing-critical graphs with \(c \le 12\) ⋮ Crossing number additivity over edge cuts ⋮ Characterizing all graphs with 2-exceptional edges ⋮ On degree properties of crossing-critical families of graphs ⋮ Unnamed Item ⋮ Structure and generation of crossing-critical graphs ⋮ Nested cycles in large triangulations and crossing-critical graphs
Cites Work
- Unnamed Item
- Unnamed Item
- Crossing-critical edges and Kuratowski subgraphs of a graph
- Infinite families of crossing-critical graphs with a given crossing number
- Minimal graphs with crossing number at least \(k\)
- On the crossing numbers of Cartesian products with paths
- Construction of crossing-critical graphs
- Infinite families of crossing-critical graphs with given average degree
- On a crossing number result of Richter and Thomassen
- Embedding grids in surfaces
- Characterizing 2-crossing-critical graphs
- Nearly light cycles in embedded graphs and crossing-critical graphs
- ON THE ADDITIVITY OF CROSSING NUMBERS OF GRAPHS
- Crossing numbers of sequences of graphs II: Planar tiles
- On the crossing numbers of Cartesian products with trees
- The crossing number of K5,n
This page was built for publication: Infinite families of crossing-critical graphs with prescribed average degree and crossing number