𝔖 Bobbio Scriptorium
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Colouring of graphs with Ramsey-type forbidden subgraphs

✍ Scribed by Dabrowski, Konrad K.; Golovach, Petr A.; Paulusma, Daniel


Book ID
122167616
Publisher
Elsevier Science
Year
2014
Tongue
English
Weight
321 KB
Volume
522
Category
Article
ISSN
0304-3975

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On planar intersection graphs with forbi
✍ JΓ‘nos Pach; Micha Sharir πŸ“‚ Article πŸ“… 2008 πŸ› John Wiley and Sons 🌐 English βš– 154 KB

## Abstract Let ${\cal C}$ be a family of __n__ compact connected sets in the plane, whose intersection graph $G({\cal C})$ has no complete bipartite subgraph with __k__ vertices in each of its classes. Then $G({\cal C})$ has at most __n__ times a polylogarithmic number of edges, where the exponent