Abstract / Description of output
Let L_1, ..., L_d be pairwise disjoint collections of lines in a d-dimensional vector space over some field. If the collections are sufficiently generic we prove that there exists a d-colouring of the set of multijoints J such that for each j, for each line in L_j, the number of points on it of colour j is O(|J|^{1/d}).
| Original language | English |
|---|---|
| Pages (from-to) | 730-742 |
| Number of pages | 12 |
| Journal | Discrete & computational geometry |
| Volume | 52 |
| Issue number | 4 |
| Early online date | 21 Aug 2014 |
| DOIs | |
| Publication status | Published - 31 Dec 2014 |
Keywords / Materials (for Non-textual outputs)
- 5C15 Colouring f Graphs and Hypergraphs
- 52C99 Discrete geometry
