## Nonrepetitive colourings of planar graphs ★★

Author(s): Alon N.; Grytczuk J.; Hałuszczak M.; Riordan O.

**Question**Do planar graphs have bounded nonrepetitive chromatic number?

Keywords: nonrepetitive colouring; planar graphs

## General position subsets ★★

Author(s): Gowers

**Question**What is the least integer such that every set of at least points in the plane contains collinear points or a subset of points in general position (no three collinear)?

## Colouring $d$-degenerate graphs with large girth ★★

Author(s): Wood

**Question**Does there exist a -degenerate graph with chromatic number and girth , for all and ?

Keywords: degenerate; girth

## Forcing a 2-regular minor ★★

**Conjecture**Every graph with average degree at least contains every 2-regular graph on vertices as a minor.

Keywords: minors