## 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

## Fractional Hadwiger ★★

Author(s): Harvey; Reed; Seymour; Wood

**Conjecture**For every graph ,

(a)

(b)

(c) .

Keywords: fractional coloring, minors