# Albertson, Michael O.

## Crossing numbers and coloring ★★★

Author(s): Albertson

We let denote the crossing number of a graph .

**Conjecture**Every graph with satisfies .

Keywords: coloring; complete graph; crossing number

## Partial List Coloring ★★★

Author(s): Albertson; Grossman; Haas

**Conjecture**Let be a simple graph with vertices and list chromatic number . Suppose that and each vertex of is assigned a list of colors. Then at least vertices of can be colored from these lists.

Keywords: list assignment; list coloring