# Gallai, Tibor

## Decomposing a connected graph into paths. ★★★

Author(s): Gallai

**Conjecture**Every simple connected graph on vertices can be decomposed into at most paths.

Keywords:

## Do any three longest paths in a connected graph have a vertex in common? ★★

Author(s): Gallai

**Conjecture**Do any three longest paths in a connected graph have a vertex in common?

Keywords: