# Mohar, Bojan

## Matching polynomials of vertex transitive graphs ★★

Author(s): Mohar

**Conjecture**For every integer there exists a vertex transitive graph whose matching polynomial has a root of multiplicity at least .

Keywords: matching polynomial; vertex-transitive

## What is the largest graph of positive curvature? ★

**Problem**What is the largest connected planar graph of minimum degree 3 which has everywhere positive combinatorial curvature, but is not a prism or antiprism?

Keywords: curvature; planar graph