Mohar, Bojan

Matching polynomials of vertex transitive graphs ★★

Author(s): Mohar

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

Keywords: matching polynomial; vertex-transitive

What is the largest graph of positive curvature?

Author(s): DeVos; Mohar

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

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