An Eberhard-like theorem for pentagons and heptagons

Matt DeVos, Agelos Georgakopoulos, Bojan Mohar +1

Eberhard proved that for every sequence $(p_k),3\le k\le r,k\ne 5,7$ of non-negative integers satisfying Euler's formula ${\sum }_{k\ge 3}(6-k)p_k=12$, there are infinitely many…