Coin graphs, Polyhedra, and conformal mapping Original Research Article

This is a brief report on some interesting theorems and their interconnections. All of these results are known, some of them have only recently been proved. The key result, however, though found already in 1935, was almost forgotten and its original proof remained unnoticed until very recently. Therefore, it seems worthwhile to the author to take the opportunity to inform the graph theoretic community about some facts which appear to be not so well known.