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On the structure of polyhedral graphs with prescribed edge and dual edge weight. (English) Zbl 1103.05026
Summary: We consider families of polyhedral graphs with prescribed minimum vertex degree $$\delta$$, minimum face degree $$\rho$$, minimum edge weight $$w$$ and dual edge weight $$w^*$$. We determine all quadruples $$(\delta,\rho,w,w^*)$$ for which the asociated family is nonempty.

##### MSC:
 05C10 Planar graphs; geometric and topological aspects of graph theory
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