MathDB
Assigning vertices to faces in planar graph

Source: KoMaL A. 848

April 12, 2023
combinatoricsgraph theory

Problem Statement

Let GG be a planar graph, which is also bipartite. Is it always possible to assign a vertex to each face of the graph such that no two faces have the same vertex assigned to them?
Submitted by Dávid Matolcsi, Budapest