I know that Peterson graph is not planar.But in this graph how can I determine the regions of the faces.How many faces does it include? Two faces can't include a common region right?
2026-05-14 12:35:57.1778762157
No.of faces in Peterson graph
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The concept of "face" is not really defined for non-planar graphs. One can count the faces in the simplest embeddings of the graph into some surface. The Petersen graph can be embedded in the real projective plane with 6 faces (as the quotient of a dodecahedron by the antipodal map), or on the torus with 5 faces.