# Definition:Adjacent (Graph Theory)/Faces

< Definition:Adjacent (Graph Theory)(Redirected from Definition:Adjacent Faces)

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## Definition

Let $G = \left({V, E}\right)$ be a planar graph.

Two faces of $G$ are **adjacent** if and only if they are both incident to the same edge (or edges).

Note that faces which are both incident to the same vertex are *not* considered adjacent unless they are also both incident to the same edge.