Cycle graph C_N as planar graph: Euler formula V - E + F = 2 with V = N, E = N, F = 2

Layer 1 — Physicsin the network-physics subtree

Planar-graph Euler-formula framework. Setup: a connected planar graph G embedded in the plane (or sphere) with V vertices, E edges, and F faces (including the outer unbounded face) satisfies Euler's formula V - E + F = 2 (Euler 1752). For…

Related concepts

Euler's polyhedral formula
Theorem: cycle graph C_N Euler characteristic V - E + F = N - N + 2 = 2

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