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Theoremintro

Euler's theorem on Eulerian graphs

Also called Euler's characterization of Eulerian circuits.

A connected graph has an Eulerian circuit iff every vertex has even degree; it has an Eulerian path iff at most two vertices have odd degree.

A connected graph has an Eulerian circuit iff every vertex has even degree; it has an Eulerian path iff at most two vertices have odd degree.

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