## Euler circuitAn Euler circuit is a connected graph such that starting at a vertex a, one can traverse
every edge of the graph once to each of the other
vertices and return to vertex a. In other words an Euler circuit
is an Euler path that is a circuit. Thus,
using the properties of odd and even degree vertices given in the definition
of an Euler path, an Euler circuit exists if and only if every vertex of
the graph has an even degree. ## Related entry• maze## Related category• GRAPHS AND GRAPH THEORY | |||||

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