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Editorial Team
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Editorial Team
Asked: May 15, 20262026-05-15T19:29:42+00:00 2026-05-15T19:29:42+00:00

Can some one tell me the difference between hamiltonian path and euler path. They

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Can some one tell me the difference between hamiltonian path and euler path. They seem similar!

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  1. Editorial Team
    Editorial Team
    2026-05-15T19:29:42+00:00Added an answer on May 15, 2026 at 7:29 pm

    An Euler path is a path that passes through every edge exactly once. If it ends at the initial vertex then it is an Euler cycle.

    A Hamiltonian path is a path that passes through every vertex exactly once (NOT every edge). If it ends at the initial vertex then it is a Hamiltonian cycle.

    In an Euler path you might pass through a vertex more than once.

    In a Hamiltonian path you may not pass through all edges.

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