(definition)

**Definition:**
A *path* that repeats no *vertex*, except that the first and last may be the same vertex.

**Specialization** (... is a kind of me.)

*Hamiltonian path*, *cycle*.

**See also**
enumerate *all simple paths* between two vertices.

*Note:
In August 2017 the definition changed to allow the first and last vertex to be the same, consistent with Knuth [Knuth98, 1:363]. Before, the definition was "A path that repeats no vertex."*

Author: PEB

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Entry modified 24 August 2017.

HTML page formatted Wed Mar 13 12:42:46 2019.

Cite this as:

Paul E. Black, "simple path", in
*Dictionary of Algorithms and Data Structures* [online], Paul E. Black, ed. 24 August 2017. (accessed TODAY)
Available from: https://www.nist.gov/dads/HTML/simplepath.html