(definition)

**Definition:**
A list of *vertices* of a *graph* where each vertex has an *edge* between it and the next vertex.

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

*simple path*, *shortest path*, *cycle*, *Hamiltonian cycle*, *Euler cycle*, *alternating path*.

**See also**
*all pairs shortest path*, *all simple paths*.

*Note:
A path is usually assumed to be a simple path, unless otherwise defined. *

* In a directed graph, each vertex has an edge from it to the next vertex.*

Author: PEB

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Entry modified 24 August 2017.

HTML page formatted Tue Jan 16 10:34:44 2018.

Cite this as:

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