In graph theoryMathworldPlanetmath, a loop is an edge which joins a vertex to itself, rather than to some other vertex. By definition, a graph cannot contain a loop; a pseudographMathworldPlanetmath, however, may contain both multiple edges and multiple loops. Note that by some definitions, a multigraphMathworldPlanetmath may contain multiple edges and no loops, while other texts define a multigraph as a graph allowing multiple edges and multiple loops.

In algebraPlanetmathPlanetmathPlanetmath, a loop is a quasigroup which contains an identity elementMathworldPlanetmath.

Title loop
Canonical name Loop
Date of creation 2013-03-22 12:14:08
Last modified on 2013-03-22 12:14:08
Owner drini (3)
Last modified by drini (3)
Numerical id 10
Author drini (3)
Entry type Definition
Classification msc 05C99
Classification msc 20N05
Related topic Graph
Related topic Pseudograph
Related topic Quasigroup