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"Quiver" is the word used for "directed graph" in some parts of representation theory. The main reason to use the term quiver is to indicate an interest in considering representations of the quiver.
7
votes
quiver mutation
First of all, I would like to note that there is a very nice applet, due to Keller, which mutates quivers (and does much more):
http://people.math.jussieu.fr/~keller/quivermutation/
Also, many information … Through a mutation, the associated quivers are related by Fomin-Zelevinsky's quivers mutation in some cases, but not always. …