Geodesic
On rigid quivers
Fundamentalʹnaâ i prikladnaâ matematika, Tome 12 (2006) no. 8, pp. 105-120

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We consider quivers that appear in the theory of tiled orders, in particular, rigid quivers. We prove that a quiver having a loop at each vertex is not rigid, and the quiver associated with a finite partially ordered set having one minimal element is rigid. 
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     title = {On rigid quivers},
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V. V. Kirichenko; V. N. Zhuravlev; I. N. Tsiganovskaya. On rigid quivers. Fundamentalʹnaâ i prikladnaâ matematika, Tome 12 (2006) no. 8, pp. 105-120. http://geodesic.mathdoc.fr/item/FPM_2006_12_8_a4/