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Aug 18, 2017 at 14:06 comment added Peter Heinig Already van Aardenne-Ehrenfest and de Bruijn in page 207 of their original paper are very explicit about allowing quivers (without using that term, of course). Also, a wonderfully detailed exposition of Paul Klingsberg seems useful to point out here.
Aug 18, 2017 at 14:05 comment added Peter Heinig Re the rendition of the original BEST theorem (I am not speaking about the proposed variant here), in particular re "in a balaced digraph" in the OP: to me it seems an underappreciated fact(or at least, drowned-in-the-usual-terminological-confusion-about-what-"digraph"-means-precisely fact) that the BEST theorem is true for every degree-balanced finite quiver. That is, multiple arcs and loops are allowed.
Jul 6, 2011 at 8:16 vote accept tomate
Jul 5, 2011 at 22:02 answer added Gerhard Paseman timeline score: 1
Jul 1, 2011 at 20:21 comment added Gerhard Paseman Try drawing a line segment between the two unbalanced vertices, and then use the previous result. Gerhard "The Shortest Distance Between Results..." Paseman, 2011.07.01
Jul 1, 2011 at 16:31 history asked tomate CC BY-SA 3.0