Degree Constrained Orientations in Countable Graphs

Attila Bernáth, Henning Bruhn

Abstract


Degree constrained orientations are orientations of an (undirected) graph where the in-degree function satisfies given lower and upper bounds. For finite graphs Frank and Gyárfás (1976) gave a necessary and sufficient condition for the existence of such an orientation. We extend their result to countable graphs.


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