Degree constrained orientations in countable graphs
The electronic journal of combinatorics, Tome 15 (2008)
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.
DOI :
10.37236/846
Classification :
05C20
Mots-clés : degree constrained orientations, indegree function, lower bound, upper bound, countable graphs
Mots-clés : degree constrained orientations, indegree function, lower bound, upper bound, countable graphs
@article{10_37236_846,
author = {Attila Bern\'ath and Henning Bruhn},
title = {Degree constrained orientations in countable graphs},
journal = {The electronic journal of combinatorics},
year = {2008},
volume = {15},
doi = {10.37236/846},
zbl = {1180.05051},
url = {http://geodesic.mathdoc.fr/articles/10.37236/846/}
}
Attila Bernáth; Henning Bruhn. Degree constrained orientations in countable graphs. The electronic journal of combinatorics, Tome 15 (2008). doi: 10.37236/846
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