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Five-coloring graphs on the Klein bottle

✍ Scribed by Nathan Chenette; Luke Postle; Noah Streib; Robin Thomas; Carl Yerger


Book ID
119292663
Publisher
Elsevier Science
Year
2012
Tongue
English
Weight
554 KB
Volume
102
Category
Article
ISSN
0095-8956

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We give necessary and sufficient conditions for a directed graph embedded on the torus or the Klein bottle to contain pairwise disjoint circuits, each of a given orientation and homotopy, and in a given order. For the Klein bottle, the theorem is new. For the torus, the theorem was proved before by