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Tutte's 5-flow conjecture for the projective plane

✍ Scribed by Richard Steinberg

Publisher
John Wiley and Sons
Year
1984
Tongue
English
Weight
300 KB
Volume
8
Category
Article
ISSN
0364-9024

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✦ Synopsis

Heawood proved that every planar graph with no 1-cycles is vertex 5colorable, which is equivalent to the statement that every planar graph with no 1-bonds has a nowhere-zero 5-flow. Tutte has conjectured that every graph with no 1-bonds has a nowhere-zero 5-flow. We show that Tutte's 5-Flow Conjecture is true for all graphs embeddable in the real projective plane.

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