Tutte's 5-flow conjecture for the projective plane

Steinberg, Richard ORCID: 0000-0001-9636-472X (1984) Tutte's 5-flow conjecture for the projective plane. Journal of Graph Theory, 8 (2). pp. 277-285. ISSN 0364-9024

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Abstract

Heawood proved that every planar graph with no 1-cycles is vertex 5-colorable, 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.

Item Type:	Article
Official URL:	http://www3.interscience.wiley.com/journal/35334/h...
Additional Information:	© 1984 Wiley Periodicals, Inc.
Divisions:	Management
Subjects:	Q Science > QA Mathematics
Date Deposited:	16 Apr 2009 09:31
Last Modified:	11 Dec 2024 21:51
URI:	http://eprints.lse.ac.uk/id/eprint/23597

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