## dedicated to professor w. t. tutte on the occasion of his eightieth birthday Tutte made the conjecture in 1966 that every 2-connected cubic graph not containing the Petersen graph as a minor is 3-edge-colourable. The conjecture is still open, but we show that it is true, in general, provided it
Two conjectures on edge-colouring
โ Scribed by A.J.W. Hilton
- Publisher
- Elsevier Science
- Year
- 1989
- Tongue
- English
- Weight
- 311 KB
- Volume
- 74
- Category
- Article
- ISSN
- 0012-365X
No coin nor oath required. For personal study only.
โฆ Synopsis
Chetwynd and Hilton have elsewhere posed two conjectures, one a general statement on edge-colouring simple graphs G with A(G) > i lV(G)I, and a second to the effect that a regular simple graph G with d(G) 3 -1 IV(G)
1 is l-factorizable. We set out the evidence for both these conjectures and show that the first implies the second.
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