A (<5)-Colour Theorem for Planar Graphs
โ Scribed by Hilton, A. J. W.; Rado, R.; Scott, S. H.
- Book ID
- 120094537
- Publisher
- Oxford University Press
- Year
- 1973
- Tongue
- English
- Weight
- 115 KB
- Volume
- 5
- Category
- Article
- ISSN
- 0024-6093
No coin nor oath required. For personal study only.
๐ SIMILAR VOLUMES
C. Thomassen extended Tutte's theorem on cycles in planar graphs in the paper "A Theorem on Paths in Planar Graphs". This note corrects a flaw in his proof.
We prove a theorem on paths with prescribed ends in a planar graph which extends Tutte's theorem on cycles in planar graphs [9] and implies the conjecture of Plummer (51 asserting that every 4-connected planar graph is Hamiltonian-connected.
The four-colour theorem is one of the famous problems of mathematics, that frustrated generations of mathematicians from its birth in 1852 to its solution (using substantial assistance from electronic computers) in 1976. The theorem asks whether four colours are sufficient to colour all conceivable