We describe a general sufficient condition for a Hamiltonian graph to contain another Hamiltonian cycle. We apply it to prove that every longest cycle in a 3-connected cubic graph has a chord. We also verify special cases of an old conjecture of Sheehan on Hamiltonian cycles in 4-regular graphs and
Longest cycles and their chords
β Scribed by Cun-Quan Zhang
- Publisher
- John Wiley and Sons
- Year
- 1987
- Tongue
- English
- Weight
- 386 KB
- Volume
- 11
- Category
- Article
- ISSN
- 0364-9024
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β¦ Synopsis
Thomassen conjectured that any longest cycle of a 3-connected graph has a chord. In this paper, we will show that the conjecture is true for a planar graph if it is cubic or 6 2 4.
π SIMILAR VOLUMES
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