Hamiltonicity of 3-connected line graphs
β Scribed by Weihua Yang; Liming Xiong; Hongjian Lai; Xiaofeng Guo
- Book ID
- 116217586
- Publisher
- Elsevier Science
- Year
- 2012
- Tongue
- English
- Weight
- 199 KB
- Volume
- 25
- Category
- Article
- ISSN
- 0893-9659
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π SIMILAR VOLUMES
Let G be a k-regular 2-connected graph of order n. Jackson proved that G is hamiltonian if n 5 3k. Zhu and Li showed that the upper bound 3k on n can be relaxed to q k if G is 3-connected and k 2 63. We improve both results by showing that G is hamiltonian if n 5 gk -7 and G does not belong to a res
## Abstract The topological approach to the study of infinite graphs of Diestel and KΓhn has enabled several results on Hamilton cycles in finite graphs to be extended to locally finite graphs. We consider the result that the line graph of a finite 4βedgeβconnected graph is hamiltonian. We prove a