On path-coverings and Hamilton-connectivity of finite graphs
✍ Scribed by Norbert Köhler
- Book ID
- 112499319
- Publisher
- Springer
- Year
- 1981
- Tongue
- English
- Weight
- 198 KB
- Volume
- 36
- Category
- Article
- ISSN
- 0003-889X
No coin nor oath required. For personal study only.
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## Abstract The topological approach to the study of infinite graphs of Diestel and KÜhn 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 4‐edge‐connected graph is hamiltonian. We prove a
## Abstract Let __G__ be a graph and let __V__~0~ = {ν∈ __V__(__G__): __d__~__G__~(ν) = 6}. We show in this paper that: (i) if __G__ is a 6‐connected line graph and if |__V__~0~| ≤ 29 or __G__[__V__~0~] contains at most 5 vertex disjoint __K__~4~'s, then __G__ is Hamilton‐connected; (ii) every 8‐co
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