Let G be a 2-connected d-regular graph on n rd (r 3) vertices and c(G) denote the circumference of G. Bondy conjectured that c(G) 2nΓ(r&1) if n is large enough. In this paper, we show that c(G) 2nΓ(r&1)+2(r&3)Γ(r&1) for any integer r 3. In particular, G is hamiltonian if r=3. This generalizes a resu
On the Circumference of 2-Connected(mathcal{P}_{3})-Dominated Graphs
β Scribed by Jiangyan Guo; Elkin Vumar
- Publisher
- Springer Japan
- Year
- 2008
- Tongue
- English
- Weight
- 157 KB
- Volume
- 24
- Category
- Article
- ISSN
- 0911-0119
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