In this article, we establish bounds for the length of a longest cycle C in a 2-connected graph G in terms of the minimum degree ฮด and the toughness t. It is shown that C is a Hamiltonian cycle or |C| โฅ (t + 1)ฮด + t.
Cycles in butterfly graphs
โ Scribed by Hwang, Shien-Ching; Chen, Gen-Huey
- Publisher
- John Wiley and Sons
- Year
- 2000
- Tongue
- English
- Weight
- 214 KB
- Volume
- 35
- Category
- Article
- ISSN
- 0028-3045
No coin nor oath required. For personal study only.
โฆ Synopsis
Three problems in connection with cycles on the butterfly graphs are studied in this paper. The first problem is to construct complete uniform cycle partitions for the butterfly graphs. Suppose that
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