We show that the edges of a 2-connected graph can be partitioned into two color classes so that every vertex is incident with edges of each color and every alternating cycle passes through a single edge. We also show that the edges of a simple graph with minimum vertex degree 6 2 2 can be partitione
Alternating hamiltonian cycles in two colored complete bipartite graphs
โ Scribed by A. G. Chetwynd; A. J. W. Hilton
- Publisher
- John Wiley and Sons
- Year
- 1992
- Tongue
- English
- Weight
- 269 KB
- Volume
- 16
- Category
- Article
- ISSN
- 0364-9024
No coin nor oath required. For personal study only.
โฆ Synopsis
Abstract
We give necessary and sufficient conditions for the existence of an alternating Hamiltonian cycle in a complete bipartite graph whose edge set is colored with two colors.
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