Perfect matchings extend to Hamilton cycles in hypercubes
✍ Scribed by Jiří Fink
- Book ID
- 108167426
- Publisher
- Elsevier Science
- Year
- 2007
- Tongue
- English
- Weight
- 87 KB
- Volume
- 97
- Category
- Article
- ISSN
- 0095-8956
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📜 SIMILAR VOLUMES
A perfect matching or a l-factor of a graph G is a spanning subgraph that is regular of degree one. Hence a perfect matching is a set of independent edges which matches all the nodes of G in pairs. Thus in a hypercube parallel processor, the number of perfect matchings evaluates the number of diff
Let H be a hexagonal system. The Z-transformation graph Z(H) is the graph where the vertices are the perfect matchings of H and where two perfect matchings are joined by an edge provided their symmetric difference is a hexagon of H (Z. Fu-ji et al., 1988). In this paper we prove that Z(H) has a Hami