A graph with at least two vertices is matching covered if it is connected and each edge lies in some perfect matching. A matching covered graph G is extremal if the number of perfect matchings of G is equal to the dimension of the lattice spanned by the set of incidence
β¦ LIBER β¦
Graphs of Triangulations and Perfect Matchings
β Scribed by M.E. Houle; F. Hurtado; M. Noy; E. Rivera-Campo
- Publisher
- Springer Japan
- Year
- 2005
- Tongue
- English
- Weight
- 139 KB
- Volume
- 21
- Category
- Article
- ISSN
- 0911-0119
No coin nor oath required. For personal study only.
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The wing-graph W (G) of a graph G has all edges of G as its vertices; two edges of G are adjacent in W (G) if they are the nonincident edges (called wings) of an induced path on four vertices in G. HoΓ ng conjectured that if W (G) has no induced cycle of odd length at least five, then G is perfect. A