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¦
Independent sets versus perfect matchings
β Scribed by Shang-Hua Teng
- Publisher
- Elsevier Science
- Year
- 1995
- Tongue
- English
- Weight
- 618 KB
- Volume
- 145
- Category
- Article
- ISSN
- 0304-3975
No coin nor oath required. For personal study only.
π SIMILAR VOLUMES
Graphs with independent perfect matching
β
Marcelo H. de Carvalho; ClΓ‘udio L. Lucchesi; U. S. R. Murty
π
Article
π
2004
π
John Wiley and Sons
π
English
β 241 KB
Independent perfect domination sets in C
β
Jaeun Lee
π
Article
π
2001
π
John Wiley and Sons
π
English
β 92 KB
π 1 views
## Abstract In this paper, we show that a Cayley graph for an abelian group has an independent perfect domination set if and only if it is a covering graph of a complete graph. As an application, we show that the hypercube __Q~n~__ has an independent perfect domination set if and only if __Q~n~__ i