## Abstract In this paper, we show that the edge set of a cubic graph can always be partitioned into 10 subsets, each of which induces a matching in the graph. This result is a special case of a general conjecture made by ErdΓΆs and NeΕ‘etΕil: For each __d__ β₯ 3, the edge set of a graph of maximum de
β¦ LIBER β¦
Perfect matchings in planar cubic graphs
β Scribed by Maria Chudnovsky, Paul Seymour
- Book ID
- 118786691
- Publisher
- Springer-Verlag
- Year
- 2012
- Tongue
- English
- Weight
- 256 KB
- Volume
- 32
- Category
- Article
- ISSN
- 0209-9683
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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