Partitioning graph matching with constraints
β Scribed by Richard E. Blake
- Publisher
- Elsevier Science
- Year
- 1994
- Tongue
- English
- Weight
- 420 KB
- Volume
- 27
- Category
- Article
- ISSN
- 0031-3203
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π SIMILAR VOLUMES
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
## Abstract Suppose that __G__ is a finite simple graph with |__V__(__G__)| = 2__n__ (__n__ β 3). a partition (__X,Y__) of __V__(__G__) is balanced if (i) |__X__| = |__Y__| = __n__, (ii) Ξ΄(__X__) β₯ 1, Ξ΄(__Y__) β₯ 1. Where Ξ΄(__X__) is the minimum degree of the induced subgraph γXγ with vertex set
Sheehan, J., Balanced graphs with minimum degree constraints, Discrete Mathematics 102 (1992) 307-314. Let G be a finite simple graph on n vertices with minimum degree 6 = 6(G) (n = 6 (mod 2)). Suppose that 0 < 6 c n -2, 06 i 4 [?Sl. A partition (x, Y) of V(G) is said to be an (i, a)-partition of G