Necessary and sufficient condition for a graph to be three-terminal series-parallel
β Scribed by Nishizeki, T.; Saito, N.
- Book ID
- 117913711
- Publisher
- IEEE
- Year
- 1975
- Weight
- 837 KB
- Volume
- 22
- Category
- Article
- ISSN
- 0098-4094
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## Abstract The core __G__Ξ of a simple graph __G__ is the subgraph induced by the vertices of maximum degree. It is well known that the Petersen graph is not 1βfactorizable and has property that the core of the graph obtained from it by removing one vertex has maximum degree 2. In this paper, we p
graph a b s t r a c t Let G be a graph, and k a positive integer. Let h : E(G) β [0, 1] be a function. If β eβx h(e) = k holds for each x β V (G), then we call G[F h ] a fractional k-factor of G with indicator function h where F h = {e β E(G) : h(e) > 0}. A graph G is called a fractional (k, m)delet