Vertex degrees of planar graphs
β Scribed by R.J Cook
- Publisher
- Elsevier Science
- Year
- 1979
- Tongue
- English
- Weight
- 334 KB
- Volume
- 26
- Category
- Article
- ISSN
- 0095-8956
No coin nor oath required. For personal study only.
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## Abstract The __Mβdegree__ of an edge __xy__ in a graph is the maximum of the degrees of __x__ and __y__. The __Mβdegree__ of a graph __G__ is the minimum over __M__βdegrees of its edges. In order to get upper bounds on the game chromatic number, He et al showed that every planar graph __G__ with
In this article, the relationship between vertex degrees and entries of the doubly stochastic graph matrix has been investigated. In particular, we present an upper bound for the main diagonal entries of a doubly stochastic graph matrix and investigate the relations between a kind of distance for gr