## Abstract Let __G__ be a connected graph of order __p__ β₯ 2, with edgeβconnectivity ΞΊ~1~(__G__) and minimum degree Ξ΄(__G__). It is shown her ethat in order to obtain the equality ΞΊ~1~(__G__) = Ξ΄(__G__), it is sufficient that, for each vertex __x__ of minimum degree in __G__, the vertices in the n
Sufficient degree conditions for k-edge-connectedness of a graph
β Scribed by D. Bauer; S.L. Hakimi; N. Kahl; E. Schmeichel
- Publisher
- John Wiley and Sons
- Year
- 2009
- Tongue
- English
- Weight
- 83 KB
- Volume
- 54
- Category
- Article
- ISSN
- 0028-3045
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## Abstract For a graph __G__, let __n__(__G__), ΞΊ(__G__) and Ξ΄(__G__) denote the order, the connectivity, and the minimum degree of __G__, respectively. The paper contains some conditions on __G__ implying ΞΊ(__G__) = Ξ΄(__G__). One of the conditions is that __n__(__G__) β€ Ξ΄(__G__)(2__p__ β1)/(2__p_
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