## Abstract Suppose that __G__ is a finite simple graph with |__V__(__G__)| = 2__n__ (__n__ ≠ 3). a partition (__X,Y__) of __V__(__G__) is balanced if (i) |__X__| = |__Y__| = __n__, (ii) δ(__X__) ≥ 1, δ(__Y__) ≥ 1. Where δ(__X__) is the minimum degree of the induced subgraph 〈X〉 with vertex set
Graph Orientations with Edge-connection and Parity Constraints
✍ Scribed by András Frank; Zoltán Király
- Publisher
- Springer-Verlag
- Year
- 2002
- Tongue
- English
- Weight
- 334 KB
- Volume
- 22
- Category
- Article
- ISSN
- 0209-9683
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It was proved by Chartrand f hat if G is a graph of order p for which the minimum degree is at least [&I, then the edge-connectivity of G equals the minimum degree of G. It is shown here that one may allow vertices of degree less than $p and still obtain the same conclusion, provided the degrees are
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