How to make a graph four-connected
✍ Scribed by Ervin Győri; Tibor Jordán
- Publisher
- Springer-Verlag
- Year
- 1999
- Tongue
- English
- Weight
- 92 KB
- Volume
- 84
- Category
- Article
- ISSN
- 0025-5610
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We consider the problem of finding a smallest set of edges whose addition four-connects a triconnected graph. This is a fundamental graph-theoretic problem that has applications in designing reliable networks and improving statistical Ž Ž . . database security. We present an O n и ␣ m, n q m -time a
## Abstract A graph __G__ = (__V__, __E__) is called weakly four‐connected if __G__ is 4‐edge‐connected and __G__ − __x__ is 2‐edge‐connected for all __x__ ∈ __V__. We give sufficient conditions for the existence of ‘splittable’ vertices of degree four in weakly four‐connected graphs. By using thes
Let G be a 2-connected graph, let u and v be distinct vertices in V (G), and let X be a set of at most four vertices lying on a common (u