We consider the standard random geometric graph process in which n vertices are placed at random on the unit square and edges are sequentially added in increasing order of edge-length. For fixed k β₯ 1, we prove that the first edge in the process that creates a k-connected graph coincides a.a.s. with
Separating and Nonseparating Disjoint Homotopic Cycles in Graph Embeddings
β Scribed by Richard Brunet; Bojan Mohar; R.Bruce Richter
- Publisher
- Elsevier Science
- Year
- 1996
- Tongue
- English
- Weight
- 1023 KB
- Volume
- 66
- Category
- Article
- ISSN
- 0095-8956
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