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Disjoint edges in geometric graphs

✍ Scribed by N. Alon; P. Erdös


Publisher
Springer
Year
1989
Tongue
English
Weight
235 KB
Volume
4
Category
Article
ISSN
0179-5376

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Edge-disjoint maximal planar graphs
✍ Sharon G. Boswell; Jamie Simpson 📂 Article 📅 1998 🏛 Elsevier Science 🌐 English ⚖ 316 KB

We show that if n >~6m then it is possible to construct m edge-disjoint maximal planar graphs on a set of n vertices, but that it is not possible if n < 6m -1. We also show that given a pair of edge-disjoint maximal planar graphs, and a specified face in one, there exist at least three faces in the