𝔖 Bobbio Scriptorium
✦   LIBER   ✦

On maximal planarization of nonplanar graphs

✍ Scribed by Thulasiraman, K.; Jayakumar, R.; Swamy, M.


Book ID
114614067
Publisher
IEEE
Year
1986
Weight
258 KB
Volume
33
Category
Article
ISSN
0098-4094

No coin nor oath required. For personal study only.


πŸ“œ SIMILAR VOLUMES


Planar Graphs on Nonplanar Surfaces
✍ Bojan Mohar; Neil Robertson πŸ“‚ Article πŸ“… 1996 πŸ› Elsevier Science 🌐 English βš– 738 KB

It is shown that embeddings of planar graphs in arbitrary surfaces other than the 2-sphere have a special structure. It turns out that these embeddings can be described in terms of noncontractible curves in the surface, meeting the graph in at most two points (which may taken to be vertices of the g

On the connectivity of maximal planar gr
✍ S. L. Hakimi; E. F. Schmeichel πŸ“‚ Article πŸ“… 1978 πŸ› John Wiley and Sons 🌐 English βš– 254 KB πŸ‘ 1 views
Edge-disjoint maximal planar graphs
✍ Sharon G. Boswell; Jamie Simpson πŸ“‚ Article πŸ“… 1998 πŸ› Elsevier Science 🌐 English βš– 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

Maximal planar graphs of diameter two
✍ Karen Seyffarth πŸ“‚ Article πŸ“… 1989 πŸ› John Wiley and Sons 🌐 English βš– 1020 KB

A maximal planar graph is a simple planar graph in which every face is a triangle. We show here that such graphs with maximum degree A and diameter two have no more than :A + 1 vertices. We also show that there exist maximal planar graphs with diameter two and exactly LiA + 1 J vertices.