Optimal enclosing regions in planar graphs
โ Scribed by Daniel Bienstock; Clyde L. Monma
- Publisher
- John Wiley and Sons
- Year
- 1989
- Tongue
- English
- Weight
- 942 KB
- Volume
- 19
- Category
- Article
- ISSN
- 0028-3045
No coin nor oath required. For personal study only.
๐ SIMILAR VOLUMES
Given a set P of n points in the plane, we consider the problem of finding a planar rectilinear annulus of minimum width which encloses the set P. We present an optimal O(n log n) algorithm for this problem.
Given four distinct vertices in a 4-connected planar graph G, we characterize when the graph G contains a K 4 -subdivision with the given vertices as its degree three vertices. This result implies the following conjecture of Robertson and Thomas: a 5-connected planar graph has no K 4 -subdivision wi
This paper generalizes a theorem of Thomassen on paths in planar graphs. As a corollary, it is shown that every 4-connected planar graph has a Hamilton path between any two specified vertices x, y and containing any specified edge other than xy.