At most single-bend embeddings of cubic graphs
β Scribed by Liu Yanpei; P. Marchioro; R. Petreschi
- Book ID
- 112818126
- Publisher
- SP Editorial Committee of Applied Mathematics - A Journal of Chinese Universities
- Year
- 1994
- Tongue
- English
- Weight
- 701 KB
- Volume
- 9
- Category
- Article
- ISSN
- 1005-1031
No coin nor oath required. For personal study only.
π SIMILAR VOLUMES
## Abstract We prove that every simple cubic planar graph admits a planar embedding such that each edge is embedded as a straight line segment of integer length. Β© 2008 Wiley Periodicals, Inc. J Graph Theory 58:270β274, 2008
We show an embedding of the star graph into a rectangular optical multichannel mesh of d dimensions such that the embedding has no bends; that is, neighbors in the star graph always differ in exactly one coordinate in the mesh, to facilitate one-hop optical communication. To embed an n-star, the mes
In this paper we characterize the class of plane graphs that can be embedded on the twodimensional grid with at most one bend on each edge. In addition, we provide an algorithm that either detects a forbidden conΓΏguration or generates an embedding with at most one bend on each edge.