Channel assignment and weighted coloring
โ Scribed by Colin McDiarmid; Bruce Reed
- Publisher
- John Wiley and Sons
- Year
- 2000
- Tongue
- English
- Weight
- 84 KB
- Volume
- 36
- Category
- Article
- ISSN
- 0028-3045
No coin nor oath required. For personal study only.
๐ SIMILAR VOLUMES
The vertex-labeling of graphs with nonnegative integers provides a natural setting in which to study problems of radio channel assignment. Vertices correspond to transmitter locations and their labels to radio channels. As a model for the way in which interference is avoided in real radio systems, e
We address various channel assignment problems on the Cayley graphs of certain groups, computing the frequency spans by applying group theoretic techniques. In particular, we show that if G is the Cayley graph of an n-generated group with a certain kind of presentation, then (G; k, 1) โค 2(k +n-1). F