- Online Multi-Coloring with Advice.
- Marie G. Christ, Lene M. Favrholdt, and Kim S. Larsen.
Theoretical Computer Science. Accepted for publication.
We consider the problem of online graph multi-coloring with advice.
Multi-coloring is often used to model frequency allocation in
We give several nearly tight upper and lower bounds for the most standard
topologies of cellular networks, paths and hexagonal graphs.
For the path, negative results trivially carry over to bipartite
graphs, and our positive results are also valid for bipartite graphs.
For hexagonal graphs, negative results trivially carry over to 3-colorable
graphs, and most of our positive results do as well.
The advice given represents information that is likely to be available,
studying for instance the data from earlier similar periods of time.
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