\(1\)-local \(7/5\)-competitive algorithm for multicoloring hexagonal graphs. (English) Zbl 1236.05198
Haouari, M. (ed.) et al., ISCO 2010. International symposium on combinatorial optimization. Papers based on the presentations at the symposium, Hammamet, Tunesia, March 24–26, 2010. Amsterdam: Elsevier. Electronic Notes in Discrete Mathematics 36, 375-382 (2010).
Summary: Hexagonal graphs are graphs induced on subsets of vertices of triangular lattice. They arise naturally in studies of cellular networks. We present a \(1\)-local \(7/5\)-competitive distributed algorithm for multicoloring a hexagonal graph, thereby improving the previous \(1\)-local \(17/12\)-competitive algorithm.
For the entire collection see [Zbl 1236.90011].
For the entire collection see [Zbl 1236.90011].
MSC:
| 05C85 | Graph algorithms (graph-theoretic aspects) |
| 05C15 | Coloring of graphs and hypergraphs |
| 05C90 | Applications of graph theory |
| 92E10 | Molecular structure (graph-theoretic methods, methods of differential topology, etc.) |
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