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# Map graphs

@article{Chen2002MapG, title={Map graphs}, author={Zhi-Zhong Chen and Michelangelo Grigni and Christos H. Papadimitriou}, journal={J. ACM}, year={2002}, volume={49}, pages={127-138} }

- Published 2002 in J. ACM
DOI:10.1145/506147.506148

We consider a modified notion of planarity, in which two nations of a map are considered adjacent when they share any point of their boundaries (not necessarily an edge, as planarity requires). Such adjacencies define a map graph. We give an NP characterization for such graphs, derive some consequences regarding sparsity and coloring, and survey some algorithmic results.Â

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