, Volume 45, Issue 2, pp 227–262

Recognizing Hole-Free 4-Map Graphs in Cubic Time


    • Department of Mathematical Sciences, Tokyo Denki University, Hatoyama, Saitama 350-0394
    • Department of Mathematics and Computer Science, Emory University, Atlanta, GA 30322
    • Computer Science Division, University of California at Berkeley, Berkeley, CA 94720

DOI: 10.1007/s00453-005-1184-8

Cite this article as:
Chen, Z., Grigni, M. & Papadimitriou, C. Algorithmica (2006) 45: 227. doi:10.1007/s00453-005-1184-8


We present a cubic-time algorithm for the following problem: Given a simple graph, decide whether it is realized by adjacencies of countries in a map without holes, in which at most four countries meet at any point.

Planar graphsMapsMap graphsCliquesGraph algorithms

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© Springer 2006