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The max clique problem in classes of string-graphs. (English) Zbl 0764.68129

Summary: A string-graph is an intersection graph of a set of curves in the plane. Investigating the complexity of the max clique problem for some classes of string-graphs we obtain NP-completeness results on one hand and polynomial time algorithms on the other hand for string-graph-classes of at first sight surprising similarity.

MSC:

68R10 Graph theory (including graph drawing) in computer science
05C85 Graph algorithms (graph-theoretic aspects)
68Q25 Analysis of algorithms and problem complexity
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References:

[1] Ehrlich, S.; Even, S.; Tarjan, R. E., Intersection graphs of curves in the plane, J. Combin. Theory Ser. B, 21, 8-20 (1976) · Zbl 0348.05113
[2] Garey, M. R.; Johnson, D. S., Computers and Intractability (1978), Freeman: Freeman New York · Zbl 0379.68035
[3] Kratochvil, J.; Goljan, M.; Kuc̆era, P., String Graphs (1986), Academia: Academia Praha · Zbl 0607.05031
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