We show that the geodetic number of proper interval graphs can be computed in polynomial time. This problem is -hard on chordal graphs and on bipartite weakly chordal graphs. Only an upper bound on the geodetic number of proper interval graphs has been known prior to our result. © 2012 Springer-Verlag Berlin Heidelberg.
CITATION STYLE
Ekim, T., Erey, A., Heggernes, P., Van ’T Hof, P., & Meister, D. (2012). Computing minimum geodetic sets of proper interval graphs. In Lecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics) (Vol. 7256 LNCS, pp. 279–290). https://doi.org/10.1007/978-3-642-29344-3_24
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