Computing minimum geodetic sets of proper interval graphs


EKİM T., Erey A., Heggernes P., Van 'T Hof P., Meister D.

10th Latin American Symposiumon Theoretical Informatics, LATIN 2012, Arequipa, Peru, 16 - 20 Nisan 2012, cilt.7256 LNCS, ss.279-290, (Tam Metin Bildiri)

  • Yayın Türü: Bildiri / Tam Metin Bildiri
  • Cilt numarası: 7256 LNCS
  • Doi Numarası: 10.1007/978-3-642-29344-3_24
  • Basıldığı Şehir: Arequipa
  • Basıldığı Ülke: Peru
  • Sayfa Sayıları: ss.279-290
  • Boğaziçi Üniversitesi Adresli: Evet

Özet

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.