Probe Split Graphs

نویسندگان

  • Van Bang Le
  • H. N. de Ridder
چکیده

An undirected graph G = (V, E) is a probe split graph if its vertex set can be partitioned into two sets, N (nonprobes) and P (probes) where N is independent and there exists E′ ⊆ N ×N such that G′ = (V, E ∪ E′) is a split graph. Recently Chang et al. gave an O(V (V +E)) time recognition algorithm for probe split graphs. In this article we give O(V 2 +V E) time recognition algorithms and characterisations by forbidden induced subgraphs both for the case when the partition into probes and non-probes is given, and when it is not given.

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عنوان ژورنال:
  • Discrete Mathematics & Theoretical Computer Science

دوره 9  شماره 

صفحات  -

تاریخ انتشار 2007