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doi: 10.46298/dmtcs.401
Graphs and Algorithms An undirected graph G=(V,E) is a probe split graph if its vertex set can be partitioned into two sets, N (non-probes) 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(V4(V+E)) time recognition algorithm for probe split graphs. In this article we give O(V2+VE) 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.
[INFO.INFO-DM] Computer Science [cs]/Discrete Mathematics [cs.DM], QA1-939, [info.info-dm] computer science [cs]/discrete mathematics [cs.dm], [INFO.INFO-DM]Computer Science [cs]/Discrete Mathematics [cs.DM], Mathematics
[INFO.INFO-DM] Computer Science [cs]/Discrete Mathematics [cs.DM], QA1-939, [info.info-dm] computer science [cs]/discrete mathematics [cs.dm], [INFO.INFO-DM]Computer Science [cs]/Discrete Mathematics [cs.DM], Mathematics
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