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Intersection graphs of vertex disjoint paths in a tree. (English) Zbl 0837.05094
The paper characterizes the intersection graphs of internally vertex disjoint path in a tree in terms of maximal clique separators and by forbidden subgraphs and presents an algorithm recognizing these graphs in time \(O(n^4m)\).
Reviewer: H.Müller (Jena)

MSC:
05C75 Structural characterization of families of graphs
05C85 Graph algorithms (graph-theoretic aspects)
05C05 Trees
05C38 Paths and cycles
68R10 Graph theory (including graph drawing) in computer science
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References:
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