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Characterization and recognition of partial 3-trees. (English) Zbl 0597.05027
The authors present a polynomial time algorithm for recognizing subgraphs of 3-trees and embedding them into full 3-trees. This is related to some practical questions about reliability of communication networks and about complexity of queries in data base systems. [For the definition of a k- tree see L. W. Beineke and R. E. Pippert, Mathematika 18, 141-151 (1971; Zbl 0221.05057), for an analogous result on 2-trees see J. Wald and C. J. Colbourn, Networks 13, 159-167 (1983; Zbl 0529.68036).]
Reviewer: J.Širáň

MSC:
05C05 Trees
05C10 Planar graphs; geometric and topological aspects of graph theory
90B25 Reliability, availability, maintenance, inspection in operations research
68P20 Information storage and retrieval of data
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