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Routing with critical paths. (English) Zbl 0695.68045
Summary: Given an undirected graph, a set of simple paths in the graph and a bound for each path, we wish to know whether the vertices of the graph can be laid out on a line so that each path is stretched no more than its bound. The problem is solvable in polynomial time for fixed bounds and path lengths.

MSC:
68Q25 Analysis of algorithms and problem complexity
68R10 Graph theory (including graph drawing) in computer science
90C39 Dynamic programming
05C10 Planar graphs; geometric and topological aspects of graph theory
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