Node disjoint paths of minimum total lenght on 2-trees

The problem of finding p(and even 2) node disjoint paths on a digraph, connecting p pair of terminals is NP-complete. For directed k-trees however, the problem is polynomial. In this paper, we give a linear algorithm for the corresponding optimisation problem on 2-trees and for the case p=2, we characterize te convex hull of the corresponding edge incidence vectors. The optimization algorithm ramains linear and independent of p for k > or equal 3 if the terminals are distinct


Year:
1988
Note:
PRO 88.05, No dates
Laboratories:




 Record created 2006-02-13, last modified 2018-01-27


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