Technical Report CS0094

TR#:CS0094
Class:CS
Title: The Complexity of Finding Maximum Disjoint Paths With Length Constraints
Authors: A. Itai, Y. Perl and Y. Shiloach
PDFCS0094.pdf
Abstract: The following problem is considered: Given an integer K, a graph G with two distinct vertices sand t, find the maximum number of disjoint paths of length K from s to t. The problem has several variants: the paths may be vertex-disjoint or edge-disjoint, the lengths of the paths may be equal to K or bounded by' K, the graph may be un~irected or directed. It is shown that except for small values of K all the problems are NP-complete. for each proolem, the largest value of-K for which the problem is not NP-complete is found. Whenever a polynomial algorithm exists, an efficient algorithm is described.
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