Abstract

The NP-hard problem of finding two edge-disjoint Hamiltonian cycles of minimal total weight (also known as 2- PSP min) in a complete (undirected) graph with edge weights 1 and 2 is considered. Polynomial time approximation algorithms are proposed with performance ratios 5/4 (in the case of one weight function) and 11/7 (in the case of two weight functions), respectively.

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