A 0.5358-approximation for Bandpass-2

L Huang, W Tong, R Goebel, T Liu, G Lin - Journal of Combinatorial …, 2015 - Springer
Journal of Combinatorial Optimization, 2015Springer
The Bandpass-2 problem is a variant of the maximum traveling salesman problem arising
from optical communication networks using wavelength-division multiplexing technology, in
which the edge weights are dynamic rather than fixed. The previously best approximation
algorithm for this NP-hard problem has a worst-case performance ratio of 227 426. 227 426.
Here we present a novel scheme to partition the edge set of a 4-matching into a number of
subsets, such that the union of each of them and a given matching is an acyclic 2-matching …
Abstract
The Bandpass-2 problem is a variant of the maximum traveling salesman problem arising from optical communication networks using wavelength-division multiplexing technology, in which the edge weights are dynamic rather than fixed. The previously best approximation algorithm for this NP-hard problem has a worst-case performance ratio of Here we present a novel scheme to partition the edge set of a 4-matching into a number of subsets, such that the union of each of them and a given matching is an acyclic 2-matching. Such a partition result takes advantage of a known structural property of the optimal solution, leading to a -approximation algorithm for the Bandpass-2 problem.
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