We present a O(|A|(|V | + |A|)) heuristic Algorithm for the minimum weighted feedback arc set problem. The Algorithm is based on two linear arrangements of the set of arcs, and on the concept of minimal and stable feedback arc set previously introduced and now generalized to the weighted case. The obtained results, compared to two other state of the art Algorithms, show a high level of efficacy of the proposed Algorithm.

An efficient heuristic algorithm to compute minimal and stable weighted feedback arc sets

Cavallaro C.;Cutello V.
2025-01-01

Abstract

We present a O(|A|(|V | + |A|)) heuristic Algorithm for the minimum weighted feedback arc set problem. The Algorithm is based on two linear arrangements of the set of arcs, and on the concept of minimal and stable feedback arc set previously introduced and now generalized to the weighted case. The obtained results, compared to two other state of the art Algorithms, show a high level of efficacy of the proposed Algorithm.
2025
heuristic algorithm
linear orderings of the arcs
minimality
Minimum weighted feedback arc set
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Utilizza questo identificativo per citare o creare un link a questo documento: https://hdl.handle.net/20.500.11769/687969
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