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Adapting the mSTreg heuristic to non-complete or non-Euclidean graphs

Develop and assess adaptations of the mSTreg heuristic for settings where the underlying graph is not complete or where distances are non-Euclidean, and determine whether the algorithm performs well in these regimes.

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Background

The proposed mSTreg heuristic is demonstrated primarily on complete Euclidean graphs. Many practical applications involve sparse (non-complete) graphs or non-Euclidean distance structures.

The authors explicitly state uncertainty about the algorithm’s performance under such generalizations, identifying this extension as an open question.

References

Another open question is whether the algorithm can be adapted to perform well on non-complete or non-Euclidean graphs.

The Central Spanning Tree Problem (2404.06447 - Sanmartín et al., 9 Apr 2024) in Conclusion