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arXiv · 2602.05773

A Structural Equivalence of Symmetric TSP to a Constrained Group Steiner Tree Problem

Yılmaz Arslanoğlu
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Abstract

We present a brief structural equivalence between the symmetric TSP and a constrained Group Steiner Tree Problem (cGSTP) defined on a simplicial incidence graph. Given the complete weighted graph on the city set V, we form the bipartite incidence graph between triangles and edges. Selecting an admissible, disk-like set of triangles induces a unique boundary cycle. With global connectivity and local regularity constraints, maximizing net weight in the cGSTP is exactly equivalent to minimizing the TSP tour length.

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Yılmaz Arslanoğlu. 2026-02-05. A Structural Equivalence of Symmetric TSP to a Constrained Group Steiner Tree Problem. https://arxiv.org/abs/2602.05773

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