Geodesic
Complexity Indices for the Traveling Salesman Problem Continued
Yugoslav journal of operations research, Tome 31 (2021) no. 4, p. 471 .

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We consider the symmetric traveling salesman problem (TSP) with instances represented by complete graphs $G$ with distances between cities as edge weights. A complexity index is an invariant of an instance $I$ by which we predict the execution time of an exact TSP algorithm for $I$. In the paper [5] we have considered some short edge sub-graphs of G and defined several new invariants related to their connected components. Extensive computational experiments with instances on 50 vertices with the uniform distribution of integer edge weights in the interval [1,100] show that there exists correlation between the sequences of selected invariants and the sequence of execution times of the well-known TSP Solver Concorde. In this paper we extend these considerations for instances up to 100 vertices.
Classification : 90C27, 05C80, 62H20
Keywords: Traveling salesman problem, Complexity index, Concorde TSP Solver, Random instances, Correlation. 
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Dragoš Cvetković; Zorica Dražić; Vera Kovačević-Vujčić. Complexity Indices for the Traveling Salesman Problem Continued. Yugoslav journal of operations research, Tome 31 (2021) no. 4, p. 471 . http://geodesic.mathdoc.fr/item/YJOR_2021_31_4_a2/