The Bottleneck traveling salesman problem (bottleneck TSP) is a problem in discrete or combinatorial optimization. The problem is to find the Hamiltonian cycle (visiting each node exactly once) in a weighted graph which minimizes the weight of the highest-weight edge of the cycle.[1] It was first formulated by Gilmore & Gomory (1964) with some additional constraints, and in its full generality by Garfinkel & Gilbert (1978).[1][2][3]
^ abKabadi, Santosh N.; Punnen, Abraham P. (2007), "The bottleneck TSP", in Gutin, Gregory; Punnen, Abraham P. (eds.), The Traveling Salesman Problem and Its Variations, Combinatorial Optimization, Springer, pp. 697–735, doi:10.1007/0-306-48213-4_15.
^Gilmore, P. C.; Gomory, R. E. (1964), "Sequencing a one state-variable machine: A solvable case of the traveling salesman problem", Oper. Res., 12 (5): 655–679, doi:10.1287/opre.12.5.655, JSTOR 167772.
^Garfinkel, R. S.; Gilbert, K. C. (1978), "The bottleneck traveling salesman problem: Algorithms and probabilistic analysis", Journal of the ACM, 25 (3): 435–448, doi:10.1145/322077.322086, S2CID 12062434.
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