Geodesic
Persistency in the Traveling Salesman Problem on Halin graphs
Discussiones Mathematicae. Graph Theory, Tome 20 (2000) no. 2, pp. 231-242

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For the Traveling Salesman Problem (TSP) on Halin graphs with three types of cost functions: sum, bottleneck and balanced and with arbitrary real edge costs we compute in polynomial time the persistency partition E_All, E_Some, E_None of the edge set E, where:
Keywords: persistency, traveling salesman problem, Halin graph, polynomial algorithm 
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     title = {Persistency in the {Traveling} {Salesman} {Problem} on {Halin} graphs},
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Lacko, Vladimír. Persistency in the Traveling Salesman Problem on Halin graphs. Discussiones Mathematicae. Graph Theory, Tome 20 (2000) no. 2, pp. 231-242. http://geodesic.mathdoc.fr/item/DMGT_2000_20_2_a6/