Geodesic
Closed k-stop distance in graphs
Discussiones Mathematicae. Graph Theory, Tome 31 (2011) no. 3, pp. 533-545

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The Traveling Salesman Problem (TSP) is still one of the most researched topics in computational mathematics, and we introduce a variant of it, namely the study of the closed k-walks in graphs. We search for a shortest closed route visiting k cities in a non complete graph without weights. This motivates the following definition. Given a set of k distinct vertices = x₁, x₂, ...,xₖ in a simple graph G, the closed k-stop-distance of set is defined to be
Keywords: Traveling Salesman, Steiner distance, distance, closed k-stop distance 
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Bullington, Grady; Eroh, Linda; Gera, Ralucca; Winters, Steven. Closed k-stop distance in graphs. Discussiones Mathematicae. Graph Theory, Tome 31 (2011) no. 3, pp. 533-545. http://geodesic.mathdoc.fr/item/DMGT_2011_31_3_a8/