We develop a new method for proving explicit approximation lower bounds for TSP problems with bounded metrics improving on the best up to now known bounds. They almost match the b...
The Traveling Salesman Problem (TSP) is a canonical NP-complete problem which is known to be MAXSNP hard even on Euclidean metrics (of high dimensions) [40]. In order to circumven...
In this paper we introduce a discrete version of the online traveling salesman problem (DOLTSP). We represent the metric space using a weighted graph, where the server is allowed t...
We introduce the weak gap property for directed graphs whose vertex set S is a metric space of size n. We prove that, if the doubling dimension of S is a constant, any directed gra...