Mittagsseminar (in cooperation with J. Lengler, A. Steger, and D. Steurer)

Date and Time: Tuesday, March 22, 2005, 12:15 pm

Duration: This information is not available in the database

Location: This information is not available in the database

Speaker: Shankar Ram Lakshminarayanan

Metric Traveling Salesman Games

The Traveling Salesman game is given by the tuple (N, c_D) where N is the set of cities (or the vertices of the complete graph) and c_D is a real function defined on all subsets of N where D is the underlying cost matrix, with c_D(S) being the cost of a minimum cost Hamiltonian tour through the vertices S and "0" where 0 ∉ N is called as the home city. The core of this game is defined to be the set of all n-dimensional real vectors x, such that x(N) = c_D(N) and x(S) <= c_D(S) for all subsets S. In this talk, we show that the problem of determining whether the core of a TS game with D satisfying triangle inequality (Metric TS game) is empty or not, is NP-Complete. Further, we define approximate core allocation and show some results pertaining to the Asymmetric TS game.

(Joint work with Markus Bläser)

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