# Mittagsseminar (in cooperation with M. Ghaffari, A. Steger, D. Steurer and B. Sudakov)

__Mittagsseminar Talk Information__ | |

**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)

Upcoming talks | All previous talks | Talks by speaker | Upcoming talks in iCal format (beta version!)

Previous talks by year: 2019 2018 2017 2016 2015 2014 2013 2012 2011 2010 2009 2008 2007 2006 2005 2004 2003 2002 2001 2000 1999 1998 1997 1996

Information for students and suggested topics for student talks

Automatic MiSe System Software Version 1.4803M | admin login