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

Date and Time: Monday, January 16, 2006, 12:15 pm

Duration: This information is not available in the database

Location: This information is not available in the database

Speaker: Kiyohito Nagano (Univ. of Tokyo)

A strongly polynomial algorithm for line search in submodular polyhedra

Submodularity plays an important role in combinatorial optimization. A submodular polyhedron (or an extended polymatroid) is a polyhedron associated with a submodular set function. In this talk, we consider a line search problem in a submodular polyhedron, which is a generalization of submodular function minimization and a fair maximum flow problem. We present a first strongly polynomial time algorithm for this problem with the aid of a fully combinatorial algorithm for submodular function minimization. The algorithm is based on the parametric search method proposed by Megiddo.

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