On the Path-Width of Integer Linear Programming

We consider the feasibility problem of integer linear programming (ILP). We show that solutions of any ILP instance can be naturally represented by an FO-definable class of graphs. For each solution there may be many graphs representing it. However, one of these graphs is of path-width at most 2n, w...

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Bibliographic Details
Main Authors: Constantin Enea, Peter Habermehl, Omar Inverso, Gennaro Parlato
Format: Article
Language:English
Published: Open Publishing Association 2014-08-01
Series:Electronic Proceedings in Theoretical Computer Science
Online Access:http://arxiv.org/pdf/1408.5958v1