The hypergraph assignment problem
Ralf Borndörfer,Olga Heismann +1 more
TL;DR: It is shown that an algorithmically tractable model providing a strong LP relaxation which implies all clique inequalities can be derived from a suitable extended formulation of polynomial size.
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About: This article is published in Discrete Optimization. The article was published on 01 Feb 2015. and is currently open access. The article focuses on the topics: Assignment problem & 3-dimensional matching.
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References
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Computers and Intractability: A Guide to the Theory of NP-Completeness
Michael Randolph Garey,David S. Johnson +1 more
- 01 Jan 1979
TL;DR: The second edition of a quarterly column as discussed by the authors provides a continuing update to the list of problems (NP-complete and harder) presented by M. R. Garey and myself in our book "Computers and Intractability: A Guide to the Theory of NP-Completeness,” W. H. Freeman & Co., San Francisco, 1979.
The Hungarian method for the assignment problem
TL;DR: This paper has always been one of my favorite children, combining as it does elements of the duality of linear programming and combinatorial tools from graph theory, and it may be of some interest to tell the story of its origin this article.
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Network Flows: Theory, Algorithms, and Applications
Ravindra K. Ahuja,Thomas L. Magnanti,James B. Orlin +2 more
- 01 Jan 1993
TL;DR: In-depth, self-contained treatments of shortest path, maximum flow, and minimum cost flow problems, including descriptions of polynomial-time algorithms for these core models are presented.
Introduction to Algorithms
Xin-She Yang
- 01 Jan 2014
TL;DR: This chapter provides an overview of the fundamentals of algorithms and their links to self-organization, exploration, and exploitation.
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