Combinatorial optimization by iterative partial transcription
نویسندگان
چکیده
منابع مشابه
Iterative Methods in Combinatorial Optimization
In these lectures, I will describe a simple iterative method that supplies new proofs of integrality of linear characterizations of various basic problems in combinatorial optimization, and also allows adaptations to design approximation algorithms for NP-hard variants of these problems involving extra “degree-like” budget constraints. It is inspired by Jain’s iterative rounding method for desi...
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1 Preliminaries 1.1 Linear Algebra In this section, we review some definitions and concepts related to linear algebra which will be useful in describing the iterative methods later. Definition 1 The row rank of a matrix A is the maximum number of linearly independent rows in A. The column rank of a matrix A is the maximum number of linearly independent columns in A. In other words, row rank of ...
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ژورنال
عنوان ژورنال: Physical Review E
سال: 1999
ISSN: 1063-651X,1095-3787
DOI: 10.1103/physreve.59.4667