# Branch and Cut based on the volume algorithm: Steiner trees in graphs and Max-cut

Francisco Barahona; László Ladányi

RAIRO - Operations Research (2006)

- Volume: 40, Issue: 1, page 53-73
- ISSN: 0399-0559

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topBarahona, Francisco, and Ladányi, László. "Branch and Cut based on the volume algorithm: Steiner trees in graphs and Max-cut." RAIRO - Operations Research 40.1 (2006): 53-73. <http://eudml.org/doc/249757>.

@article{Barahona2006,

abstract = {
We present a Branch-and-Cut algorithm where the volume algorithm is applied
instead of the traditionally used dual simplex algorithm to the linear
programming relaxations in the root node of the search tree. This means that
we use fast approximate solutions to these linear programs instead of exact
but slower solutions. We present computational results with the Steiner tree
and Max-Cut problems. We show evidence that one can solve these problems
much faster with the volume algorithm based Branch-and-Cut code than with a
dual simplex based one. We discuss when the volume based approach might be
more efficient than the simplex based approach.
},

author = {Barahona, Francisco, Ladányi, László},

journal = {RAIRO - Operations Research},

keywords = {Volume algorithm; Steiner tree; Max-Cut},

language = {eng},

month = {7},

number = {1},

pages = {53-73},

publisher = {EDP Sciences},

title = {Branch and Cut based on the volume algorithm: Steiner trees in graphs and Max-cut},

url = {http://eudml.org/doc/249757},

volume = {40},

year = {2006},

}

TY - JOUR

AU - Barahona, Francisco

AU - Ladányi, László

TI - Branch and Cut based on the volume algorithm: Steiner trees in graphs and Max-cut

JO - RAIRO - Operations Research

DA - 2006/7//

PB - EDP Sciences

VL - 40

IS - 1

SP - 53

EP - 73

AB -
We present a Branch-and-Cut algorithm where the volume algorithm is applied
instead of the traditionally used dual simplex algorithm to the linear
programming relaxations in the root node of the search tree. This means that
we use fast approximate solutions to these linear programs instead of exact
but slower solutions. We present computational results with the Steiner tree
and Max-Cut problems. We show evidence that one can solve these problems
much faster with the volume algorithm based Branch-and-Cut code than with a
dual simplex based one. We discuss when the volume based approach might be
more efficient than the simplex based approach.

LA - eng

KW - Volume algorithm; Steiner tree; Max-Cut

UR - http://eudml.org/doc/249757

ER -

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