An extended edge-representative formulation for the K-partitioning problem

Zacharie Ales; Arnaud Knippel

doi:10.1016/j.endm.2016.03.044

An extended edge-representative formulation for the K-partitioning problem

Zacharie Ales
, Arnaud Knippel

LITIS - Laboratoire d'Informatique, de Traitement de l'Information et des Systèmes
INSA Rouen Normandie

Research output: Contribution to journal › Article › peer-review

7 Citations (Scopus)

Abstract

We introduce an edge-representative formulation for the K-partitioning problem and show how it can be extended to improve its linear relaxation.A branch-and-cut algorithm based on a polyhedral study and a thorough cutting-plane strategy at the root node is described. We illustrate our approach with numerical results on some random hard instances.

Original language	English
Pages (from-to)	333-342
Number of pages	10
Journal	Electronic Notes in Discrete Mathematics
Volume	52
DOIs	https://doi.org/10.1016/j.endm.2016.03.044
Publication status	Published - 1 Jun 2016
Externally published	Yes

Keywords

Branch-and-cut
Combinatorial optimization
Graph partitioning
Polyhedral approach

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10.1016/j.endm.2016.03.044

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title = "An extended edge-representative formulation for the K-partitioning problem",

abstract = "We introduce an edge-representative formulation for the K-partitioning problem and show how it can be extended to improve its linear relaxation.A branch-and-cut algorithm based on a polyhedral study and a thorough cutting-plane strategy at the root node is described. We illustrate our approach with numerical results on some random hard instances.",

keywords = "Branch-and-cut, Combinatorial optimization, Graph partitioning, Polyhedral approach",

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T1 - An extended edge-representative formulation for the K-partitioning problem

AU - Ales, Zacharie

AU - Knippel, Arnaud

PY - 2016/6/1

Y1 - 2016/6/1

N2 - We introduce an edge-representative formulation for the K-partitioning problem and show how it can be extended to improve its linear relaxation.A branch-and-cut algorithm based on a polyhedral study and a thorough cutting-plane strategy at the root node is described. We illustrate our approach with numerical results on some random hard instances.

AB - We introduce an edge-representative formulation for the K-partitioning problem and show how it can be extended to improve its linear relaxation.A branch-and-cut algorithm based on a polyhedral study and a thorough cutting-plane strategy at the root node is described. We illustrate our approach with numerical results on some random hard instances.

KW - Branch-and-cut

KW - Combinatorial optimization

KW - Graph partitioning

KW - Polyhedral approach

U2 - 10.1016/j.endm.2016.03.044

DO - 10.1016/j.endm.2016.03.044

M3 - Article

AN - SCOPUS:84969549312

SN - 1571-0653

VL - 52

SP - 333

EP - 342

JO - Electronic Notes in Discrete Mathematics

JF - Electronic Notes in Discrete Mathematics

ER -

An extended edge-representative formulation for the K-partitioning problem

Abstract

Keywords

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