Rechercher

[CDP10] On the use of graphs in discrete tomography

Revue Internationale avec comité de lecture : Journal Annals of Operations Research, vol. 175(1), pp. 287-307, 2010, (doi:10.1007/s10479-009-0649-6)
motcle:
Résumé: This tutorial paper is a new version of a paper published in 4'OR in 2008. We consider the basic image reconstruction problem which stems from discrete tomography. We derive a graph theoretical model and we explore some variations and extensions of this model. This allows us to establish connections with scheduling and timetabling applications. The complexity status of these problems is studied and we exhibit some polynomially solvable cases. We show how various classical techniques of operations research like matching, 2-SAT, network flows are applied to derive some of these results.

Commentaires: Version révisée d'un article publié dans 4'OR, A Quarterly J. of Operations Research, vol. 6(2), pp. 101-123, 2008

Equipe: oc
Collaboration: LAMSADE

BibTeX

@article {
CDP10,
title="{On the use of graphs in discrete tomography}",
author="M.-C. Costa and D. de Werra and C. Picouleau and B. Ries",
journal="Annals of Operations Research",
year=2010,
volume=175,
number=1,
pages="287-307",
note="{Version révisée d'un article publié dans 4'OR, A Quarterly J. of Operations Research, vol. 6(2), pp. 101-123, 2008}",
doi="10.1007/s10479-009-0649-6",
}