Degree-constrained edge partitionings in graphs arising from discrete tomography
Bernard Ries; Picouleau, Christophe; de Werra, Dominique; Costa, Marie-Christine; Bentz, Cédric (2009), Degree-constrained edge partitionings in graphs arising from discrete tomography, Journal of Graph Algorithms and Applications, 13, 2, p. 99-118
Type
Article accepté pour publication ou publiéDate
2009Nom de la revue
Journal of Graph Algorithms and ApplicationsVolume
13Numéro
2Pages
99-118
Métadonnées
Afficher la notice complèteAuteur(s)
Bernard RiesPicouleau, Christophe

de Werra, Dominique
Costa, Marie-Christine
Bentz, Cédric
Résumé (EN)
Starting from the basic problem of reconstructing a 2-dimensional image given by its projections on two axes, one associates a model of edge coloring in a complete bipartite graph. The complexity of the case with k = 3 colors is open. Variations and special cases are considered for the case k = 3 colors where the graph corresponding to the union of some color classes (for instance colors 1 and 2) has a given structure (tree, vertex-disjoint chains, 2-factor, etc.). We also study special cases corresponding to the search of 2 edge-disjoint chains or cycles going through specied vertices. A variation where the graph is oriented is also presented. In addition we explore similar problems for the case where the underlying graph is a complete graph (instead of a complete bipartite graph).Mots-clés
tomography; Degree-constrained; vertex disjoint chains; tree; Bipartite graphPublications associées
Affichage des éléments liés par titre et auteur.
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Bentz, Cédric; Costa, Marie-Christine; de Werra, Dominique; Picouleau, Christophe; Ries, Bernard (2007) Communication / Conférence
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Bentz, Cédric; Costa, Marie-Christine; Ries, Bernard; de Werra, Dominique; Picouleau, Christophe; Zenklusen, Rico (2010) Article accepté pour publication ou publié
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Bentz, Cédric; Costa, Marie-Christine; Picouleau, Christophe; Ries, Bernard; de Werra, Dominique (2012) Article accepté pour publication ou publié
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Ries, Bernard; Picouleau, Christophe; de Werra, Dominique; Costa, Marie-Christine; Bentz, Cédric (2011) Chapitre d'ouvrage
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de Werra, Dominique; Costa, Marie-Christine; Picouleau, Christophe; Ries, Bernard (2010) Article accepté pour publication ou publié