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Journal Articles Journal of Graph Algorithms and Applications Year : 2009

Degree-constrained edge partitioning in graphs arising from discrete tomography

Cédric Bentz
Marie-Christine Costa
Christophe Picouleau
Bernard Ries
  • Function : Author

Abstract

Starting from the basic problem of reconstructing a 2-dimensional im- age 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 specified vertices. A variation where the graph is oriented is also presented. In addition we explore similar problems for the case where the under- lying graph is a complete graph (instead of a complete bipartite graph).

Dates and versions

hal-00975345 , version 1 (08-04-2014)

Identifiers

Cite

Cédric Bentz, Marie-Christine Costa, Christophe Picouleau, Bernard Ries, Dominique de Werra. Degree-constrained edge partitioning in graphs arising from discrete tomography. Journal of Graph Algorithms and Applications, 2009, 13 (2), pp.99-118. ⟨10.7155/jgaa.00178⟩. ⟨hal-00975345⟩

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