Skip to Main content Skip to Navigation
Conference papers

Approximation of the Degree-Constrained Minimum Spanning Hierarchies

Miklós Molnár 1 Sylvain Durand 1, 2 Massinissa Merabet 1
1 MAORE - Méthodes Algorithmes pour l'Ordonnancement et les Réseaux
LIRMM - Laboratoire d'Informatique de Robotique et de Microélectronique de Montpellier
Abstract : Degree-constrained spanning problems are well known and are mainly used to solve capacity constrained routing problems. The degree-constrained spanning tree problems are NP-hard and computing the minimum cost spanning tree is not approximable. Often, applications (such as some degree-constrained communications) do not need trees as solutions. Recently, a more flexible, connected, graph related structure called hierarchy was proposed to span a set of vertices under constraints. This structure permits a new formulation of some degree-constrained spanning problems. In this paper we show that although the newly for- mulated problem is still NP-hard, it is approximable with a constant ratio. In the worst case, this ratio is bounded by 3/2. We provide a sim- ple heuristic and prove its approximation ratio is the best possible for any algorithm based on a minimum spanning tree.
Document type :
Conference papers
Complete list of metadata
Contributor : Sylvain Durand <>
Submitted on : Friday, April 16, 2021 - 2:25:46 PM
Last modification on : Thursday, June 10, 2021 - 5:06:45 PM


s_molnar_19_01056259_app (1).p...
Files produced by the author(s)



Miklós Molnár, Sylvain Durand, Massinissa Merabet. Approximation of the Degree-Constrained Minimum Spanning Hierarchies. 21th International Colloquium on Structural Information and Communication Complexity (SIROCCO 2014), Jul 2014, Takayama, Japan. pp.96-107, ⟨10.1007/978-3-319-09620-9_9⟩. ⟨lirmm-01056259⟩



Record views


Files downloads