Polynomial Time Algorithms for Minimum-Time Broadcast in Tree - CNRS - Centre national de la recherche scientifique Accéder directement au contenu
Article Dans Une Revue Theory of Computing Systems Année : 2002

Polynomial Time Algorithms for Minimum-Time Broadcast in Tree

Résumé

This paper addresses the minimum-time broadcast problem under several modes of the line model, i.e., when long-distance calls can be placed along paths in the network. It is well known that the minimum-time broadcast problem can be solved in polynomial time under the single-port edge-disjoint paths mode. However, it is equally well known that either relaxing the model to the all-port edge-disjoint paths mode, or constraining the model to the single-port vertex-disjoint paths mode, leads to NP-complete problems; and exact solutions have been derived for specific topologies only (e.g., hypercubes or tori). In this paper we present polynomial-time algorithms for minimum-time broadcast in trees. These algorithms are obtained by application of an original technique called the merging method , which can be applied in a larger context, for instance, to solve the multicast problem or to address the restricted regimen. The merging method requires solving the minimal contention-free matrix problem whose solution presents some interest on its own.

Dates et versions

hal-00102819 , version 1 (02-10-2006)

Identifiants

Citer

Johanne Cohen, Pierre Fraigniaud, Margarita Mitjana. Polynomial Time Algorithms for Minimum-Time Broadcast in Tree. Theory of Computing Systems, 2002, 35, pp.641--665. ⟨10.1007/s00224-002-1047-5⟩. ⟨hal-00102819⟩
89 Consultations
0 Téléchargements

Altmetric

Partager

Gmail Facebook X LinkedIn More