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Interval routing schemes
Authors:M Flammini  G Gambosi  S Salomone
Affiliation:(1) Dipartimento di Informatica e Sistemistica, University of Rome ldquoLa Sapienza,rdquo, via Salaria 113, I-00198 Rome, Italy;(2) Dipartimento di Matematica Pura ed Applicata, University of L'Aquila, via Vetoio loc. Coppito, I-67010 L'Aquila, Italy;(3) Dipartimento di Matematica, University of Rome ldquoTor Vergata,rdquo, via della Ricerca Scientifica, I-00133 Rome, Italy;(4) Dipartimento di Matematica Pura ed Applicata, University of L'Aquila, via Vetoio loc. Coppito, I-67010 L'Aquila, Italy
Abstract:In this paper the problem of routing messages along shortest paths in a distributed network without using complete routing tables is considered. In particular, the complexity of deriving minimum (in terms of number of intervals) interval routing schemes is analyzed under different requirements. For all the cases considered NP-hardness proofs are given, while some approximability results are provided. Moreover, relations among the different cases considered are studied.This work was supported by the EEC ESPRIT II Basic Research Action Program under Contract No. 7141 ldquoAlgorithms and Complexity II,rdquo by the EEC ldquoHuman Capital and Mobilityrdquo MAP project, and by the Italian MURST 40% project ldquoAlgoritmi, Modelli di Calcolo e Strutture Informative.rdquo
Keywords:Distributed systems  Compact routing tables  Interval routing  NP-completeness  Shortest paths representation
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