2(1 - 1/ℓ)-Factor Steiner Tree Approximation in Õ(n^1/3) Rounds in the CONGESTED CLIQUE

We study the Steiner tree problem in the CONGESTED CLIQUE model of distributed computing. We present a deterministic distributed approximation algorithm that computes a Steiner tree in Õ(n^1/3) rounds and Õ(n^7/3) messages for a given undirected weighted graph of n nodes with the approximation facto...

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Bibliographic Details
Published in:International Symposium on Computing and Networking (Online) pp. 82 - 91
Main Authors: Saikia, Parikshit, Karmakar, Sushanta
Format: Conference Proceeding
Language:English
Published: IEEE 01.11.2019
Subjects:
Approximation algorithms
Computational modeling
CONGESTED CLIQUE
distributed approximation algorithm
Distributed computing
Forestry
Knowledge engineering
shortest path forest
Steiner tree
Steiner trees
ISSN:2379-1896
Online Access:Get full text
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Summary:We study the Steiner tree problem in the CONGESTED CLIQUE model of distributed computing. We present a deterministic distributed approximation algorithm that computes a Steiner tree in Õ(n^1/3) rounds and Õ(n^7/3) messages for a given undirected weighted graph of n nodes with the approximation factor 2(1 - 1/ℓ) of the optimal, where ℓ is the number of terminal leaf nodes in the optimal Steiner tree. Note here that the Õ(⋅) notation hides polylogarithmic factors in n. To the best of our knowledge, this is the first work to study the Steiner tree problem in the CONGESTED CLIQUE model.
ISSN:2379-1896
DOI:10.1109/CANDAR.2019.00018