D2-Tree: A New Overlay with Deterministic Bounds

Gerth Stølting Brodal, Spyros Sioutas, Kostas Tsichlas, and Christos D. Zaroliagis

In Algorithmica, volume 72(3), pages 860-883, 2015.

Abstract

We present a new overlay, called the Deterministic Decentralized tree (D2-tree). The D2-tree compares favorably to other overlays for the following reasons: (a) it provides matching and better complexities, which are deterministic for the supported operations; (b) the management of nodes (peers) and elements are completely decoupled from each other; and (c) an efficient deterministic load-balancing mechanism is presented for the uniform distribution of elements into nodes, while at the same time probabilistic optimal bounds are provided for the congestion of operations at the nodes. The load-balancing scheme of elements into nodes is deterministic and general enough to be applied to other hierarchical tree-based overlays. This load-balancing mechanism is based on an innovative lazy weight-balancing mechanism, which is interesting in its own right.

Copyright notice

© Springer-Verlag Berlin Heidelberg 2015. All rights reserved.

Online version

algorithmica15.pdf (294 Kb)

DOI

10.1007/s00453-014-9878-4

BIBTEX entry

@article{algorithmica15,
  author = "Gerth St{\o}lting Brodal and Spyros Sioutas and Kostas Tsichlas and Christos D. Zaroliagis",
  doi = "10.1007/s00453-014-9878-4",
  issn = "0178-4617",
  journal = "Algorithmica",
  number = "3",
  pages = "860-883",
  title = "$D^2$-Tree: A New Overlay with Deterministic Bounds",
  volume = "72",
  year = "2015"
}

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