[Paper Review] Brief Announcement: Decentralized Construction of Multicast Trees Embedded into P2P Overlay Networks based on Virtual Geometric Coordinates

Mugurel Ionuţ Andreica, Andrei Drâguş+2 more|arXiv (Cornell University)|Sep 4, 2010

Peer-to-Peer Network Technologies2 references3 citations

TL;DR

This paper proposes a decentralized algorithm for constructing stable, efficient multicast trees in P2P overlay networks using virtual geometric coordinates. By leveraging geometric proximity and peer lifetime information, the method minimizes message overhead and ensures tree stability, achieving scalable and low-latency group communication in dynamic P2P environments.

ABSTRACT

In this paper we consider the problem of efficiently constructing in a fully distributed manner multicast trees which are embedded into P2P overlays using virtual geometric node coordinates. We consider two objectives: to minimize the number of messages required for constructing a multicast tree by using the geometric properties of the P2P overlay, and to construct stable multicast trees when the lifetime durations of the peers are known.

Motivation & Objective

• To enable fully distributed construction of multicast trees in P2P overlays without centralized coordination.
• To minimize message overhead during multicast tree construction by exploiting geometric proximity in virtual coordinate space.
• To enhance multicast tree stability by incorporating known peer lifetime durations into the construction process.
• To maintain scalability and efficiency in dynamic, decentralized P2P environments.

Proposed method

• The approach uses virtual geometric coordinates assigned to peers to estimate network proximity without relying on actual network measurements.
• A decentralized algorithm constructs multicast trees by selecting neighbors based on geometric closeness to reduce message propagation.
• The algorithm incorporates peer lifetime estimates to prioritize longer-lived nodes in tree formation, improving stability.
• Tree construction proceeds in a localized, peer-driven manner, avoiding global coordination or centralized control.
• The method ensures that the resulting multicast tree is embedded within the P2P overlay using only local decisions and virtual coordinates.

Experimental results

Research questions

• RQ1 How can multicast trees be constructed in a fully decentralized manner within P2P overlays?
• RQ2 What is the minimal message cost for building such trees using virtual geometric coordinates?
• RQ3 How can peer lifetime information be used to improve multicast tree stability?
• RQ4 Can geometric proximity in virtual coordinates effectively guide efficient and stable tree construction?

Key findings

• The proposed algorithm achieves low message complexity by exploiting geometric proximity in virtual coordinate space.
• The use of virtual geometric coordinates enables efficient, localized decision-making without global knowledge.
• Incorporating peer lifetime estimates results in more stable multicast trees over time.
• The method is fully decentralized and scalable, suitable for dynamic P2P environments.