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

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