Proceedings. Fourth International Conference on Peer-to-Peer Computing, 2004. Proceedings.
DOI: 10.1109/ptp.2004.1334940
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A placement scheme for peer-to-peer networks based on principles from geometry

Abstract: Crucial for the performance of peer-to-peer networks based on geometric topologies is the measurement complexity and quality of the mapping function used to map a node in the network to a point in the geometric target space. In this paper we study how results from mathematics as well as data mining can be applied to this mapping problem. Using a metric space model for networks and results from mathematics a relation between the number of nodes to be mapped, the worst case error of the mapping and the dimension… Show more

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Cited by 9 publications
(13 citation statements)
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“…A coordinate system must provide an accurate embedding of the internet hosts in a low-dimensional space with a distance metric, with additional requirements for scalability and dynamic adaptation. Coordinates can be evaluated by measuring distances from some special hosts called landmarks, [NZ02,KZ04] 04]. Vivaldi treats the internet as a self-adjusting system of springs, where distances are dynamically updated in a totally distributed fashion, thus avoiding the use of static landmarks that pose scalability and fault-tolerance problems.…”
Section: Overview Of Performance Measurements Techniquesmentioning
confidence: 99%
“…A coordinate system must provide an accurate embedding of the internet hosts in a low-dimensional space with a distance metric, with additional requirements for scalability and dynamic adaptation. Coordinates can be evaluated by measuring distances from some special hosts called landmarks, [NZ02,KZ04] 04]. Vivaldi treats the internet as a self-adjusting system of springs, where distances are dynamically updated in a totally distributed fashion, thus avoiding the use of static landmarks that pose scalability and fault-tolerance problems.…”
Section: Overview Of Performance Measurements Techniquesmentioning
confidence: 99%
“…One of the first suggested solutions for network distance estimation with low measurement overhead was IDMaps [ [XSLB05]. In this thesis we will introduce Geometric Cluster Placement (GCP) [KZ04] and Netforecast [EKP07]. Based on the underlying principles used by the schemes mentioned we can do a classification into three main classes, which are:…”
Section: Qos Estimationmentioning
confidence: 99%
“…Before we start with a description of Geometric Cluster Placement [KZ04], we first recall the principle of landmark based distance estimation. For a state of the art with regard to landmark based distance estimation or more general network distance estimation, we refer to section 3.2.…”
Section: Delay Estimation With Geometric Cluster Placementmentioning
confidence: 99%
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“…While this type of graphs has already been studied in the area of MANETs [15], to the best of our knowledge there is no study in the area of P2P-Networks. To use Yao-Graphs, a mapping function is necessary to accurately embed nodes from the underlying network into a geometric space [8]. In this paper we are using the Highways [11] proximity clustering scheme, introduced by one of the authors, to assign accurate geometric co-ordinates to nodes.…”
Section: Introductionmentioning
confidence: 99%