Distributed Line Graphs: A Universal Framework for Building DHTs Based on Arbitrary Constant-Degree Graphs

Yiming Zhang, Ling Liu, Dongsheng Li, Xicheng Lu
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引用次数: 17

Abstract

Most proposed DHTs have their unique maintenance mechanisms specific to the static graphs on which they are based. In this paper we propose distributed line graphs (DLG), a universal framework for building DHTs based on arbitrary constant-degree graphs. We prove that in a DLG-enabled, N-node DHT, the out-degree is d, the in-degree is between 1 and 2d, and the diameter is less than 2(logdN-logdN0+D0+1), where d, D0 and N0 represent the degree, diameter and number of nodes of the initial graph, respectively. The maintenance cost of DLG-enabled DHTs is O(logdN). We show the power of DLG technique by applying it to Kautz graphs to propose a new DHT scheme.
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分布式线形图:基于任意等度图构建dht的通用框架
大多数建议的dht都有其独特的维护机制,特定于它们所基于的静态图。本文提出了一种基于任意等度图构建dht的通用框架——分布式线形图(distributed line graphs, DLG)。我们证明了在支持dlg的n节点DHT中,输出度为d,输入度在1 ~ 2d之间,直径小于2(logdN-logdN0+D0+1),其中d、D0和N0分别表示初始图的度、直径和节点数。支持dlg的dht的维护成本为0 (logdN)。我们通过将DLG技术应用于Kautz图来展示其强大的功能,并提出了一种新的DHT方案。
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