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The Spanning Tree based Approach for Solving the Shortest Path Problem in Social Graphs

机译:基于生成树的社会图最短路径问题求解方法

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摘要

Nowadays there are many social media sites with a very large number of users. Users of social media sitesand relationships between them can be modelled as a graph. Such graphs can be analysed using methodsfrom social network analysis (SNA). Many measures used in SNA rely on computation of shortest pathsbetween nodes of a graph. There are many shortest path algorithms, but the majority of them suits only forsmall graphs, or work only with road network graphs that are fundamentally different from social graphs.This paper describes an efficient shortest path searching algorithm suitable for large social graphs. Thedescribed algorithm extends the Atlas algorithm. The proposed algorithm solves the shortest path problemin social graphs modelling sites with over 100 million users with acceptable response time (50 ms perquery), memory usage (less than 15 GB of the primary memory) and applicable accuracy (higher than 90%of the queries return exact result).
机译:如今,许多社交媒体网站拥有大量用户。社交媒体网站的用户及其之间的关系可以建模为图表。可以使用来自社交网络分析(SNA)的方法来分析此类图。 SNA中使用的许多度量都依赖于图形节点之间的最短路径的计算。最短路径算法有很多,但大多数仅适用于小型图或仅适用于与社交图根本不同的道路网络图。本文介绍了一种适用于大型社交图的有效最短路径搜索算法。所描述的算法扩展了Atlas算法。所提出的算法解决了社交图建模站点中最短路径的问题,该站点拥有超过1亿用户,具有可接受的响应时间(每个查询50毫秒),内存使用情况(小于主内存的15 GB)和适用的准确性(高于查询的90%)返回确切结果)。

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