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复杂网络中近似最短路径问题

         

摘要

With the increasing of data in complex networks, the efficiency of classic algorithms such as Dijkstra algorithm is very low. To solve this problem, the researchers put forward a number of approximate search algorithms, but how to reduce the computational complexity and also keep the accuracy has been a big difficulty. According to the structural characteristics of complex networks, this article introduces regional division, improves the structure of the tree decomposition, and constructs graph into a tree to search the target vertex, getting a new the shortest path approximate algorithm for complex networks. In addition, the proposed algorithm not only reduces the computational complexity but also remains the high accuracy of approximation by examples.%随着网络规模的不断增大,经典算法(如Dijkstra等)效率越来越低。针对这一问题,研究者们提出了许多近似搜索算法,但如何既能提高搜索效率又能保持准确性一直是一大难点。本文根据复杂网络的结构特性引入区域划分,同时改进树分解的构造,将图构造成一棵树进行搜索,得到了一个新的适合于复杂网络的最短路径近似算法。此外通过实例验证,该算法不仅在一定程度上降低了计算复杂性,而且保持了较高的近似准确性。

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