Incorporating Centrality-based Plane Graph Drawing and Force-directed Method to Visualize Small-World Graphs and its Application to Semiconductor Wafer Fabrication

碩士 === 國立交通大學 === 工業工程與管理系所 === 103 === Analysis of large and complex network graphs has been an important issue. Small-world network is a special type of those complex network graphs. The structure of this type of graphs cannot be effectively recognized by conventional graph drawing algorithms, suc...

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Bibliographic Details
Main Authors: Wu, Sheng-Feng, 吳聲鋒
Other Authors: Lin, Chun-Cheng
Format: Others
Language:zh-TW
Published: 2015
Online Access:http://ndltd.ncl.edu.tw/handle/24v6m5
Description
Summary:碩士 === 國立交通大學 === 工業工程與管理系所 === 103 === Analysis of large and complex network graphs has been an important issue. Small-world network is a special type of those complex network graphs. The structure of this type of graphs cannot be effectively recognized by conventional graph drawing algorithms, such that it is difficult to identify and analyze the network. To solve this problem, this paper proposes a visualization approach, which utilizes centrality to remove some links between nodes, then uses a plane graph drawing method to lay out the reduced subgraph without any edge crossing, then applies a force-directed graph drawing method based on node-edge repulsion to improve the layout, finally adds back the remaining links. On experimental analysis, our results can not only analyze the same information with previous methods, but successfully gain more useful information. It lets us have a better understanding for the relationship between nodes and search out some messages that were never found before. Application of this approach to semiconductor wafer fabrication example is demonstrated.