Small World Phenomenon

• Main Authors: Jing-Mao Ho, 何經懋
• Other Authors: 呂育道
• Format: Others
• Language: en_US
• Published: 2008
• Online Access: http://ndltd.ncl.edu.tw/handle/98348894721549760096

碩士 === 國立臺灣大學 === 資訊工程學研究所 === 96 === The small world phenomenon, the principle that most of people are linked by short chains of acquaintances, is first studied as a problem in social science. It is also a feature of a range of networks arising in nature and technology. Early experiments showed that it has two properties: first, short chains are widespread, and second, individuals with local information are able to find the chains. Kleinberg proposed a family of network models and a greedy algorithm, showing that there is a unique model within the family for which the greedy algorithm’s running time is O(log2 N). We study Kleinberg’s theorems and give some models based on Kleinberg’s family:torus, grids of high dimension, and cube.