2015年美国数学建模大赛论文【荐】.pdfVIP

Team Control Number For office use only For office use only T1 ________________ 31729 F1 ________________ T2 ________________ F2 ________________ T3 ________________ F3 ________________ Problem Chosen T4 ________________ F4 ________________ C Using Networks to Measure Influence and Impact With the development of science and technology, the relationship between things become more and more complex. How to find out the most influential vertex in the network become more and more important. According to the cooperation data given in the topic, we filter the 511 authors who directly cooperated with Erdos, and build the connection based on cooperation. Eventually, we get a 511511 relationship matrix. The graph of the undirected co-author network is figured by software Pajek. Then, we introduce the k-core and degree indicators, propose the co-degree and coll indicators and establish the comprehensive evaluation model. We get the influence ranking of co-authors by computing comprehensive index, the top 4 are SOS VERA TURAN ，PACH JANOS ，GRAHAM RONALD LEWIS ，CHUNG FAN RONG KING (GRAHAM). In the citation relationship, we classify the papers which are retrieved from web of science into three levels based on their Impact Factor. We establish the citation network according to the citing and citied relationship. We introduce the SCI indicator based on the PageRank algorith