PPT-Plum Pudding Models for Growing Small-World Networks

Ari Zitin University of North Carolina Alex Gorowara Worcester Polytechnic Institute S Squires M Herrera T Antonsen M Girvan E Ott University of Maryland Image Credit to transductionsnet. Power law . graphs. Small world graphs. Preferential attachment. Barabási. and Albert showed that when large networks are formed. by the rules of . preferential attachment . , the resulting graph shows. Quotation. He. . who. . has. . not. Christmas in . his. . heart. . will. . never. . find. . it. under a . tree. .. I . will. . honor. Christmas in . my. . heart. , and . try. . to. . keep. First half based on slides by . Kentaro Toyama,. Microsoft Research, India. And their applications to Web. Networks—Physical & Cyber. Typhoid Mary. (Mary Mallon). Patient Zero. (Gaetan Dugas). Applications of Network Theory. TJTSD66: Advanced Topics in Social Media. (Social . Media . Mining). Dr. WANG, Shuaiqiang @ CS & IS, JYU. Email: . shuaiqiang.wang@jyu.fi. Homepage: . http://users.jyu.fi/~swang/. Why should I use network models?. Quotation. He. . who. . has. . not. Christmas in . his. . heart. . will. . never. . find. . it. under a . tree. .. I . will. . honor. Christmas in . my. . heart. , and . try. . to. . keep. What Students Should Consider When their College List is a Fruit . Basket!. The Associated Colleges of the South. A GRAPEFRUIT OR A PLUM?. the Associated Colleges of the South. A GRAPEFRUIT OR A PLUM?. Erdős-Rényi. Random model, . Watts-. Strogatz. Small-world, . Barabási. -Albert Preferential attachment, . Molloy-Reed . Configuration model . and . Gilbert . Random . G. eometric model. Excellence Through Knowledge. Author: M.E.J. Newman. Presenter: Guoliang Liu. Date:5/4/2012. Outline. Networks in the real world. Properties of networks. Random graphs. Exponential random graphs and Markov graphs. The small-world model. B. . Aditya. . Prakash. http://www.cs.cmu.edu/~badityap. Carnegie Mellon University. MMS, SIAM AN, Minneapolis, July 10, 2012. Thanks !. Jeremy . Kepner. David . Bader. John . Gilbert. 2. Networks are everywhere!. Ari Zitin (University of North Carolina), Alex . Gorowara. (Worcester Polytechnic Institute). S. Squires, M. Herrera, T. . Antonsen. , M. Girvan, E. . Ott. (University of Maryland). Image Credit to transductions.net. Navigation and Propagation in Networks Michael Goodrich Some slides adapted from slides by Jean Vaucher , Panayiotis Tsaparas , Jure Leskovec , and Christos Faloutsos NE MA Review: Milgram’s experiment ). Prof. . Ralucca Gera, . Applied Mathematics Dept.. Naval Postgraduate School. Monterey, California. rgera@nps.edu. Excellence Through Knowledge. Learning Outcomes. I. dentify . network models and explain their structures. December 2, 2015. Let There Be Peace. The recent gun violence in California is yet one more painful reminder of our need for a Savior and Lord of Love and Light. There is deep darkness in our world. Darkness of heart and darkness of spirit.  A world that despairs so deeply that violence is seen as the only answer.  Come, Lord, Jesus, and save us from ourselves. The refrain of the popular song comes to mind – ‘let there be peace on earth, and let it begin with me.” We have been blessed as peace makers. Peace is one central aspect of the fruit of God’s Holy Spirit. The shock and horror we may feel at such violent acts too often results in responses and reactions of violence: a desire for retribution or a return to eye-for-an-eye punishment. This will never take us where God calls us to be. Violence is not the solution to violence, and revenge is never the answer. I call upon each and every Wisconsin United Methodist to pray for peace. I implore that we pray for victim and victimizer, for those who suffer, as well as those who cause suffering. We are the people that say enough! We are the people who lay down the sword, and let the fruit of God’s holy peace blossom and flourish. Let there be peace on earth, and let it begin now, here, with us.. Social Networks. What is a social network?. A graph metaphor for studying the relationships/interactions among a group of people. People. : vertices/nodes. Relationship. : edges . System. : network, graph .