PPT-Random graphs & epidemic algorithms

Laurent Massouli é amp Fabien Mathieu laurentmassoulieinriafr amp fabienmathieuinriafr The Code Red Internet Worm Epid e mics amp rumours Propagate fast. Each edge is chosen independently with probability propor tional to the product of the expected degrees of its endpoints We examine the distribution of the sizesvolumes of the connected components which turns out depending primarily on the average d Anthony Bonato. Ryerson University. CanaDAM. 2011. Cop number of a graph. the . cop number of a graph. , written . c(G). , is an elusive graph parameter. few connections to other graph parameters. hard to compute. L. á. szl. ó. . Lov. á. sz. . Eötvös. . Lor. ánd. . University, Budapest . May 2013. 1. Happy Birthday Ravi!. May 2013. 2. Cut norm . of . matrix A. . . n. x. n. :. The Weak Regularity Lemma. Network Science: Random Graphs . 2012. Prof. Albert-László Barabási. Dr. Baruch Barzel, Dr. Mauro Martino. RANDOM NETWORK MODEL. Network Science: Random Graphs . 2012. Erdös-Rényi model (1960). Angelika Steger. (j. oint. . work. . with. . Konstantinos . Panagiotou. , SODA‘11. ) . . TexPoint fonts used in EMF. . Read the TexPoint manual before you delete this box.: . A. A. A. A. A. Random Graphs . Genetic algorithms imitate a natural optimization process: natural selection in evolution.. D. eveloped by John Holland at the University of Michigan for machine learning in 1975.. Similar algorithms developed in Europe in the 1970s under the name evolutionary strategies. Anthony Bonato. Ryerson University. East Coast Combinatorics Conference. co-author. talk. post-doc. Into the infinite. R. Infinite random geometric graphs. 111. 110. 101. 011. 100. 010. 001. 000. Some properties. Raman Veerappan. EPS 109 Final Project. Introduction. Goals. To examine various maze solving algorithms using MATLAB determine which algorithms are most effective for which mazes. Two main algorithms examined. infinite random geometric . g. raphs. Anthony Bonato. Ryerson University. Random Geometric Graphs . and . Their Applications to Complex . Networks. BIRS. R. Infinite random geometric graphs. 111. 110. L. á. szl. ó. . Lov. á. sz. . Eötvös. . Lor. ánd. . University, Budapest . May 2013. 1. Happy Birthday Ravi!. May 2013. 2. Cut norm . of . matrix A. . . n. x. n. :. The Weak Regularity Lemma. Richard Peng. Georgia Tech. In collaboration with. Michael B. Cohen. Jon . Kelner. John Peebles. Aaron . Sidford. Adrian . Vladu. Anup. . B. Rao. Rasmus. . Kyng. Outline. Graphs and . Lx. = . b. G . 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. Christos . Faloutsos. http://www.cs.cmu.edu/~christos. Carnegie Mellon University. Networks are everywhere!. Human Disease Network [. Barabasi. Anthony Bonato. Ryerson University. CRM-ISM Colloquium. Université. Laval. Complex networks in the era of . Big Data. web graph, social networks, biological networks, internet networks. , …. Infinite random geometric graphs - Anthony Bonato.