PPT-Random cop-win graphs Anthony Bonato

1 Almost all copwin graphs contain a universal vertex Anthony Bonato Ryerson University RSA 2011 Cops and Robbers Random copwin graphs Anthony Bonato 2 C C C R Cops and Robbers Random copwin graphs Anthony Bonato. 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. 1. Distinguishing Infinite Graphs. Anthony Bonato. Ryerson University. . Discrete Mathematics Days 2009. May 23, . 2009. Distinguishing Infinite Graphs Anthony Bonato. 2. Dedicated to the memory of . 1. What is left to do on Cops and Robbers?. Anthony Bonato. Ryerson University. GRASCan. 2012 . Where to next?. we focus on . 6. research directions on the topic of Cops and Robbers games. by no means exhaustive. 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). Laurent . Massouli. é & . Fabien Mathieu. laurent.massoulie@inria.fr. & . fabien.mathieu@inria.fr. . The . “Code Red. ” Internet Worm. Epid. e. mics. . & rumours. Propagate fast. 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 . of . hypergraphs. Anthony Bonato. Ryerson University. 2014 CMS Summer Meeting. Independence densities - Anthony Bonato. Paths. Independence densities - Anthony Bonato. 2. …. number of independent . 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. 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. 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. Anthony Bonato. Ryerson University. University of Rhode Island. Department of Mathematics. Emotions are contagious. Graph burning - Anthony Bonato. 2. (Kramer,Guillory,Hancock,14):. study of . emotional . Ryerson University. GRASCan 2015. GRASCan 2012, Ryerson University. 2. Emotions are contagious. Graph burning - Anthony Bonato. 3. (. Kramer,Guillory,Hancock,14):. study of . emotional . or. social contagion . 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.