PPT-Which graphs are extremal?

L á szl ó Lov á sz Eötvös Loránd University Budapest September 2012 1 September 2012 Tur á ns Theorem special case proved by Mantel G contains no triangles edges. If 8712 A then the events are disjoint So 8712A Pr On the other hand if 8712 A then Pr 8722 and 1 follows Some extremal problems brPage 4br The set of all sets of size is a Sperner family and so the bound in the above theorem is best possible So Color . Camera models, camera calibration. Advanced image pre-processing . Line . detection. Corner detection. Maximally stable extremal regions. Mathematical Morphology. . binary. gray-scale. skeletonization. Graph Theory. Ajit. A. . Diwan. Department of Computer Science and Engineering, I. I. T. Bombay.. Email: aad@cse.iitb.ac.in. Basic Question. Let . H. be a fixed graph.. What is the maximum number of edges in a graph . Carla . Binucci. , Emilio Di Giacomo, . Walter Didimo, Fabrizio Montecchiani, Maurizio . Patrignani. , . Ioannis. G. . Tollis. Fan-planar drawings. Fan-planar drawings. Given a graph G, a . fan-planar drawing . Extremal graph theory. L. á. szl. ó. . Lov. á. sz. . Eötvös. . Lor. ánd. . University, Budapest . May 2012. 1. May 2012. 2. Recall some. . math. t. (. F. ,. G. ):. . Probability that random . Dr. Andrew Wallace PhD . BEng. (hons) . EurIng. andrew.wallace@cs.umu.se. Overview. Sets. Implementation. Complexity. Graphs. Constructing . Graphs. Graph examples. Sets. Collection of items. No specified ordered. Color . Camera models, camera calibration. Advanced image pre-processing . Line detection. Corner detection. Maximally stable extremal regions. Mathematical Morphology. . binary. gray-scale. skeletonization. Color . Camera models, camera calibration. Advanced image pre-processing . Line . detection. Corner detection. Maximally stable extremal regions. Mathematical Morphology. . binary. gray-scale. skeletonization. Graph Theory. Ajit. A. . Diwan. Department of Computer Science and Engineering, I. I. T. Bombay.. Email: aad@cse.iitb.ac.in. Basic Question. Let . H. be a fixed graph.. What is the maximum number of edges in a graph . Color . Camera models, camera calibration. Advanced image pre-processing . Line detection. Corner detection. Maximally stable extremal regions. Mathematical Morphology. . binary. gray-scale. skeletonization. m Mechanical Models . for . Near . Extremal. Black Holes . . Juan Maldacena . Institute for Advanced Study. GR 21. July 2016. Black holes from outside. Black hole seen from the outside = thermal quantum mechanical system with a finite, but very large, number of . and Structural Properties of Networks . Zhi-Li Zhang. zhzhang@cs.umn.edu. Qwest Chair Professor. Dept. of Computer Science & Eng., . University of Minnesota. MURI April Meeting. Central Questions. Eyal. Ackerman. University of Haifa and . Oranim. College. Drawing graphs in the plane. Consider drawings of graphs in the plane . s.t. .. No loops or parallel edges. Vertices .  distinct points. L. á. szl. ó. . Lov. á. sz. Eötvös Loránd University. Budapest . September 2012. 1. September 2012. Tur. á. n’s Theorem . (special case proved by Mantel):. . G. contains no triangles .  #edges.