PPT-Levinson’s Theorem for Scattering on Graphs

DJ Strouse University of Southern California Andrew M Childs University of Waterloo Why Scatter on Graphs NAND Tree problem Best classical algorithm Randomized Only needs to evaluate of the leaves. 1. Cops and Robbers: Directions and Generalizations. Anthony Bonato. Ryerson University. GRASTA . 2012 . Happy 60. th. Birthday RJN. May your searching never end.. Cops and Robbers. 2. Cops and Robbers. Stephen . Finbow. , St. Francis Xavier. Ryerson University, GRASCAN. May 27, 2012. Firefighter Problem. Firefighter Problem. Firefighter Problem. Firefighter Problem. Firefighter Problem. Firefighter Problem. , flow, and cuts: an introduction. University of Washington. James R. Lee. max-flow min-cut theorem. Flow network: . Graph . G. and non-negative capacities on edges. s. t. Max-flow Min-Cut Theorem: . Graphs. Fall . 2011. Sukumar Ghosh. Seven Bridges of . K. ⍥. nigsberg. Is it possible to walk along a route that cross . each bridge exactly once?. Seven Bridges of . K. ⍥. nigsberg. A Graph. What is a Graph. Bicoloured. Graphs: Dually Connectedness, . Dual Separators, and Beyond. CAI . Leizhen. The Chinese . Univ. of Hong Kong. Joint work with YE . Junjie. 2. 3. 4. Corneilian. Graph. Charles. Mark. Lorna . 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. Drawing. Graphs. Vertices. Edges. Graphs. Graphs. Graphs. Graphs. Graphs. Graphs. Graphs. Vertices. Edges. Graphs. Vertices. Edges. Graphs. Vertices. Edges. Planar Graph. can be drawn in the plane without crossings. Daniel A. Spielman. Yale University. AMS Josiah Willard Gibbs Lecture. January . 6. , 2016 . From Applied to Pure Mathematics. Algebraic and Spectral Graph Theory. . . Sparsification. :. a. pproximating graphs by graphs with fewer edges. Adulthood is a time of transition. Priorities are shifted as well as the outlook on life…. PHYSICAL CHANGES. Theory 1: our cells break down as we age. Theory 2: our cells are preset to limit the number of times they can divide and multiply. Daniel Lokshtanov. Based on joint work with Hans Bodlaender ,Fedor Fomin,Eelko Penninkx, Venkatesh Raman, Saket Saurabh and Dimitrios Thilikos. Background. Most interesting graph problems are . NP-hard. Planar graphs. 2. Planar graphs. Can be drawn on the plane without crossings. Plane graph: planar graph, given together with an embedding in the plane. Many applications…. Questions:. Testing if a graph is planar. 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. Fall. 2017. Sukumar Ghosh. Seven Bridges of . K. ⍥. nigsberg. Is it possible to walk along a route that cross . each bridge exactly once?. Seven Bridges of . K. ⍥. nigsberg. A Graph. What is a Graph. 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.