PPT-CSE 373 Topological Sort

Graph Traversals Spring 2015 Yanling He Graphs A Graph G V E Represents relationships among items Can be directed or undirected Complexity is OEV is OV2 Graph Data Structure. Trees are a specific instance of a construct called a graph In general a graph is composed of edges and vertice s that link the nodes together A graph G is often denoted GVE where V is the set of vertices and E the set of edges Two types of graphs Data Structures & Algorithms. Discussion Session. Sort. What is sort?. Why sort?. Examples. Dictionary . Search (Google) . Sorting Algorithms. Quicksort. Merge sort. Heapsort. Insertion sort. Selection sort. ISSP, The University of Tokyo, Masatoshi Sato. 2. 3. Outline. . What is topological superconductor. T. opological superconductors in various systems. 4. What is topological superconductor ?. Topological superconductors . and Beyond. Kai. . Sun. University . of Maryland, College Park. Outline. Topological state of matter. Topological nontrivial structure and topological index. Anomalous quantum Hall state and the . Chern. Superconductors. Akira . Furusaki. 2012/2/8. 1. YIPQS Symposium. Condensed matter physics. Diversity of materials. Understand their properties. Find. new states of matter. Emergent behavior of electron systems at low energy. Topological Sort (ver. 1 & 2): Gunning for linear time Kyoto University, YITP, Masatoshi SATO. Mahito Kohmoto (University of Tokyo, ISSP). . Yong-Shi Wu (Utah University). In collaboration with. 2. Review paper on Topological Quantum Phenomena. Y. Tanaka, MS, N. . Michael Freedman. April 23, 2009. Parsa Bonderson. Adrian Feiguin. Matthew Fisher. Michael Freedman. Matthew Hastings. Ribhu Kaul. Scott Morrison. Chetan Nayak. Simon Trebst. Kevin Walker. Zhenghan Wang. Dimitrie Culcer. D. Culcer, PRB 84, 235411 (2011). . D. Culcer, . Physica. E 44, 860 (2012) – review on TI transport . Outline. Introduction to topological insulators. Guillaume Flandin. Wellcome. Trust Centre for Neuroimaging. University College London. SPM Course. London, . May 2014. Many thanks to Justin . Chumbley. , Tom Nichols and Gareth Barnes . for slides. Michael Freedman. April 23, 2009. Parsa Bonderson. Adrian Feiguin. Matthew Fisher. Michael Freedman. Matthew Hastings. Ribhu Kaul. Scott Morrison. Chetan Nayak. Simon Trebst. Kevin Walker. Zhenghan Wang. Hafezi. , S. Mittal, J. Fan, A. . Migdall. , J.M. Taylor, Nature Photonics, . (. 2013. ) . doi:10.1038/nphoton.2013.274. . Topology . -- the understanding of how things are connected -- remains abstract, even with the popular example of doughnuts and coffee cups. This concept, esoteric as it appears, is also neat because it is the basis for creating . . - Insulating State, Topology and Band Theory. . II. Band Topology in One Dimension. . - Berry phase and electric polarization. - Su Schrieffer . Heeger. model : . domain wall states and . Girish S . Setlur. Department of Physics. IIT Guwahati. COPYRIGHT DISCLAIMER: . ALL ILLUSTRATIONS . AND SOME PASSAGES IN . THESE SLIDES HAVE BEEN DOWNLOADED FROM VARIOUS INTERNET SOURCES.. LISTING EACH SOURCE SEPARATELY WILL TAKE UP ALL MY TIME SO I SHALL DESIST FROM DOING SO..