PDF-3.6 DAGs and Topological Ordering

Author : luanne-stotts | Published Date : 2016-08-14

v 1 v 2 v 3 v 4 v 5 v 6 v 7 2 Directed Acyclic Graphs Def A DAG is a directed graph that contains no directed cycles Ex Precedence constraints edge v i v j means

Presentation Embed Code

Download Presentation

Download Presentation The PPT/PDF document "3.6 DAGs and Topological Ordering" is the property of its rightful owner. Permission is granted to download and print the materials on this website for personal, non-commercial use only, and to display it on your personal computer provided you do not modify the materials and that you retain all copyright notices contained in the materials. By downloading content from our website, you accept the terms of this agreement.

3.6 DAGs and Topological Ordering: Transcript

v 1 v 2 v 3 v 4 v 5 v 6 v 7 2 Directed Acyclic Graphs Def A DAG is a directed graph that contains no directed cycles Ex Precedence constraints edge v i v j means v i must precede v j . 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. Directed Acyclic Graphs. Anthony Bonato. Ryerson University. SIAMDM’12. Seepage in DAGs. Hierarchical social networks. Twitter is highly directed: can view a user and followers as a . directed acyclic graph (DAG). 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 . 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. 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. Robert Grandl, Srikanth . Kandula. , . Sriram. Rao, Aditya Akella, Janardhan Kulkarni. University of Wisconsin, . Madison. The Cluster. . Scheduling Problem. Jobs. Goal: . match. . tasks. to . resources. 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 . Graph Traversals. Spring 2015. Yanling He. Graphs. A Graph G = (V, E). Represents relationships among items. Can be directed or undirected. Complexity is O(|E|+|V|) is O(|V|^2). Graph Data Structure. . - 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..

Download Document

Here is the link to download the presentation.
"3.6 DAGs and Topological Ordering"The content belongs to its owner. You may download and print it for personal use, without modification, and keep all copyright notices. By downloading, you agree to these terms.