PPT-Graph Theory, Topological Analysis

ECE 580 12 Graph Theory Topological Analysis Terms Topological Analysis General systematic suited for CAD Graph Nodes and directed branches describes the topology of the circuit ref direction Helps visualize CAD. Lindsay Mullen. (Abstract) Algebra and Number Theory. Combinatorics. (Discrete Mathematics). Graph Theory. Graph Coloring. What is Graph Theory?. Branch . of . mathematics . concerned with networks of points connected by . 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. Combinatorics. Graph Theory. . Topological Graph Theory. Topological Graph Theory. David Craft. A . graph. . is a set of . vertices. . (or points). A . graph. is a set of . vertices. (or points). Graphs are a flexible & unifying model. Scalable similarity searches through novel index structure. Mining of significant fragments in collections. Classification of compounds based on significant fragments . 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. Weisong. . Tu. Department of Physics and Astronomy. University of Tennessee. Instructor: Dr. . George . Siopsis. Introduction. Quantum Hall Effect. The quantum Hall effect is a quantum-mechanical version of the Hall effect, observed in two-dimensional electron systems subjected to low temperatures and strong magnetic fields. In the quantum hall effect, and the conductivity can be represented as. Lecture 23. a. acyclic with neg. weights (topological sort algorithm). 8/25/2009. 1. ALG0183 Algorithms & Data Structures by Dr Andy Brooks. “The shortest-path algorithms are all . single-source algorithms. Dimitrie Culcer. D. Culcer, PRB 84, 235411 (2011). . D. Culcer, . Physica. E 44, 860 (2012) – review on TI transport . Outline. Introduction to topological insulators. 组员：马润泽 金佳霖 孙晋茹 宋化鼎 罗巍 申攀攀 沈齐欣 生冀明 刘易. Outline. Introduction. Brief history of topological insulators. Band theory. Quantum Hall effect. Superconducting proximity effect. 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. . and. . Topological. . phases. . of. matter. b. y. Reichmann Alexander. Overview. Phase . transitions. Topology. Quantum Hall . effect. Superconductivity. Applications. Phase . transition. Different . Takehito. Yokoyama, Yukio Tanaka. *. , and Naoto . Nagaosa. Department of Applied Physics, University of . Tokyo, Japan. *. Department . of Applied Physics, Nagoya . University, . Japan. arXiv:0907.2810. Iris Cong. Dept. of Computer Science, UCLA. Jointly authored with Prof. . Zhenghan. Wang (advisor) and . Meng. Cheng. arXiv:1609.02037. Contents. Introduction. Part I: Hamiltonian Realization. Part II: Algebraic Theory.