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 . 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. 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 . 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. . social . and neural network data. Darren A. Narayan. Rochester Institute of Technology. Joint work with Roger Vargas, Williams College, Bradford Mahon and Frank Garcea, Rochester Center for Brain Imaging, University of Rochester. Symmetry. Topology. Interplay between symmetry and topology has led to a new understanding of . electronic phases of matter.. Conceptual simplification. Conservation laws. Distinguish phases of matter. . social . and neural network data. Darren A. Narayan. Rochester Institute of Technology. Joint work with Roger Vargas, Williams College, Bradford Mahon and Frank Garcea, Rochester Center for Brain Imaging, University of Rochester. Interpolation Search . Insertion Sort . quick review. DFS, BFS. Topological Sort. MA/CSSE 473 Day 12. Questions?. Interpolation Search. Insertion sort analysis. Depth-first Search. Breadth-first Search. . Cumrun Vafa. . Oct. 31, 2017. . 20 . Years . Later: The Many Faces of . AdS. /CFT. Princeton University. 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. Announcements. Talk on technical interviews . today!. Gugenheim. 220 at 1:10 PM.. Para Exercise feedback soon.. P2 Feedback (hopefully) Saturday.. Announcements. Please fill out course evaluations.. . - 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 .