PPT-Groups of vertices

and Coreperiphery structure By Ralucca Gera NPS Why Mostly observed real networks have Heavy tail powerlaw most probably exponential High clustering high number of triangles especially in social networks lower count otherwise. Objective: . Dilation. What is a . Dilation. ?. A dilation is a transformation that changes the size but not the shape of the figure. . We use “ .  ” to identify new points. . A Dilation can enlarge or reduce a figure by a . Dr. . Tathagata. Ray. Assistant Professor, BITS . Pilani. , Hyderabad Campus. rayt@hyderabad.bits-pilani.ac.in. . . Introduction to Meshes. The Mesh Generation is the discretization of a given domain into simpler elements such as triangles or quadrilaterals (2D) and tetrahedra or hexahedra (3D). . Date: ______________. Horizontal. transverse axis:. 9.5 Hyperbolas. x. . 2. a. 2. y. 2. b. 2. –. = 1. y. x. V. 1. (–. a. , 0). V. 2. (. a. , 0). Hyperbolas with Center (0,0). asymptotes: . y. = ± . Definitions. . A. . hyperbola. . is the set of all point P such that the difference of the distances between P and two fixed points, called the . foci. , is a constant. . The. . transverse axis. . Erin C. Carson. CS294, Fall 2011. Background. 2. Relevant work:. Toledo, S. Quantitative performance modeling of scientific computations and creating locality in numerical algorithms. PhD Thesis, 1995. . Global and Local Methods:. Decimation of Triangle Meshes (. Shroeder. , . Zarge. , . Lorenson. ) - 1992. Re-Tiling Polygonal Surfaces (Greg Turk) - 1992. Summary. Overview of Mesh Simplification. Local Simplification – Decimation. Kimberly Baez. The Problem:. . There is a Postman who delivers mail to a certain . neighborhood of streets. . The postman is unwilling to walk far so he wants to find the shortest route possible through the whole neighborhood. He must start and end at the same spot and walk down each street at least once. How can he accomplish this task?. Dr. . Tathagata. Ray. Assistant Professor, BITS . Pilani. , Hyderabad Campus. rayt@hyderabad.bits-pilani.ac.in. . . Introduction to Meshes. The Mesh Generation is the discretization of a given domain into simpler elements such as triangles or quadrilaterals (2D) and tetrahedra or hexahedra (3D). . -Prim’s. -. Djikstra’s. PRIM’s - Minimum Spanning Tree . A spanning tree of a graph is a tree that has all the vertices of the graph connected by some edges.. A graph can have one or more number of spanning trees.. Jing . Zhang, . Jie. . Tang . , Cong . Ma . , . Hanghang. . Tong . , Yu . Jing . , and . Juanzi. . Li. Presented by Moumita Chanda Das . Outline. Introduction. Problem formulation. Panther using path sampling. Section . 10.3. Representing Graphs: . Adjacency Lists. Definition. : An . adjacency list . can be used to represent a graph with no multiple edges by specifying the vertices that are adjacent to each vertex of the graph.. prepared and Instructed by. Shmuel Wimer. Eng. Faculty, Bar-Ilan University. The Friendship Theorem. May 2014. Connectivity. 2. Theorem. . (. Erdös. et. al. 1966) Let . be a simple, . -vertex graph, in which any two vertices (people) have exactly one common . Warm Up?. What are the kinds of services provided by Government Agencies?. Enforcing Laws. EQ: Explain the various types of government agencies as well as how citizens can stay informed and participate in government?. By: Ralucca Gera, . Applied math department,. Naval Postgraduate School. Monterey, CA, USA. Why?. Mostly observed real networks have:. Heavy tail (. powerlaw. most probably, exponential). High clustering (high number of triangles especially in social networks, lower count otherwise).