PPT-MA4404 Complex Networks Groups of vertices and

Coreperiphery structure Excellence Through Knowledge Prof Ralucca Gera rgeranpsedu Applied Mathematics Department Naval Postgraduate School Learning Outcomes Understand and contrast the different kclique relaxation definitions. Definitions and concepts . How do they networks relate to health?. Case studies . Session outcomes . To outline the nature of social and community networks . To define the concepts of social support and social capital . classical/quantum . phase transitions. Ginestra . Bianconi. . Department of Physics, Northeastern . University, Boston. ETC Trento Workshop. Spectral properties of complex networks . Trento 23-29 July, . Step 0.) Start by adding 0-dimensional vertices . (0-simplices). Creating a simplicial complex. 1. .) . A. dding . 1. -dimensional edges (1-simplices). Add an edge between data points that are “close”. Matrices of Graphs:. Algorithms and Applications. ICML, June 21, 2016. Daniel A. Spielman. Laplacians. . Interpolation on graphs. Spring networks. . Clustering. . Isotonic regression. Sparsification. Three dimensional (3D) shapes are defined by the number of . faces, edges. and . vertices. (corners) that they have.. VERTEX (plural is vertices). EDGE. TETRAHEDRON. FACE. Step 0.) Start by adding 0-dimensional vertices . (0-simplices). Creating a simplicial complex. 1. .) . A. dding . 1. -dimensional edges (1-simplices). Add an edge between data points that are “close”. .. . Once a student knows the difference between the three sentence types (simple, compound, and complex), it is possible to write with sentence variety. Sentence variety helps make your writing more interesting.. Planar graphs. 2. Planar graphs. Can be drawn on the plane without crossings. Plane graph: planar graph, given together with an embedding in the plane. Many applications…. Questions:. Testing if a graph is planar. CUBOID. It has 4 rectangular faces, 2 square faces, 8 vertices and 12 edges.. TRIANGULAR PRISM. It has 3 rectangular faces, 2 triangular faces, 6 vertices and 9 edges.. HEXAGONAL PIRAMID. It has 6 triangular faces, 1 face hexagonal, 7 vertices and 12 edges.. What is a compound sentence?. A . compound sentence . has at least one . independent clause. ; . it is . usually two independent clauses joined by a semi-colon or a conjunction.. In other words, a . compound . Konstantin Zuev. http. ://www.its.caltech.edu/~zuev. /. University of Southern California. Probability and Statistics Seminar . Sept 9, 2016. Background: Complex Networks. What are networks?. The Oxford English Dictionary: . Brian Aronson. Review of ego networks. Ego network (personal network). Ego: Focal node/respondent. Alter: Actors ego has ties with. Dyad: Pair of individuals. Ties. (Ego). D. C. B. Tie types. Friends. 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). ). Prof. . Ralucca Gera, . Applied Mathematics Dept.. Naval Postgraduate School. Monterey, California. rgera@nps.edu. Excellence Through Knowledge. Learning Outcomes. I. dentify . network models and explain their structures.