PPT-Groups of vertices and Core-periphery structure

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. core periphery a Early industrialisation brings concentration of investment wealth and power into a single strong core The periphery provides raw materials and labour to the core while the core provides manufactured goods to the periphery The net re ADJACENCY-Matrix. based Graph. CSC 213 – Large Scale Programming. Today’s Goals. Review first two implementation . for Graph ADT. What fields & data used in . edge-list based approach. Operations. P. art . 3. Proteins. Proteins!. Functions of Proteins. Structural . support. Storage. Transport. Cellular . communications. Movement. Defense . against foreign . substances. Proteins. Monomer: amino acids. Contemporary Problems in the Anthropology of Africa. Spring, 2010. Words we use a lot.. Global. Local. Cosmopolitan . Transnational. Globalization. Translocal. Network. Nation. Tribe. Village. Community. General. Amino Acids:. Building blocks for peptides, proteins. Some individually important (or converted to important molecules). Gly. , . Glu. , Tyr .  neurotransmitters. Tyr  . parent/precursor. Ancient Rome. Patricians. Knights. Plebeians. Slaves. Middle Ages. Feudal Lords. Vassals. Guild-masters. Journeymen. Apprentices. Serfs. Modern Society. Bourgeois. Proletariat. Historical . Dialecticalism. November 2012. Breaking a complex problem into parts:. System. Closed Open. a system that does not allow matter to pass through its boundaries, but may allow energy to pass through its boundaries. Bureaucratic . stuff. Ghana. Books / discussion . Brown Bag series. H-Atlantic. “. in observing America, Europe was in the first instance observing itself. .”. Sir John Elliott. Columbus . was involved in “the production of wonder. and. Core-periphery . 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). 10 – Graph . & BFS & DFS. JJCAO. Graph Are Not. 2. Graphs. G = (V,E. ). V[G] = {1,2,3,4,5,6} |V| = 6. E[G] = {{1,2},{1,5},{2,5},{3,6}}. Note: . {. u,v. } = (. u,v. ) = (. v,u. ). (. u,v. ): . Social Structure and Status. social structure . - the underlying patterns of relationships in a group . status. . - a position a person occupies within a social structure (mother, son, student, doctor, musician, athlete) . System . Theory. Core?. Periphery?. Core and Periphery Model. Polar Projection. The Emergence of the World System. The world system is the result of the increasing interdependence of cultures and ecosystems that were once relatively isolated by distance and boundaries.. and. any countries on the south side of the line which are considered part of the “North.. ”. 1. Core. -periphery (MDC-LDC). Definition: The . core is the wealthy countries, also called more developed countries, or MDCs.  Because they are all in the Northern Hemisphere they appear – on a polar projection -  as a core, surrounded by a periphery of poorer, less developed countries in the Southern Hemisphere. . Core-periphery structure. Excellence Through Knowledge. Prof. Ralucca Gera, rgera@nps.edu . Applied Mathematics Department, . Naval Postgraduate School. Learning Outcomes. Understand and contrast the different k-clique relaxation definitions:.