PPT-Centrality of Trees for Capacitated

Author : celsa-spraggs | Published Date : 2016-04-23

k Center HyungChan An École Polytechnique Fédérale de Lausanne July 29 2013 Joint work with Aditya Bhaskara amp Ola Svensson Independent work of Chandra Chekuri

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Centrality of Trees for Capacitated: Transcript

k Center HyungChan An École Polytechnique Fédérale de Lausanne July 29 2013 Joint work with Aditya Bhaskara amp Ola Svensson Independent work of Chandra Chekuri Shalmoli Gupta amp . in . Networks. Michael Ovelg. önne. UMIACS. University of Maryland. mov@umiacs.umd.edu. 1. Chanhyun Kang, Anshul Sawant. Computer Science Dept.. University of Maryland. {chanhyun, asawant}@cs.umd.edu. Ravishankar. . Krishnaswamy. (joint work with Nikhil . Bansal. and . Barna. . Saha. ). Approximating Set Cover. Given . m sets, n elements. Find . minimum cost. collection of sets . to cover . 7. Centrality (. cont. ). Slides modified from . Lada. . Adamic. and . Dragomir. . Radev. Outline. Degree centrality. Centralization . Betweenness. centrality. Closeness centrality. Eigenvector centrality. . Negahban. . Sewoong. Oh Devavrat Shah. Yale + UIUC + MIT. Rank centrality: . Ranking from comparisons. Some scenarios. Given partial preferences. Compute . global. . ranking . with . scores to reflect . 3. Network Centrality measures. Introduction to PCA and PLS. K-mean clustering. Protein function prediction using network . concepts. Centrality measures of nodes. Centrality measures. Within graph theory and network analysis, there are various measures of the centrality of a vertex within a graph that determine the . Devavrat Shah. LIDS+CSAIL+EECS+ORC. Massachusetts Institute of Technology. Network centrality. It’s a graph score function . Given graph G=(V, E). Assigns “scores” to nodes in the graph. That is, . Edith Cohen. Joint with: . Thomas . Pajor. , . Daniel . Delling. , Renato . Werneck. Microsoft Research . Very Large Graphs. Model many types of relations and interactions (edges) between entities (nodes). Edith Cohen. Joint with: . Thomas . Pajor. , . Daniel . Delling. , Renato . Werneck. Very Large Graphs. Model relations and interactions (edges) between entities (nodes). Call . detail, . email exchanges, . Excellence Through Knowledge. A periodic table of centralities. 2. An interactive periodic table of centralities: . http://. schochastics.net/sna/periodic.html. Different types of centralities:. 3. Source: Discovering Sets of Key Players in Social Networks – Daniel Ortiz-Arroyo – Springer 2010/. The “Centralities”. Degree Centrality . 2. The “Centralities”. Quality:. what makes a node important (central). Mathematical. Description. Appropriate Usage. Identification. Lots of one-hop. Some pages are adapted. from Dan Ryan, . Mills College. B. etweenness. Centrality. I. ntuition. : how many pairs of individuals would have to go through you in order to reach one another in the minimum number of hops. ). Slides modified from . Lada. . Adamic. and . Dragomir. . Radev. Outline. Degree centrality. Centralization . Betweenness. centrality. Closeness centrality. Eigenvector centrality. Bonacich. power centrality. Quality:. what makes a node important (central). Mathematical. Description. Appropriate Usage. Identification. Lots of one-hop. connections from . The number of vertices that . influences directly. www.aaaai.org OAAC 522 v2017

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