PPT-Graph

Sparsifiers by EdgeConnectivity and Random Spanning Trees Nick Harvey University of Waterloo Department of Combinatorics and Optimization Joint work with Isaac Fung TexPoint fonts used in EMF . We call the tail of the head of and uv the ends of If there is an edge with tail and head then we let uv denote such an edge and we say that this edge is directed from to Loops Parallel Edges and Simple Digraphs An edge uv in a digraph is a 10 11 Graph Search Methods Many graph problems solved using a search method Path from one vertex to another Is the graph connected Find a spanning tree Etc Commonly used search methods Breadthfirst search Depthfirst search BreadthFirst Search Visit Anand Tripathi, Vinit Padhye, . Tara Sasank Sunkara. Department of Computer Science. University of Minnesota. . Presentation by . Tara Sasank Sunkara. eBay Inc.. Acknowledgements:. This work was partly supported by NSF award 1319333. 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 . P. artitioning. a. nd. . Clustering for. Community . Detection. . Presented By: Group One. 1. Outline. Introduction:  . Hong . Hande. Graph Partitioning: . Muthu. Kumar . C . and . Xie . Shudong. Wei Wang. Department of Computer Science. Scalable Analytics Institute. UCLA. weiwang@cs.ucla.edu. Graphs/Networks. FFSM (ICDM03), SPIN (KDD04),. GDIndex. (ICDE07). MotifMining. (PSB04, RECOMB04, ProteinScience06, SSDBM07, BIBM08). L. á. szl. ó. . Lov. á. sz. . Eötvös. . Lor. ánd. . University, . Budapest. IAS, Princeton. . June 2011. 1. June 2011. Limit . theories. of . discrete. . structures. trees. graphs. digraphs. Hamid. . Alaei. (Vertex) Coloring of a graph . G = (V,E) . is a map function . c. . : V → C. C. : set of colors. for every edge . vw. ∈ E: c(v) ≠ c(w). .. chromatic number . χ(G). is the minimal number of colors needed in a coloring of . Functions. KFUPM - Prep Year Math Program (c) 20013 All Right Reserved. Domain . of a . Function . . Vertical Line Test . . Piecewise Function . Graphing a . function . KFUPM - Prep Year Math Program (c) 2009 All Right Reserved. . 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. Sparsification for Graph Clustering. Peixiang Zhao. Department of Computer Science. Florida State University. zhao@cs.fsu.edu. Synopsis. Introduction. gSparsify. : Graph motif based sparsification. Cluster significance. Using graph theory to solve games and problems. Dr. Carrie Wright. University of Arizona. Teacher’s Circle. November 17, 2011. BRIDGES OF KONIGSBERG. In Konigsberg, East Prussia, a river runs through the city such that in its center is an island, and after passing the island, the river broke into two parts. Seven bridges were built so that the people of the city could get from one part to another. . Hao Wei. 1. , . Jeffrey Xu Yu. 1. , Can L. u. 1. , . Xuemin. Lin. 2. . 1 . The . Chinese University of Hong Kong, Hong Kong. 2 . The . University of New South Wales. , . Sydney, Australia. Graph in Big Data . Adjacency List. Adjacency-Matrix. Pointers/memory for each node (actually a form of adjacency list). Adjacency List. List of pointers for each vertex. Undirected Adjacency List. Adjacency List. The sum of the lengths of the adjacency lists is 2|E| in an undirected graph, and |E| in a directed graph..