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APPROX
2004
Springer
105views Algorithms» more  APPROX 2004»
14 years 2 months ago
Counting Connected Graphs and Hypergraphs via the Probabilistic Method
While it is exponentially unlikely that a sparse random graph or hypergraph is connected, with probability 1 − o(1) such a graph has a “giant component” that, given its numbe...
Amin Coja-Oghlan, Cristopher Moore, Vishal Sanwala...
KDD
2005
ACM
127views Data Mining» more  KDD 2005»
14 years 2 months ago
Mining closed relational graphs with connectivity constraints
Relational graphs are widely used in modeling large scale networks such as biological networks and social networks. In this kind of graph, connectivity becomes critical in identif...
Xifeng Yan, Xianghong Jasmine Zhou, Jiawei Han
SIAMCOMP
2010
120views more  SIAMCOMP 2010»
13 years 7 months ago
Edge Disjoint Paths in Moderately Connected Graphs
Abstract. We study the Edge Disjoint Paths (EDP) problem in undirected graphs: Given a graph G with n nodes and a set T of pairs of terminals, connect as many terminal pairs as pos...
Satish Rao, Shuheng Zhou
LATIN
2004
Springer
14 years 2 months ago
Bidimensional Parameters and Local Treewidth
For several graph-theoretic parameters such as vertex cover and dominating set, it is known that if their sizes are bounded by k then the treewidth of the graph is bounded by some ...
Erik D. Demaine, Fedor V. Fomin, Mohammad Taghi Ha...
DM
2007
113views more  DM 2007»
13 years 8 months ago
Counting labeled general cubic graphs
Recurrence relations are derived for the numbers of labeled 3-regular graphs with given connectivity, order, number of double edges, and number of loops. This work builds on metho...
Gab-Byung Chae, Edgar M. Palmer, Robert W. Robinso...