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» Decomposition of sparse graphs, with application to game col...
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TCS
2008
13 years 5 months ago
Digraph measures: Kelly decompositions, games, and orderings
We consider various well-known, equivalent complexity measures for graphs such as elimination orderings, k-trees and cops and robber games and study their natural translations to ...
Paul Hunter, Stephan Kreutzer
WG
2005
Springer
13 years 11 months ago
Hypertree Decompositions: Structure, Algorithms, and Applications
We review the concepts of hypertree decomposition and hypertree width from a graph theoretical perspective and report on a number of recent results related to these concepts. We al...
Georg Gottlob, Martin Grohe, Nysret Musliu, Marko ...
ICALP
2011
Springer
12 years 9 months ago
Vertex Cover in Graphs with Locally Few Colors
In [13], Erd˝os et al. defined the local chromatic number of a graph as the minimum number of colors that must appear within distance 1 of a vertex. For any ∆ ≥ 2, there are ...
Fabian Kuhn, Monaldo Mastrolilli
STOC
2010
ACM
220views Algorithms» more  STOC 2010»
13 years 9 months ago
Combinatorial approach to the interpolation method and scaling limits in sparse random graphs
We establish the existence of free energy limits for several sparse random hypergraph models corresponding to certain combinatorial models on Erd¨os-R´enyi graph G(N, c/N) and r...
Mohsen Bayati, David Gamarnik, Prasad Tetali
KDD
2008
ACM
165views Data Mining» more  KDD 2008»
14 years 6 months ago
Colibri: fast mining of large static and dynamic graphs
Low-rank approximations of the adjacency matrix of a graph are essential in finding patterns (such as communities) and detecting anomalies. Additionally, it is desirable to track ...
Hanghang Tong, Spiros Papadimitriou, Jimeng Sun, P...