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» The b-chromatic Number of a Graph
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RSA
2000
98views more  RSA 2000»
13 years 10 months ago
Degrees and choice numbers
The choice number ch(G) of a graph G = (V, E) is the minimum number k such that for every assignment of a list S(v) of at least k colors to each vertex v V , there is a proper ve...
Noga Alon
HICSS
2008
IEEE
90views Biometrics» more  HICSS 2008»
14 years 4 months ago
Power System Extreme Event Detection: The Vulnerability Frontier
In this work we apply graph theoretic tools to provide a close bound on a frontier relating the number of line outages in a grid to the power disrupted by the outages. This fronti...
Bernard C. Lesieutre, Ali Pinar, Sandip Roy
SC
1995
ACM
14 years 1 months ago
Analysis of Multilevel Graph Partitioning
Recently, a number of researchers have investigated a class of algorithms that are based on multilevel graph partitioning that have moderate computational complexity, and provide ...
George Karypis, Vipin Kumar
KDD
2005
ACM
140views Data Mining» more  KDD 2005»
14 years 10 months ago
Graphs over time: densification laws, shrinking diameters and possible explanations
How do real graphs evolve over time? What are "normal" growth patterns in social, technological, and information networks? Many studies have discovered patterns in stati...
Jure Leskovec, Jon M. Kleinberg, Christos Faloutso...
AI
2010
Springer
13 years 10 months ago
Optimal query complexity bounds for finding graphs
We consider the problem of finding an unknown graph by using two types of queries with an additive property. Given a graph, an additive query asks the number of edges in a set of ...
Sung-Soon Choi, Jeong Han Kim