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» On the Grundy Number of a Graph
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SC
1995
ACM
15 years 10 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»
16 years 6 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
15 years 6 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
RSA
2008
123views more  RSA 2008»
15 years 6 months ago
Generating unlabeled connected cubic planar graphs uniformly at random
We present an expected polynomial time algorithm to generate an unlabeled connected cubic planar graph uniformly at random. We first consider rooted connected cubic planar graphs, ...
Manuel Bodirsky, Clemens Gröpl, Mihyun Kang
ICALP
2011
Springer
14 years 10 months ago
Clustering with Local Restrictions
We study a family of graph clustering problems where each cluster has to satisfy a certain local requirement. Formally, let µ be a function on the subsets of vertices of a graph G...
Daniel Lokshtanov, Dániel Marx