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JCT
2007
103views more  JCT 2007»
13 years 8 months ago
Geometric drawings of Kn with few crossings
We give a new upper bound for the rectilinear crossing number cr(n) of the complete geometric graph Kn. We prove that cr(n) ≤ 0.380559 ¡n 4 ¢ + Θ(n3 ) by means of a new const...
Bernardo M. Ábrego, Silvia Fernández...
PKDD
2009
Springer
129views Data Mining» more  PKDD 2009»
14 years 3 months ago
RTG: A Recursive Realistic Graph Generator Using Random Typing
We propose a new, recursive model to generate realistic graphs, evolving over time. Our model has the following properties: it is (a) flexible, capable of generating the cross pro...
Leman Akoglu, Christos Faloutsos
ICDM
2008
IEEE
122views Data Mining» more  ICDM 2008»
14 years 3 months ago
Nonnegative Matrix Factorization for Combinatorial Optimization: Spectral Clustering, Graph Matching, and Clique Finding
Nonnegative matrix factorization (NMF) is a versatile model for data clustering. In this paper, we propose several NMF inspired algorithms to solve different data mining problems....
Chris H. Q. Ding, Tao Li, Michael I. Jordan
ENDM
2007
74views more  ENDM 2007»
13 years 8 months ago
The order of the largest complete minor in a random graph
Let ccl(G) denote the order of the largest complete minor in a graph G (also called the contraction clique number) and let Gn,p denote a random graph on n vertices with edge probab...
Nikolaos Fountoulakis, Daniela Kühn, Deryk Os...
WDAG
2007
Springer
105views Algorithms» more  WDAG 2007»
14 years 3 months ago
Rendezvous of Mobile Agents in Unknown Graphs with Faulty Links
A group of identical mobile agents moving asynchronously among the nodes of an anonymous network have to gather together in a single node of the graph. This problem known as the (a...
Jérémie Chalopin, Shantanu Das, Nico...