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» The Complexity of Graph Connectivity
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DM
2000
115views more  DM 2000»
13 years 10 months ago
Dualizability and graph algebras
We characterize the finite graph algebras which are dualizable. Indeed, a finite graph algebra is dualizable if and only if each connected component of the underlying graph is eith...
Brian A. Davey, Pawel M. Idziak, William A. Lampe,...
PODC
2006
ACM
14 years 4 months ago
On the complexity of distributed graph coloring
Coloring the nodes of a graph with a small number of colors is one of the most fundamental problems in theoretical computer science. In this paper, we study graph coloring in a di...
Fabian Kuhn, Roger Wattenhofer
IANDC
2007
111views more  IANDC 2007»
13 years 10 months ago
Expressiveness and complexity of graph logic
We investigate the complexity and expressive power of a spatial logic for reasoning about graphs. This logic was previously introduced by Cardelli, Gardner and Ghelli, and provide...
Anuj Dawar, Philippa Gardner, Giorgio Ghelli
EM
2010
155views Management» more  EM 2010»
13 years 10 months ago
Hyperbolic Graphs of Small Complexity
In this paper we enumerate and classify the "simplest" pairs (M, G) where M is a closed orientable 3-manifold and G is a trivalent graph embedded in M. To enumerate the p...
Damian Heard, Craig Hodgson, Bruno Martelli, Carlo...
SDM
2012
SIAM
297views Data Mining» more  SDM 2012»
12 years 1 months ago
A Flexible Open-Source Toolbox for Scalable Complex Graph Analysis
The Knowledge Discovery Toolbox (KDT) enables domain experts to perform complex analyses of huge datasets on supercomputers using a high-level language without grappling with the ...
Adam Lugowski, David M. Alber, Aydin Buluç,...