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» Minimal Partitions of a Graph
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FOCS
2002
IEEE
15 years 8 months ago
The Partition Technique for Overlays of Envelopes
We obtain a near-tight bound of O(n3+ε ), for any ε > 0, on the complexity of the overlay of the minimization diagrams of two collections of surfaces in four dimensions. This...
Vladlen Koltun, Micha Sharir
118
Voted
TALG
2008
115views more  TALG 2008»
15 years 3 months ago
Combinatorial bounds via measure and conquer: Bounding minimal dominating sets and applications
We provide an algorithm listing all minimal dominating sets of a graph on n vertices in
Fedor V. Fomin, Fabrizio Grandoni, Artem V. Pyatki...
107
Voted
CIAC
2010
Springer
258views Algorithms» more  CIAC 2010»
16 years 26 days ago
A Planar Linear Arboricity Conjecture
The linear arboricity la(G) of a graph G is the minimum number of linear forests that partition the edges of G. In 1984, Akiyama et al. [1] stated the Linear Arboricity Conjecture...
Marek Cygan, Lukasz Kowalik, Borut Luzar
148
Voted
COLT
2004
Springer
15 years 9 months ago
On the Convergence of Spectral Clustering on Random Samples: The Normalized Case
Given a set of n randomly drawn sample points, spectral clustering in its simplest form uses the second eigenvector of the graph Laplacian matrix, constructed on the similarity gra...
Ulrike von Luxburg, Olivier Bousquet, Mikhail Belk...
114
Voted
STOC
2005
ACM
135views Algorithms» more  STOC 2005»
16 years 3 months ago
Hardness of the undirected congestion minimization problem
We show that there is no log log M log log log M -approximation for the undirected congestion minimization problem unless NP ZPTIME(npolylog n ), where M is the size of the grap...
Matthew Andrews, Lisa Zhang