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LPAR
2004
Springer
15 years 11 months ago
Entanglement - A Measure for the Complexity of Directed Graphs with Applications to Logic and Games
We propose a new parameter for the complexity of finite directed graphs which measures to what extent the cycles of the graph are intertwined. This measure, called entanglement, i...
Dietmar Berwanger, Erich Grädel
STOC
2010
ACM
170views Algorithms» more  STOC 2010»
15 years 10 months ago
Connectivity oracles for failure prone graphs
Dynamic graph connectivity algorithms have been studied for many years, but typically in the most general possible setting, where the graph can evolve in completely arbitrary ways...
Ran Duan, Seth Pettie
WADS
1993
Springer
163views Algorithms» more  WADS 1993»
15 years 10 months ago
Minimum Weight Euclidean Matching and Weighted Relative Neighborhood Graphs
The Minimum Weight Euclidean Matching (MWEM) problem is: given 2n point sites in the plane with Euclidean metric for interpoint distances, match the sites into n pairs so that the...
Andy Mirzaian
STOC
2009
ACM
144views Algorithms» more  STOC 2009»
16 years 7 months ago
Homology flows, cohomology cuts
We describe the first algorithm to compute maximum flows in surface-embedded graphs in near-linear time. Specifically, given a graph embedded on a surface of genus g, with two spe...
Erin W. Chambers, Jeff Erickson, Amir Nayyeri
SODA
2010
ACM
261views Algorithms» more  SODA 2010»
16 years 3 months ago
Bidimensionality and Kernels
Bidimensionality theory appears to be a powerful framework in the development of meta-algorithmic techniques. It was introduced by Demaine et al. [J. ACM 2005 ] as a tool to obtai...
Fedor V. Fomin, Daniel Lokshtanov, Saket Saurabh, ...