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» Lattices and Maximum Flow Algorithms in Planar Graphs
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ESA
2004
Springer
120views Algorithms» more  ESA 2004»
13 years 11 months ago
Maximum Matchings in Planar Graphs via Gaussian Elimination
We present a randomized algorithm for finding maximum matchings in planar graphs in time O(nω/2 ), where ω is the exponent of the best known matrix multiplication algorithm. Sin...
Marcin Mucha, Piotr Sankowski
STOC
2009
ACM
144views Algorithms» more  STOC 2009»
14 years 6 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
COMBINATORICS
2000
114views more  COMBINATORICS 2000»
13 years 5 months ago
Trees and Matchings
In this article, Temperley's bijection between spanning trees of the square grid on the one hand, and perfect matchings (also known as dimer coverings) of the square grid on ...
Richard Kenyon, James Gary Propp, David Bruce Wils...
ICGA
1993
296views Optimization» more  ICGA 1993»
13 years 7 months ago
A Genetic Algorithm Applied to the Maximum Flow Problem
A genetic algorithms is applied to find a maximum flow from the source to sink in a weighted directed graph, where the weight associated with each edge represents its flow capacit...
Toshinori Munakata, David J. Hashier
CPHYSICS
2011
271views Education» more  CPHYSICS 2011»
12 years 9 months ago
A dedicated algorithm for calculating ground states for the triangular random bond Ising model
In the presented article we present an algorithm for the computation of ground state spin configurations for the 2d random bond Ising model on planar triangular lattice graphs. T...
O. Melchert, A. K. Hartmann