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» Annihilating random walks and perfect matchings of planar gr...
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CORR
2008
Springer
131views Education» more  CORR 2008»
13 years 5 months ago
Deterministically Isolating a Perfect Matching in Bipartite Planar Graphs
We present a deterministic way of assigning small (log bit) weights to the edges of a bipartite planar graph so that the minimum weight perfect matching becomes unique. The isolati...
Samir Datta, Raghav Kulkarni, Sambuddha Roy
COMBINATORICS
2000
114views more  COMBINATORICS 2000»
13 years 4 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...
CORR
2011
Springer
188views Education» more  CORR 2011»
12 years 12 months ago
Planar Cycle Covering Graphs
We describe a new variational lower-bound on the minimum energy configuration of a planar binary Markov Random Field (MRF). Our method is based on adding auxiliary nodes to every...
Julian Yarkony, Alexander T. Ihler, Charless C. Fo...
CPHYSICS
2011
271views Education» more  CPHYSICS 2011»
12 years 8 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