Dimer covering and percolation frustration.

@article{HajiAkbari2015DimerCA,
  title={Dimer covering and percolation frustration.},
  author={Amir Haji-Akbari and Nasim Haji-Akbari and Robert M. Ziff},
  journal={Physical review. E, Statistical, nonlinear, and soft matter physics},
  year={2015},
  volume={92 3},
  pages={
          032134
        }
}
Covering a graph or a lattice with nonoverlapping dimers is a problem that has received considerable interest in areas, such as discrete mathematics, statistical physics, chemistry, and materials science. Yet, the problem of percolation on dimer-covered lattices has received little attention. In particular, percolation on lattices that are fully covered by nonoverlapping dimers has not evidently been considered. Here, we propose a procedure for generating random dimer coverings of a given… 

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