# A Pfaffian formula for the monomer–dimer model on surface graphs

@article{Pham2017APF, title={A Pfaffian formula for the monomer–dimer model on surface graphs}, author={Anh Minh Pham}, journal={Letters in Mathematical Physics}, year={2017}, volume={108}, pages={1885-1904} }

AbstractWe consider the monomer–dimer model on weighted graphs embedded in surfaces with boundary, with the restriction that only monomers located on the boundary are allowed. We give a Pfaffian formula for the corresponding partition function, which generalises the one obtained by Giuliani et al. (J Stat Phys 163(2):211–238, 2016) for graphs embedded in the disc. Our proof is based on an extension of a bijective method mentioned in Giuliani et al.
(2016), together with the Pfaffian formula…

## One Citation

The dimer and Ising models on non-orientable surfaces

- Physics
- 2017

Le but de cette these est d'etudier le modele des dimeres, le modele des monomeres-dimeres, et le modele d'Ising, plus particulierement les fonctions de partition de ces modeles pour des graphes…

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