Update to v0.5
Substantial simplification of the proof Remove distinction between simple, evenly filled and enclosed graphs
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Figs/bethe.pdf
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Figs/bethe.pdf
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Figs/square.pdf
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Figs/square_auxiliary.pdf
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@ -23,6 +23,7 @@
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\BBlogentry{Ke01}{Ke01}{R. Kenyon - {\it Dominos and the Gaussian free field}, The Annals of Probability, Vol.~29, n.~3, p.~1128-1137, 2001.}
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\BBlogentry{Ko06c}{Ko06}{Y. Kong - {\it Monomer-dimer model in two-dimensional rectangular lattices with fixed dimer density}, Physical Review E, Vol.~74, n.~061102, 2006.}
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\BBlogentry{Kr06}{Kr06}{W. Krauth - {\it Statistical mechanics: Algorithms and computations}, Oxford Masters Series in Statistical, Computational, and Theoretical Physics, Oxford University Press, 2006.}
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\BBlogentry{Ku94}{Ku94}{G. Kuperberg - {\it Symmetries of plane partitions and the permanent-determinant method}, Journal of Combinatorial Theory, Series A, Vol.~68, n.~1, p.~115-151, 1994, doi:{\tt\color{blue}\href{http://dx.doi.org/10.1016/0097-3165(94)90094-9}{10.1016/0097-3165(94)90094-9}}.}
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\BBlogentry{Li67}{Li67}{E.H. Lieb - {\it Solution of the dimer problem by the transfer matrix method}, Journal of Mathematical Physics, Vol.~8, n.~12, p.~2339-2341, 1967, doi:{\tt\color{blue}\href{http://dx.doi.org/10.1063/1.1705163}{10.1063/1.1705163}}.}
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\BBlogentry{Li68}{Li68}{E.H. Lieb - {\it A theorem on Pfaffians}, Journal of Combinatorial Theory, Vol.~5, p.~313-319, 1968, doi:{\tt\color{blue}\href{http://dx.doi.org/10.1016/S0021-9800(68)80078-X}{10.1016/S0021-9800(68)80078-X}}.}
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\BBlogentry{LL93}{LL93}{E.H. Lieb, M. Loss - {\it Fluxes, Laplacians, and Kasteleyn's Theorem}, Duke Mathematical Journal, Vol.~71, n.~2, p.~337-363, 1993.}
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iansecs.sty
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iansecs.sty
@ -40,16 +40,6 @@
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\eject
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}
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%% prevent page breaks
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\newcount\prevpostdisplaypenalty
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\def\nopagebreakaftereq{
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\prevpostdisplaypenalty=\postdisplaypenalty
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\postdisplaypenalty=10000
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}
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\def\restorepagebreakaftereq{
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\postdisplaypenalty=\prevpostdisplaypenalty
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}
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%% hyperlinks
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% hyperlinkcounter
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\newcounter{lncount}
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toolbox.sty
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toolbox.sty
@ -34,6 +34,17 @@
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\@beginparpenalty=\prevparpenalty
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}
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%% prevent page breaks after displayed equations
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\newcount\prevpostdisplaypenalty
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\def\nopagebreakaftereq{
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\prevpostdisplaypenalty=\postdisplaypenalty
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\postdisplaypenalty=10000
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}
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%% back to previous value
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\def\restorepagebreakaftereq{
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\postdisplaypenalty=\prevpostdisplaypenalty
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}
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%% stack relations in subscript or superscript
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\def\mAthop#1{\displaystyle\mathop{\scriptstyle #1}}
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@ -44,3 +55,5 @@
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\def\largearray{\begin{array}{@{}>{\displaystyle}l@{}}\hphantom{\hspace{\largearray@width}}\\[-.5cm]}
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\def\endlargearray{\end{array}}
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%% qedsquare
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\def\qed{\penalty10000\hfill\penalty10000$\square$}
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