EXERCISE 8.5. Consider the planar lattice shown in the accompanying figure. (a) Construct a mixed directed graph

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EXERCISE 8.5. Consider the planar lattice shown in the accompanying figure.

(a) Construct a mixed directed graph for this lattice and construct the associated antisymmetric matrix, Am.

(b) Compute the partition function from this antisymmetric matrix, Am

(c) Draw the mixed dimer graphs for this lattice and write an analytic expression for the partition function.

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