Phys. Rev. Lett. 100, 120602 (2008) [4 pages]Exact Entropy of Dimer Coverings for a Class of Lattices in Three or More DimensionsReceived 14 December 2007; published 27 March 2008 We construct a class of lattices in three and higher dimensions for which the number of dimer coverings can be determined exactly using elementary arguments. These lattices are a generalization of the two-dimensional kagome lattice, and the method also works for graphs without translational symmetry. The partition function for dimer coverings on these lattices can be determined also for a class of assignments of different activities to different edges. © 2008 The American Physical Society URL:
http://link.aps.org/doi/10.1103/PhysRevLett.100.120602
DOI:
10.1103/PhysRevLett.100.120602
PACS:
05.20.−y, 05.50.+q
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