The triangular kagomé lattices revisited

Xiaoyun Liu and Weigen Yan

Physica A: Statistical Mechanics and its Applications, 2013, vol. 392, issue 22, 5615-5621

Abstract: The dimer problem, Ising spins and bond percolation on the triangular kagomé lattice have been studied extensively by physicists. In this paper, based on the fact the triangular kagomé lattice with toroidal boundary condition can be regarded as the line graph of 3.12.12 lattice with toroidal boundary condition, we derive the formulae of the number of spanning trees, the energy, and the Kirchhoff index of the triangular kagomé lattice with toroidal boundary condition.

Keywords: Triangular kagomé lattice; Hexagonal lattice; Spanning trees; Energy; Kirchhoff index (search for similar items in EconPapers)
Date: 2013
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Citations: View citations in EconPapers (3)

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Persistent link: https://EconPapers.repec.org/RePEc:eee:phsmap:v:392:y:2013:i:22:p:5615-5621

DOI: 10.1016/j.physa.2013.07.030

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