The triangular kagomé lattices revisited

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.

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Year of publication:	2013
Authors:	Liu, Xiaoyun ; Yan, Weigen
Published in:	Physica A: Statistical Mechanics and its Applications. - Elsevier, ISSN 0378-4371. - Vol. 392.2013, 22, p. 5615-5621
Publisher:	Elsevier
Subject:	Triangular kagomé lattice \| Hexagonal lattice \| Spanning trees \| Energy \| Kirchhoff index

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Type of publication:	Article
Source:	RePEc - Research Papers in Economics

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