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Compression of transfer matrices
Umeå University, Faculty of Science and Technology, Department of mathematics.
2001 (English)In: Discrete Mathematics, ISSN 0012-365X, E-ISSN 1872-681X, Vol. 231, no 1-3, 321-329 p.Article in journal (Refereed) Published
Abstract [en]

We present a method for reducing the size of transfer matrices by exploiting symmetry. For example, the transfer matrix for enumeration of matchings in the graph C-4 x C-4 x P-n can be reduced from order 65536 to 402 simply due to the 384 automorphisms of C-4 x C-4. The matrix for enumeration of perfect matchings can be still further reduced to order 93, all in a straightforward and mechanical way. As an application we report an improved upper bound for the three-dimensional dimer problem. (C) 2001 Elsevier Science B.V. All rights reserved.

Place, publisher, year, edition, pages
2001. Vol. 231, no 1-3, 321-329 p.
National Category
Discrete Mathematics
Identifiers
URN: urn:nbn:se:umu:diva-107771DOI: 10.1016/S0012-365X(00)00329-0ISI: 000167835300030OAI: oai:DiVA.org:umu-107771DiVA: diva2:851489
Conference
British Combinatorial Conference, Liverpool, England
Available from: 2015-09-05 Created: 2015-08-28 Last updated: 2017-12-04Bibliographically approved

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Lundow, Per-Håkan

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