#### Filter Results:

- Full text PDF available (13)

#### Publication Year

2001

2018

- This year (1)
- Last 5 years (9)
- Last 10 years (15)

#### Publication Type

#### Co-author

#### Journals and Conferences

Learn More

We describe several computational validations of the asymptotic matching conjectures for r-regular bipartite graphs. These validations are based on algorithms for computation of d-dimensional… (More)

- Per Håkan Lundow
- Discrete Mathematics
- 2001

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 C4 × C4 × Pn can be reduced from… (More)

In this paper we review the asymptotic matching conjectures for rregular bipartite graphs, and their connections in estimating the monomerdimer entropies in d-dimensional integer lattice and Bethe… (More)

- Per Håkan Lundow, Klas Markström
- Physical review. E, Statistical, nonlinear, and…
- 2009

In this paper we investigate the nature of the singularity of the Ising model of the four-dimensional cubic lattice. It is rigorously known that the specific heat has critical exponent alpha=0 but a… (More)

- Roland Häggkvist, Anders Rosengren, Daniel Andrén, Petras J. Kundrotas, Per Håkan Lundow, Klas Markström
- Physical review. E, Statistical, nonlinear, and…
- 2004

An improved method for obtaining the Ising partition function of n x n square grids with periodic boundary is presented. Our method applies results from Galois theory in order to split the… (More)

- Shmuel Friedland, Per Håkan Lundow, Klas Markström
- IEEE Transactions on Information Theory
- 2010

The notion of a 1-vertex transfer matrix for multidimensional codes is introduced. It is shown that the capacity of such codes, or the topological entropy, can be expressed as the limit of the… (More)

- Per Håkan Lundow
- 2012

The number of 1-factors in the 6-cube is 16 332 454 526 976. This was computed with the traditional permanent and also with a transfer matrix approach, associated with polygraphs. For polygraphs of… (More)

- Per Håkan Lundow, Klas Markström
- Experimental Mathematics
- 2006

In a paper from 1912 aimed at proving the four-color theorem, G. D. Birkhoff [Birkhoff 12] introduced a function P (G, x), defined for all positive integers x to be the number of proper x-colorings… (More)

- Per Håkan Lundow, Ian A Campbell
- Physical review. E, Statistical, nonlinear, and…
- 2012

The Fortuin-Kasteleyn and heat-bath damage-spreading temperatures T(FK)(p) and T(DS)(p) are studied on random-bond Ising models of dimensions 2-5 and as functions of the ferromagnetic interaction… (More)

- Per Håkan Lundow, Ian A Campbell
- Physical review. E
- 2016

Ising spin glasses with bimodal and Gaussian near-neighbor interaction distributions are studied through numerical simulations. The non-self-averaging (normalized intersample variance) parameter… (More)