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10 papers · 1 filter
Onion structure and network robustness
Zhi-Xi Wu, Petter Holme
In a recent work [Proc. Natl. Acad. Sci. USA 108, 3838 (2011)], Schneider et al. proposed a new measure for network robustness and investigated optimal networks with respect to thi…
Critical temperatures of the three- and four-state Potts models on the kagome lattice
Seung Ki Baek, Harri Mäkelä, Petter Minnhagen +1
The value of the internal energy per spin is independent of the strip width for a certain class of spin systems on two dimensional infinite strips. It is verified that the Ising mo…
Random Latin square graphs
Demetres Christofides, Klas Markström
In this paper we introduce new models of random graphs, arising from Latin squares which include random Cayley graphs as a special case. We investigate some properties of these gra…
Atmospheric reaction systems as null-models to identify structural traces of evolution in metabolism
Petter Holme, Mikael Huss, Sang Hoon Lee
The metabolism is the motor behind the biological complexity of an organism. One problem of characterizing its large-scale structure is that it is hard to know what to compare it t…
Stratified Monte Carlo quadrature for continuous random fields
Konrad Abramowicz, Oleg Seleznjev
We consider the problem of numerical approximation of integrals of random fields over a unit hypercube. We use a stratified Monte Carlo quadrature and measure the approximation per…
Bounds of percolation thresholds in the enhanced binary tree
Seung Ki Baek, Petter Minnhagen
By studying its subgraphs, it is argued that the lower critical percolation threshold of the enhanced binary tree (EBT) is bounded as , while the upper threshold…