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- M Rosvall, A Trusina, P Minnhagen, K Sneppen
- Physical review letters
- 2005

Traffic is constrained by the information involved in locating the receiver and the physical distance between sender and receiver. We here focus on the former, and investigate traffic in the perspective of information handling. We replot the road map of cities in terms of the information needed to locate specific addresses and create information city… (More)

- Ala Trusina, Sergei Maslov, Petter Minnhagen, Kim Sneppen
- Physical review letters
- 2004

Using each node's degree as a proxy for its importance, the topological hierarchy of a complex network is introduced and quantified. We propose a simple dynamical process used to construct networks which are either maximally or minimally hierarchical. Comparison with these extremal cases as well as with random scale-free networks allows us to better… (More)

The phase transition in the XY model on one-dimensional small-world networks is investigated by means of Monte Carlo simulations. It is found that long-range order is present at finite temperatures, even for very small values of the rewiring probability, suggesting a finite-temperature transition for any nonzero rewiring probability. Nature of the phase… (More)

- Beom Jun Kim, Ala Trusina, Petter Holme, Petter Minnhagen, Jean S Chung, M Y Choi
- Physical review. E, Statistical, nonlinear, and…
- 2002

A two-dimensional small-world-type network, subject to spatial prisoners' dilemma dynamics and containing an influential node defined as a special node, with a finite density of directed random links to the other nodes in the network, is numerically investigated. It is shown that the degree of cooperation does not remain at a steady state level but displays… (More)

- Seung Ki Baek, Sebastian Bernhardsson, Petter Minnhagen
- ArXiv
- 2010

Why does Zipf's law give a good description of data from seemingly completely unrelated phenomena? Here it is argued that the reason is that they can all be described as outcomes of a ubiquitous random group division: the elements can be citizens of a country and the groups family names, or the elements can be all the words making up a novel and the groups… (More)

- Petter Holme, Ala Trusina, Beom Jun Kim, Petter Minnhagen
- Physical review. E, Statistical, nonlinear, and…
- 2003

We study Nowak and May's spatial prisoners' dilemma game driven by mutations (random choices of suboptimal strategies) on empirical social networks. The time evolution of the cooperation level is highly complex containing spikes and steps between quasistable levels. A statistical characterization of the quasistable states and a study of the mechanisms… (More)

- M Rosvall, A Grönlund, P Minnhagen, K Sneppen
- Physical review. E, Statistical, nonlinear, and…
- 2005

We investigate the searchability of complex systems in terms of their interconnectedness. Associating searchability with the number and size of branch points along the paths between the nodes, we find that scale-free networks are relatively difficult to search, and thus that the abundance of scale-free networks in nature and society may reflect an attempt… (More)

- Petter Minnhagen, Sebastian Bernhardsson
- PloS one
- 2008

It is suggested that the degree distribution for networks of the cell-metabolism for simple organisms reflects a ubiquitous randomness. This implies that natural selection has exerted no or very little pressure on the network degree distribution during evolution. The corresponding random network, here termed the blind watchmaker network has a power-law… (More)

The gain of a player is the sum of the gain over his/her ties A CC encounter gives both players unity gain A D-D encounter gives both players zero gain A D-C encounter gives the cooperator zero gain and the defector the gain b, 1 < b < 2 * * * * * We use synchronous updating, i.e. loop over: 1. Calculation of individual gain. 2. Choice of Players follows… (More)

- Jaegon Um, Petter Minnhagen, Beom Jun Kim
- Chaos
- 2011

We explore the synchronization behavior in interdependent systems, where the one-dimensional (1D) network (the intranetwork coupling strength J(I)) is ferromagnetically intercoupled (the strength J) to the Watts-Strogatz (WS) small-world network (the intranetwork coupling strength J(II)). In the absence of the internetwork coupling (J=0), the former network… (More)