177 research outputs found
Unevenness of Loop Location in Complex Networks
The loop structure plays an important role in many aspects of complex
networks and attracts much attention. Among the previous works, Bianconi et al
find that real networks often have fewer short loops as compared to random
models. In this paper, we focus on the uneven location of loops which makes
some parts of the network rich while some other parts sparse in loops. We
propose a node removing process to analyze the unevenness and find rich loop
cores can exist in many real networks such as neural networks and food web
networks. Finally, an index is presented to quantify the unevenness of loop
location in complex networks.Comment: 7 pages, 6 figure
Phase transitions in Ising model induced by weight redistribution on weighted regular networks
In order to investigate the role of the weight in weighted networks, the
collective behavior of the Ising system on weighted regular networks is studied
by numerical simulation. In our model, the coupling strength between spins is
inversely proportional to the corresponding weighted shortest distance.
Disordering link weights can effectively affect the process of phase transition
even though the underlying binary topological structure remains unchanged.
Specifically, based on regular networks with homogeneous weights initially,
randomly disordering link weights will change the critical temperature of phase
transition. The results suggest that the redistribution of link weights may
provide an additional approach to optimize the dynamical behaviors of the
system.Comment: 6 pages, 5 figure
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