# Statistical mechanics of complex networks

@article{Albert2001StatisticalMO, title={Statistical mechanics of complex networks}, author={R. Albert and Albert-L{\'a}szl{\'o} Barab{\'a}si}, journal={ArXiv}, year={2001}, volume={cond-mat/0106096} }

The emergence of order in natural systems is a constant source of inspiration for both physical and biological sciences. While the spatial order characterizing for example the crystals has been the basis of many advances in contemporary physics, most complex systems in nature do not offer such high degree of order. Many of these systems form complex networks whose nodes are the elements of the system and edges represent the interactions between them.
Traditionally complex networks have been… CONTINUE READING

#### Figures, Tables, and Topics from this paper

#### Figures and Tables

figure 1 figure 10 figure 11 figure 12 figure 13 figure 14 figure 15 figure 16 figure 17 figure 18 figure 19 figure 2 figure 20 figure 21 figure 22 figure 23 figure 24 figure 25 figure 26 figure 27 figure 28 figure 29 figure 3 figure 30 figure 31 figure 32 figure 33 figure 34 figure 35 figure 4 figure 5 figure 6 figure 7 figure 8 figure 9 table I table II table III

#### Paper Mentions

16,567 Citations

Scale-free networks as entropy competition.

- Mathematics, Medicine
- Physical review. E, Statistical, nonlinear, and soft matter physics
- 2008

4

Hierarchy in directed random networks: analytical and numerical results

- Computer Science, Physics
- Physical review. E, Statistical, nonlinear, and soft matter physics
- 2013

7- PDF

Exploring biological network structure with clustered random networks

- Computer Science, Medicine
- BMC Bioinformatics
- 2009

98- PDF

Theory of Random Networks and Their Role in Communications Networks

- Computer Science
- Web Dynamics
- 2004

1

#### References

SHOWING 1-10 OF 371 REFERENCES

Spectra of "real-world" graphs: beyond the semicircle law.

- Mathematics, Medicine
- Physical review. E, Statistical, nonlinear, and soft matter physics
- 2001

416- PDF

Random networks created by biological evolution.

- Mathematics, Physics
- Physical review. E, Statistical physics, plasmas, fluids, and related interdisciplinary topics
- 2000

16- PDF

A model for the emergence of cooperation, interdependence, and structure in evolving networks.

- Physics, Medicine
- Proceedings of the National Academy of Sciences of the United States of America
- 2001

189- PDF

Collective dynamics of ‘small-world’ networks

- Computer Science, Medicine
- Nature
- 1998

33,000 Highly Influential- PDF

Emergence of scaling in random networks

- Computer Science, Medicine
- Science
- 1999

28,262 Highly Influential- PDF

Random graphs with arbitrary degree distributions and their applications.

- Mathematics, Physics
- Physical review. E, Statistical, nonlinear, and soft matter physics
- 2001

3,139- PDF

Organization of growing random networks.

- Mathematics, Medicine
- Physical review. E, Statistical, nonlinear, and soft matter physics
- 2001

670- PDF