PubMed Health⌕ Search
Home/Archive/PubMed

PubMed · 15245264

Weighted evolving networks: coupling topology and weight dynamics.

Alain Barrat·Marc Barthélemy·Alessandro Vespignani
View original source ↗Export metadata ↓

Abstract

We propose a model for the growth of weighted networks that couples the establishment of new edges and vertices and the weights' dynamical evolution. The model is based on a simple weight-driven dynamics and generates networks exhibiting the statistical properties observed in several real-world systems. In particular, the model yields a nontrivial time evolution of vertices' properties and scale-free behavior for the weight, strength, and degree distributions.

Explore related subjects

EcologyMetabolismModels, BiologicalModels, TheoreticalJournal ArticleResearch Support, Non-U.S. Gov't

Keep this discovery

Explore connections, maps & timelines

BibTeXRIS

Alain Barrat, Marc Barthélemy, Alessandro Vespignani. 2004-06-04. Weighted evolving networks: coupling topology and weight dynamics.. https://doi.org/10.1103/physrevlett.92.228701

Cite the original work for its findings. Save a collection to share your selection of sources.

KEEP EXPLORING

Related citations

PubMed2007

An ecologic study of cancer mortality rates in Spain with respect to indices of solar UVB irradiance and smoking.

There is increasing evidence that vitamin D reduces the risk of many types of cancer. Geographic variations in cancer mortality rates in Spain are apparently linked to variations in solar ultraviolet (UV) irradiances and other factors. Cancer mortality rates for 48 continental Spanish provinces for 1978-1992 were used in linear regression analyses with respect to mortality rates for latitude (an index of solar UVB levels), skin cancer (an index of high cumulative UVB irradiance), melanoma (an index related to solar UV irradiance and several other factors) and lung cancer (an index of cumulative effects of smoking). The 9 cancers with mortality rates significantly correlated with latitude for 1 or both sexes were brain, gastric, melanoma, nonmelanoma skin cancer (NMSC), non-Hodgkin's lymphoma (NHL), pancreatic, pleural, rectal and thyroid cancer. Inverse correlations with latitude were found for laryngeal, lung and uterine corpus cancer. The 17 cancers inversely correlated with NMSC are bladder, brain, breast, colon, esophageal, gallbladder, Hodgkin's lymphoma, lung, melanoma, multiple myeloma, NHL, ovarian, pancreatic, pleural, rectal, thyroid and uterine corpus cancer. The 16 correlated with melanoma are bladder, brain, breast, colon, gallbladder, leukemia, lung, multiple myeloma, NHL, ovarian, pancreatic, pleural, prostate, rectal, renal and uterine corpus cancer. The results for lung cancer were in accordance with the literature. These results provide more support for the UVB/vitamin D/cancer hypothesis and indicate a new way to investigate the role of solar UV irradiance on cancer risk. They also provide more evidence that melanoma and NMSC have different etiologies.

Ecology↗
PubMed2007

Data storm.

Explore the source record for details and available documents.

Ecology↗