# Strength

#### Definition

Summing up the edge weights of the adjacent edges for each vertex.

A more significant measure of the network properties in terms of the actual weights is obtained by extending the definition of vertex degree k

A more significant measure of the network properties in terms of the actual weights is obtained by extending the definition of vertex degree k

_{i}= Σ_{j}a_{ij}in terms of the vertex strength s_{i}, defined as:#### Software

#### References

- CSARDI, G. & NEPUSZ, T. 2006. The igraph software package for complex network research. InterJournal, Complex Systems, 1695. [http://igraph.org]
- BARRAT, A., BARTHÉLEMY, M., PASTOR-SATORRAS, R. & VESPIGNANI, A. 2004. The architecture of complex weighted networks. Proceedings of the National Academy of Sciences of the United States of America, 101, 3747-3752. DOI: 10.1073/pnas.0400087101