Network data collection
Each network is available in three different formats: .mat
, .cvs
, and .txt
.
.mat
file contains at least three variables:- A is a sparse n-by-n adjacency matrix, where n is the number of nodes (vertices). If a network is undirected and unweighted, then A is symmetric, A(i,j)=1 if there is a link (edge) between nodes i and j, and A(i,j)=0 otherwise. If a network is directed, then A is not necessarily symmetric and A(i,j)=1 if there is a link from i to j (and zero otherwise). If a network is weighted, then A(i,j) is the weight of the link from i to j (a zero weight means no link).
- E is an edge list. If a network is undirected and unweighted, then E is m-by-2, where m is the number of links and a row [i,j] represents a link between nodes i and j. If a network is directed, then a row [i,j] represents a link from i to j. If a network is weighted, then E is m-by-3, where the 3rd column contains weights.
- G is a MATLAB graph object representing the network.
.cvs
and.txt
files contain an edge list, which is the same as E above.
-
Path: Critical-Infrastructure-Networks/power-grids/us-western-states/
-
Description: An undirected, unweighted network representing the topology of the Western States Power Grid of the United States. Nodes represent transformers, substations, and generators. Links represent high-voltage transmission lines.
-
Remark: The transmission lines can be directed and weighted (where weight describe their capacity), but this information is not available.
-
Data: Adjacency matrix A, edge list E, and MATLAB graph object G, as described in Data Format.
-
Data Source: Originally compiled by D. Watts and S. Strogatz and used in D.J. Watts and S.H. Strogatz (1998) "Collective dynamics of “small-world” networks," Nature 393, 440-442. Availalbe online at: https://toreopsahl.com/datasets/#uspowergrid
-
Basic Network Properties
Property | Value |
---|---|
Number of nodes | 4941 |
Number of links | 6594 |
Density | 5.403e-04 |
Maximum degree | 19 |
Average degree | 2.669 |
Average clustering coefficient | 0.106 |
Number of connected components | 1 |
Diameter | 46 |
Average shortest path length | 18.989 |
-
Path: Critical-Infrastructure-Networks/power-grids/north-american/
-
Description: An undirected, unweighted network representing the topology and geography of the North American Power Grid. Nodes represent transformers, substations, and generators. Links represent high-voltage transmission lines.
-
Data: In addition to the adjacency matrix A, edge list E, and MATLAB graph object G (see Data Format), file
powergridNA.mat
contains an n-by-3 matrix V describing the geographical coordinates of network nodes: V(i,1)=i is the node ID, V(i,2) is the latitude of node i, and V(i,3) is its longitude. FilespowergridNA_E
andpowergridNA_V
contain E and V in both.cvs
and.txt
formats. -
Data Source: The network was extracted on March 14, 2016 uing GridKit, a power grid extraction toolkit.
-
Basic Network Properties
Property | Value |
---|---|
Number of nodes | 14990 |
Number of links | 18804 |
Density | 1.674e-04 |
Maximum degree | 22 |
Average degree | 2.509 |
Average clustering coefficient | 0.103 |
Number of connected components | 1 |
Diameter | 138 |
Average shortest path length | 47.504 |
-
Path: Critical-Infrastructure-Networks/power-grids/european/
-
Description: An undirected, unweighted network representing the topology and geography of the European Power Grid. Nodes represent transformers, substations, and generators. Links represent high-voltage transmission lines.
-
Data: In addition to the adjacency matrix A, edge list E, and MATLAB graph object G (see Data Format), file
powergridEU.mat
contains an n-by-3 matrix V describing the geographical coordinates of network nodes: V(i,1)=i is the node ID, V(i,2) is the latitude of node i, and V(i,3) is its longitude. FilespowergridEU_E
andpowergridEU_V
contain E and V in both.cvs
and.txt
formats. -
Data Source: The network was extracted on March 14, 2016 uing GridKit, a power grid extraction toolkit.
-
Basic Network Properties
Property | Value |
---|---|
Number of nodes | 13478 |
Number of links | 16922 |
Density | 1.8632e-04 |
Maximum degree | 16 |
Average degree | 2.511 |
Average clustering coefficient | 0.111 |
Number of connected components | 1 |
Diameter | 147 |
Average shortest path length | 49.505 |
If you find this network data collection useful in your work, I encourage you to cite the repository. You can use the following BibTeX citation:
@misc{KZ_CIN_2017_583631,
author = {Konstantin M. Zuev},
title = {Kostia-Zuev/Critical-Infrastructure-Networks v1.3},
month = may,
year = 2017,
doi = {10.5281/zenodo.583631},
url = {https://doi.org/10.5281/zenodo.583631}
}