Description Details Author(s) Examples

A set of functions for studying network robustness, resilience and vulnerability.

The main goal of the 'NetSwan' library is to provide a set of functions to study vulnerability, resilience and robustness of graphs. It depends on 'igraph' package. 'Igraph' graphs have a class used in 'NetSwan'.

Serge Lhomme

Maintainer: Serge Lhomme <[email protected]>

1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 | ```
library(igraph)
library(NetSwan)
elec <- matrix(nc=2, byrow=TRUE, c(11,1, 11,10, 1,2, 2,3, 2,9,
3,4, 3,8, 4,5, 5,6, 5,7, 6,7, 7,8, 8,9, 9,10))
gra<-graph.edgelist(elec, directed=FALSE)
f<-swan_efficiency(gra)
vertex_attr(gra, "efficiency_loss", index = V(gra))<-f
vertex_attr(gra)
f2<-swan_closeness(gra)
bet<-betweenness(gra)
reg<-lm(bet~f2)
summary(reg)
f3<-swan_connectivity(gra)
f4<-swan_combinatory(gra,10)
plot(f4[,1],f4[,5], type='o', col='yellow',xlab="Fraction of nodes removed",
ylab="Connectivity loss")
lines(f4[,1],f4[,3], type='o', col='red')
lines(f4[,1],f4[,4], type='o', col='orange')
lines(f4[,1],f4[,2], type='o', col='blue')
legend('bottomright',c("Random", "Betweenness", "Degree", "Cascading"),
lty=c(1,1,1,1), pch=c(1,1,1,1),
col=c("yellow","blue","red", "orange"))
``` |

```
Loading required package: igraph
Attaching package: 'igraph'
The following objects are masked from 'package:stats':
decompose, spectrum
The following object is masked from 'package:base':
union
$efficiency_loss
[1] 6 28 26 6 6 0 20 36 34 8 2
Call:
lm(formula = bet ~ f2)
Residuals:
Min 1Q Median 3Q Max
-1.6235 -0.3692 0.1222 0.4552 1.2889
Coefficients:
Estimate Std. Error t value Pr(>|t|)
(Intercept) -0.2541 0.4486 -0.566 0.585
f2 -6.0531 0.3058 -19.791 9.96e-09 ***
---
Signif. codes: 0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
Residual standard error: 0.836 on 9 degrees of freedom
Multiple R-squared: 0.9775, Adjusted R-squared: 0.975
F-statistic: 391.7 on 1 and 9 DF, p-value: 9.959e-09
```

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