Measures of network topological features
graph_core(object, membership = NULL)
graph_factions(object, membership = NULL)
graph_modularity(object, membership = NULL, resolution = 1)
graph_smallworld(object, times = 100)
graph_balance(object)
{signnet}
by David Schoch
An object of a migraph-consistent class:
matrix (adjacency or incidence) from {base}
R
edgelist, a data frame from {base}
R or tibble from {tibble}
igraph, from the {igraph}
package
network, from the {network}
package
tbl_graph, from the {tidygraph}
package
A vector of partition membership.
A proportion indicating the resolution scale. By default 1.
Integer of number of simulations.
graph_core
: Returns correlation between a given network
and a core-periphery model with the same dimensions.
graph_factions
: Returns correlation between a given network
and a component model with the same dimensions.
graph_modularity
: Returns modularity of one- or two-mode networks
based on nodes' membership in pre-defined clusters.
graph_smallworld
: Returns small-world metrics for one- and
two-mode networks.
Small-world networks can be highly clustered and yet
have short path lengths.
graph_balance
: Returns the structural balance index on
the proportion of balanced triangles,
ranging between 0
if all triangles are imbalanced and
1
if all triangles are balanced.
Borgatti, Stephen P., and Martin G. Everett. 2000. “Models of Core/Periphery Structures.” Social Networks 21(4):375–95. https://doi.org/10.1016/S0378-8733(99)00019-2
Murata, Tsuyoshi. 2010. Modularity for Bipartite Networks. In: Memon, N., Xu, J., Hicks, D., Chen, H. (eds) Data Mining for Social Network Data. Annals of Information Systems, V1ol 12. Springer, Boston, MA. doi:10.1007/978-1-4419-6287-4_7
Watts, Duncan J., and Steven H. Strogatz. 1998. “Collective Dynamics of ‘Small-World’ Networks.” Nature 393(6684):440–42. doi:10.1038/30918 .
graph_transitivity()
and graph_equivalency()
for how clustering is calculated
Other measures:
centralisation
,
centrality
,
closure
,
cohesion()
,
diversity
,
holes
graph_core(ison_adolescents)
#> [1] 0.164
graph_core(ison_southern_women)
#> [1] -0.299
graph_factions(ison_adolescents)
#> [1] 0.174
graph_factions(ison_southern_women)
#> [1] 0.485
graph_modularity(ison_adolescents,
node_kernighanlin(ison_adolescents))
#> [1] -0.205
graph_modularity(ison_southern_women,
node_kernighanlin(ison_southern_women))
#> [1] -0.458
graph_smallworld(ison_brandes)
#> [1] 0
graph_smallworld(ison_southern_women)
#> [1] 1.32
graph_balance(ison_marvel_relationships)
#> [1] 0.668