Description Usage Arguments Details Value Author(s) References See Also

Calculates the *s-core* decomposition of a network. This is analogous to
the *k-core* decomposition, but takes into account the *strength*
of vertices (i.e., in weighted networks). If an unweighted network is
supplied, then the output of the function `coreness`

is
returned.

1 |

`g` |
An |

`W` |
Numeric matrix of edge weights (default: |

The *s-core* consists of all vertices *i* with *s_i > s*, where
*s* is some threshold value. The *s_0* core is the entire network,
and the threshold value of the *s_{n}* core is

*s_{n-1} = min_i s_i*

for all vertices *i* in the *s_{n-1}* core.

Note that in networks with a wide distribution of vertex strengths, in which there are almost as many unique values as there are vertices, then several separate cores will have a single vertex. See the reference provided below.

Integer vector of the vertices' *s-core* membership

Christopher G. Watson, cgwatson@bu.edu

Eidsaa, M and Almaas, E. (2013) s-core network decomposition: a
generalization of k-core analysis to weighted networks. *Physical
Review E*, **88**, 062819.
https://dx.doi.org/10.1103/PhysRevE.88.062819

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