ewc: Edge-Weighted Closeness
In ewc: Edge-Weighted Closeness
Description
Usage
Arguments
Details
Value
Author(s)
References
Examples
Description
Calculate edge-weighted closeness, a weighted version of closeness(sna).
Usage
1
ewc(vnetwork)
Arguments
vnetwork
A valued adjacency matrix. Must be weakly connected.
Details
The EWC is defined as:
EWC(i)=\frac{∑_{j}{\frac{llv(i,j)}{d(i,j)}}}{\max(lv)(n-1)},
where
llv(i,j) is the average last line value on the path from node i to node j,
d(i,j) is the distance from i to j and
\max(lv) is the maximum of all line values in vnetwork.
Value
A vector of length dim(vnetwork)[1] containing the EWC values.
Author(s)
Angela Bohn angela.bohn at gmail.com and Norbert Walchhofer
References
Angela Bohn, Norbert Walchhofer, Patrick Mair and Kurt Hornik.
Social Network Analysis of Weighted Telecommunications Graphs. 2009.
Research Report Series 84, Department of Statistics and Mathematics, Vienna University of Economics and Business.
Examples
1
2
ewc documentation built on May 2, 2019, 5:50 p.m.
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Description Usage Arguments Details Value Author(s) References Examples
Description
Calculate edge-weighted closeness, a weighted version of closeness(sna).
Usage
1 | ewc(vnetwork)
|
Arguments
vnetwork |
A valued adjacency matrix. Must be weakly connected. |
Details
The EWC is defined as:
EWC(i)=\frac{∑_{j}{\frac{llv(i,j)}{d(i,j)}}}{\max(lv)(n-1)},
where
llv(i,j) is the average last line value on the path from node i to node j,
d(i,j) is the distance from i to j and
\max(lv) is the maximum of all line values in vnetwork.
Value
A vector of length dim(vnetwork)[1] containing the EWC values.
Author(s)
Angela Bohn angela.bohn at gmail.com and Norbert Walchhofer
References
Angela Bohn, Norbert Walchhofer, Patrick Mair and Kurt Hornik. Social Network Analysis of Weighted Telecommunications Graphs. 2009. Research Report Series 84, Department of Statistics and Mathematics, Vienna University of Economics and Business.
Examples
1 2 |
R Package Documentation
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