centrality_katz

Katz (1953) status index: \(C = (I - \alpha A^T)^{-1} \mathbf{1}\).
Each node's score sums attenuated walks of every length back to it, with
attenuation \(\alpha\) applied per step. Rankings are identical to
Bonacich's alpha centrality with a uniform exogenous vector.

Provides tools for the analysis, visualization, and manipulation
of dynamical, social (Saqr et al. (2024) <doi:10.1007/978-3-031-54464-4_10>) and
complex networks (Saqr et al. (2025) <doi:10.1145/3706468.3706513>). The package
supports multiple network formats and offers flexible tools for heterogeneous,
multi-layer, and hierarchical network analysis with simple syntax and
extensive toolset.

Sonsoles López-Pernas

cograph

Analysis and Visualization of Complex Networks

Mohammed Saqr

centrality_katz function

<dl><dt>x</dt>
<dd>Network input (matrix, igraph, network, cograph_network, tna object).</dd>
<dt>katz_alpha</dt>
<dd>Attenuation factor. Must satisfy
\(\alpha &lt; 1 / \rho(A)\) where \(\rho(A)\) is the spectral radius.
Default 0.1 matches centiserve and NetworkX conventions.</dd>
<dt>...</dt>
<dd>Additional arguments passed to <code>centrality</code>.</dd></dl>

Arguments

Katz Centrality — centrality_katz

<dl>

<dt>x</dt>
<dd>Network input (matrix, igraph, network, cograph_network, tna object).</dd>


<dt>katz_alpha</dt>
<dd>Attenuation factor. Must satisfy
\(\alpha &lt; 1 / \rho(A)\) where \(\rho(A)\) is the spectral radius.
Default 0.1 matches centiserve and NetworkX conventions.</dd>


<dt>...</dt>
<dd>Additional arguments passed to <code>centrality</code>.</dd>

</dl>

centrality_katz: Katz Centrality

Description

Usage

Value

Arguments

Details

References

See Also

Examples