1.1.3.0 overlap

From a86962cbfd0321387c920a04188512d0de2f3036 Mon Sep 17 00:00:00 2001 From: KatolaZ Date: Mon, 19 Oct 2015 16:30:12 +0100 Subject: First commit of MAMMULT documentation --- doc/html/mammult_docsu15.html | 134 ++++++++++++++++++++++++++++++++++++++++++ 1 file changed, 134 insertions(+) create mode 100644 doc/html/mammult_docsu15.html (limited to 'doc/html/mammult_docsu15.html') diff --git a/doc/html/mammult_docsu15.html b/doc/html/mammult_docsu15.html new file mode 100644 index 0000000..e1d4712 --- /dev/null +++ b/doc/html/mammult_docsu15.html @@ -0,0 +1,134 @@ + + +1.1.3.0 overlap_degree.py + + + + + + + + +

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overlap_degree.py

NAME +

overlap_degree.py - compute the total (overlapping) degree of all the nodes +of a multiplex and the corresponding Z-score. +

SYNOPSYS +

overlap_degree.py <layer1> <layer2> [<layer3>...] +

DESCRIPTION +

Compute and print on output the total degree o_i of each node i of a +multiplex, defined as: +
+ $∑ ∑ [α] +oi = aij + α j + + + +$
+

and the corresponding Z-score: +
+ $oi − ⟨o⟩ +z(oi) = ---σ--- + o +$
+

where ⟨o⟩ and σ_o are, respectively, the mean and the standard deviation of the +total degree computed over all the active nodes of the multiplex. +

Each input file contains the (undirected) edge list of a layer, and each line is +in the format: +

src_ID dest_ID +

where src_ID and dest_ID are the IDs of the two endpoints of an +edge. +

OUTPUT +

The program prints on stdout a list of lines in the format: +

ID_n deg_n z_n +

where ID_n is the ID of the node, deg_n is its total degree, and z_n is the +corresponding Z-score. +

As usual, node IDs start from zero and proceed sequentially, without gaps, i.e., if +a node ID is not present in any of the layer files given as input, the program +considers it as being isolated on all the layers, and the node is omitted from the +output. +

REFERENCE +

F. Battiston, V. Nicosia, V. Latora, “Structural measures for multiplex +networks”, Phys. Rev. E 89, 032804 (2014). +

Link to paper: http://journals.aps.org/pre/abstract/10.1103/PhysRevE.89.032804 + + + +

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