1.1.4.0 edge_overlap.py

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_docsu20.html | 115 ++++++++++++++++++++++++++++++++++++++++++ 1 file changed, 115 insertions(+) create mode 100644 doc/html/mammult_docsu20.html (limited to 'doc/html/mammult_docsu20.html') diff --git a/doc/html/mammult_docsu20.html b/doc/html/mammult_docsu20.html new file mode 100644 index 0000000..02f16da --- /dev/null +++ b/doc/html/mammult_docsu20.html @@ -0,0 +1,115 @@ + + +1.1.4.0 edge_overlap.py + + + + + + + + +

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edge_overlap.py

NAME +

edge_overlap.py - compute the edge overlap of all the edges of the +multiplex. +

SYNOPSYS +

edge_overlap.py <layer1> [<layer2>...] +

DESCRIPTION +

Compute and print on output the edge overlap o_ij of each edge of the +multiplex. Given a pair of nodes (i,j) that are directly connected on at least one +of the M layers, the edge overlap o_ij is defined as: +
+ $∑ [α] +oij = aij + α + + + +$
+

i.e., the number of layers on which the edge (i,j) exists. +

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_1 ID_2 overlap +

where ID_1 and ID_2 are the IDs of the end-points of the edge, and overlap is +the number of layers in which the edge exists. +

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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