1.1.4.0 avg_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_docsu21.html | 125 ++++++++++++++++++++++++++++++++++++++++++ 1 file changed, 125 insertions(+) create mode 100644 doc/html/mammult_docsu21.html (limited to 'doc/html/mammult_docsu21.html') diff --git a/doc/html/mammult_docsu21.html b/doc/html/mammult_docsu21.html new file mode 100644 index 0000000..87045b2 --- /dev/null +++ b/doc/html/mammult_docsu21.html @@ -0,0 +1,125 @@ + + +1.1.4.0 avg_edge_overlap.py + + + + + + + + +

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avg_edge_overlap.py

NAME +

avg_edge_overlap.py - compute the average edge overlap of a multiplex. +

SYNOPSYS +

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

DESCRIPTION +

Compute and print on output the average edge overlap +
+ $∑ ∑ ∑ [α] + ∗ ∑--∑-i--j>i---αaij---- +ω = i j>i(1− δ ∑ [α]) + 0, α aij +$
+

i.e., the expected number of layers on which an edge of the multiplex exists, and +the corresponding normalised quantity: +
+ $∑ ∑ ∑ a[α] +ω = ---∑--∑i--j>i--α--ij----- + M i j>i(1− δ0,∑α a[iαj] ) +$
+

that is the expected fraction of layers on which an edge of the multiplex is +present. +

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 single line, in the format: +

omega_star omega +

where omega_star and omega are, respectively, the expected number and fraction +of layers in which an edge is present. +

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 +

L. Lacasa, V. Nicosia, V. Latora, “Network structure of multivariate time +series”, accepted for publication in Scientific Reports, arxiv:1408.0925 +(2015). +

Link to paper: http://arxiv.org/abs/1408.0925 + + + +

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+ -- cgit v1.2.3