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Re: [igraph] Correlation between eigenvector (evcent) and vertex strengt

From: Hermann Norpois
Subject: Re: [igraph] Correlation between eigenvector (evcent) and vertex strength (graph.strength)
Date: Tue, 17 Dec 2013 23:54:11 +0100

I hope the information transfer works. This is my code. The data

IGRAPH UNW- 76251 1899525 --
+ attr: name (v/c), x (v/n), weight (e/n)
evc <- evcent (ch22.long.net)
ch22.long.deg <- graph.strength (ch22.long.net)
plot (ch22.long.deg)
plot (evc$vector)

2013/12/17 Hermann Norpois <address@hidden>

maybe I did not understand the concepts of graph.strenght and evcent but my guess was that the resultung vectors should be correlated in some way.
Using graph.strength (g) for an undirected weighted graph I get the strength of each vertex. The eigenvector of the adjacency matrix should reflect (somehow) the strengh of each vertex as well. But it doesnt (see attachment).

Can you please comment on this. Thanks

My example:
evc <- evcent (g)
ev <- evc$vector

ch22.long.deg <- graph.strength (g)

and plotted the results (see attachment).

Attachment: ev_deg.png
Description: PNG image

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