Hi Tamás! Thanks for your reply. It seems like that I can intensify the 
tension. :) I was thinking that there is no way that the subgraph of cluster 
293815 is the only star schemed subgraph so I tried to find an other one. And I 
found more than one. I examined the cluster nr 293812 and it looks like the 
same as the nr 293815 but here I can calculate the authority score. > 
g_sub[293815]
$`293815`
IGRAPH U-W- 4 3 -- 
+ attr: weight (e/n)
+ edges:
[1] 1--2 1--3 1--4 > g_sub[293812]
$`293812`
IGRAPH U-W- 4 3 -- 
+ attr: weight (e/n)
+ edges:
[1] 1--4 2--4 3--4 > E(g_sub[[293815]])$weight
[1]  270 5677 3032
> E(g_sub[[293812]])$weight
[1] 3696 1206  642 > m15 = as.matrix(get.adjacency(g_sub[[293815]], 
attr="weight"))
> m12 = as.matrix(get.adjacency(g_sub[[293812]], attr="weight")) > m15
     [,1] [,2] [,3] [,4]
[1,]    0  270 5677 3032
[2,]  270    0    0    0
[3,] 5677    0    0    0
[4,] 3032    0    0    0 > m12
     [,1] [,2] [,3] [,4]
[1,]    0    0    0 3696
[2,]    0    0    0 1206
[3,]    0    0    0  642
[4,] 3696 1206  642    0 > eigen(m15 %*% t(m15))$vector
     [,1]        [,2]        [,3]       [,4]
[1,]    1  0.00000000  0.00000000  0.0000000
[2,]    0 -0.04191503  0.99912118  0.0000000
[3,]    0 -0.88130233 -0.03697231 -0.4711043
[4,]    0 -0.47069027 -0.01974635  0.8820775 > eigen(m12 %*% t(m12))$vector
     [,1]      [,2]       [,3]       [,4]
[1,]    0 0.9379679  0.3467222  0.0000000
[2,]    0 0.3060577 -0.8279605 -0.4699043
[3,]    0 0.1629262 -0.4407551  0.8827174
[4,]    1 0.0000000  0.0000000  0.0000000 > eigen(m15 %*% t(m15))$value
[1] 4.149425e+07 4.149425e+07 7.450581e-09 1.862645e-09 > eigen(m12 %*% 
t(m12))$value
[1] 1.552702e+07 1.552702e+07 1.303852e-08 0.000000e+00 > 
authority_score(g_sub[[293815]])$vector
Error in .Call("R_igraph_authority_score", graph, scale, weights, options,  : 
  At arpack.c:944 : ARPACK error, No shifts could be applied during a cycle of 
the Implicitly restarted Arnoldi iteration. One possibility is to increase the 
size of NCV relative to NEV > authority_score(g_sub[[293812]])$vector
[1] 0.43989186 0.14353614 0.07640979 1.00000000 So the two graph have the same 
structure and both of them have dominant eigenvalues with multiplicity 2, but 
the authority score fails on the first one (g_sub[293815]) but succeed on the 
second one (g_sub[2938152). I don't get it. Am I missing something? Another 
thing: can be installing arpack-ng a solution for the arpack 
fails?https://github.com/pv/arpack-ng Best regards,Adam Sohonyai
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