Inside the Voynich Network: graph analysis

[quimqu]

Does your method allow to find and show some concrete examples of such regularity?

Hi Rafal,

here are the highest weighted subgraphs (or frequent token sets) (jus showing the top 15 members each):

Community 0: ['chdaiin', 'chdal', 'chdam', 'qokam', 'okody', 'opar', 'okair', 'okeeol', 'olkey', 'chs', 'qokeeey', 'qokshedy', 'pchedy', 'qotchedy', 'qokair']
Community 1: ['dcheey', 'keeey', 'opaiin', 'qopchey', 'keeody', 'qoteody', 'chotaiin', 'shedaiin', 'ched', 'qopchedy', 'opchdy', 'kal', 'keey', 'otey', 'pcheol']
Community 2: ['oram', 'shod', 'olkam', 'yshey', 'aral', 'oaiin', 'okshy', 'daim', 'otair', 'araiin', 'qoeedy', 'olkaiin', 'chekaiin', 'oraiin', 'kain']
Community 3: ['okary', 'opal', 'chain', 'chkain', 'chedal', 'okees', 'otody', 'ykar', 'ytchey', 'otchedy', 'tshedy', 'ytar', 'ytor', 'odar', 'cthey']
Community 4: ['do', 'ykol', 'chockhy', 'teody', 'ctheol', 'okeol', 'aldy', 'dary', 'okeos', 'ykeody', 'dl', 'ral', 'chky', 'sh', 'sheos']
Community 5: ['chom', 'tchor', 'cphol', 'teol', 'cthody', 'oees', 'kchor', 'sheod', 'ky', 'ty', 'dan', 'shocthy', 'qoteol', 'shee', 'sy']
Community 6: ['oteeos', 'yteody', 'oain', 'sam', 'shes', 'oteody', 'oteos', 'shodaiin', 'kair', 'qokeeo', 'shar', 'shedal', 'tal', 'rol', 'cheal']
Community 7: ['cheeody', 'qokeeody', 'qokeody', 'laiin', 'okeeody', 'qody', 'shdar', 'qockhey', 'doiin', 'oldy', 'qockhy', 'pchedar', 'sheody', 'qokchey', 'ockhy']

The following are hubs with very strong neighbors:

otchol → ['chom', 'cphol', 'ctho', 'cthol', 'dchey', 'qopchy']
shodaiin → ['ctho', 'qokcho', 'qokor', 'rol', 'sam', 'yteody']
kchy → ['dchol', 'dchy', 'otchy', 'qotchol', 'ykchy', 'ytol']
chaiin → ['chan', 'kchey', 'qotchol', 'shaiin', 'ykain']
sam → ['oain', 'shes', 'shodaiin', 'yteody']
do → ['chky', 'qotor', 'sh', 'ykol']
chdaiin → ['chdal', 'ckhy', 'qokchdy', 'ykar']
cthody → ['ctho', 'oees', 'qokchol', 'teol']
araiin → ['lkaiin', 'olkaiin', 'opchedy', 'qoeedy']
chan → ['chaiin', 'char', 'cthor', 'tchor']
oteody → ['oar', 'oteos', 'ykeeody', 'ykeody']
shaiin → ['chaiin', 'cthar', 'cthy', 'soiin']
kchol → ['choky', 'ctheey', 'otchor', 'ytchy']
otody → ['okees', 'okody', 'otchdy', 'qokair']
tchey → ['shes', 'shky', 'tal', 'yty']
otchedy → ['odar', 'sheos', 'tshedy', 'ytchedy']
odar → ['cheodaiin', 'okees', 'olkaiin', 'otchedy']
ary → ['cham', 'okees', 'otair', 'sal']

There are very few triades (triangles in the graph) and no cliques (more than 3 tokens). They are strong, cohesive triads. NPMI values 1.244, 1.000, 0.976 indicate frequent, above-chance co-occurrence.

1.244 ('sam', 'shodaiin', 'yteody')
1.000 ('chom', 'cthol', 'otchol')
0.976 ('ldy', 'qopchdy', 'shear')