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Table 1. 
Notation in this study
NotationDescription
ai The number of publications in category i 
cik The number of references from publications in category i that cited publications in category k 
rjik The number of the shortest paths from categories j to k that pass through category i 
rjk The number of shortest paths between categories j and k 
pik The proportion of references from publications in category i that cited publications in category k. This can be expressed as pik = cik/∑jcij 
qik The proportion of references from a publication in category i that cited publications in category k. qik is measured at the individual publication level 
Pi The proportion of publications in category i over the total number of publications of all SCs. This can be expressed as Pi = ai/∑jaj 
sij The similarity between categories i and j 
cjki For publications in SC i, the number of citation links between their cited references in categories j and k 
n The number of SCs that the references of the publications in SC i belong to 
NotationDescription
ai The number of publications in category i 
cik The number of references from publications in category i that cited publications in category k 
rjik The number of the shortest paths from categories j to k that pass through category i 
rjk The number of shortest paths between categories j and k 
pik The proportion of references from publications in category i that cited publications in category k. This can be expressed as pik = cik/∑jcij 
qik The proportion of references from a publication in category i that cited publications in category k. qik is measured at the individual publication level 
Pi The proportion of publications in category i over the total number of publications of all SCs. This can be expressed as Pi = ai/∑jaj 
sij The similarity between categories i and j 
cjki For publications in SC i, the number of citation links between their cited references in categories j and k 
n The number of SCs that the references of the publications in SC i belong to 
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