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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