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Table 5 Notations and symbols

From: An optimized approach for community detection and ranking

Notation

Definition and description

G

Given graph

N, n

Set of nodes, node

L, l

Set of links, link

C, c

Set of community, community

\(\eta\)

Number of nodes in each C

\(R_{c}\)

Rank of community c

\(\gamma\)

Number of edges between two C

\(e_{b}\)

Designated edges between two C

\(n_{s}^e \;{\rm and}\; n_{t}^e\)

Nodes on the side of an edge

S

Similarity value

s, e

Start and end node

m, x

Mutual, exclusive neighbor

\(\varUpsilon\)

Neighboring set