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Table 1 Summary of metrics or scores

From: A seed-extended algorithm for detecting protein complexes based on density and modularity with topological structure and GO annotations

Symbol

Description

PPINs

Protein-protein interaction networks

G=(V,E)

Graph G with vertex set V, edge set E and W is weight matrix

N

Number of vertices in a graph

M

Number of edges in a graph

v

A vertex in V

(v,u)

Edge between vertices v and u in E

N(v)

N(v) stands for the set of all vertex v’neighbors

CN(v,u)

The weight of edge (v,u) according to common neighbors (CN) namely, Eq. (7)

GO(v,u)

The weight of edge (v,u) according to Gene Ontology (GO) namely, Eq.(8)

w(v,u)

The weight of edge (v,u) according to both CN(v,u) and GO(v,u), see Eq. (9)

dw(v)

The weight degree of vertex v

NGCC(v)

The Neighborhood Graph Clustering Coefficient of vertex v

Score(v)

The priority of vertex v is used as seed according to Eq. (12)

SG

A subgraph in Graph G

D(SG)

The density of subgraph (SG) according to Eq. (13)

M(SG)

The modularity of subgraph (SG) according to Eq. (16)

F(SG)

The fitness of subgraph (SG) according to Eq. (17)

Neighbor(SG)

The neighbor of the cluster SG

inner_nodes(SG)

The inner nodes in the cluster SG

weightavg(SG)

The average weighted interactions within the cluster SG according to Eq. (18)

  1. Neighbor(SG), the set includes the neighbor node connects to at least one edge with any protein of the cluster SG but not belongs to SG; inner_nodes(SG), the set includes the inner node belongs to the cluster SG, but it connects to at least one node which is the neighbor of SG;