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Table 1 Symbols and meanings

From: Advancing community detection using Keyword Attribute Search

Symbol

Meaning

G(V, E)

An undirected graph with set of vertices V and set of edges E

\(\lambda\)

A set of attributes for set of vertices V

q

keyword or query to be searched on attributed graph G

\(deg_{G}(V)\)

The degree of vertex V in G

L(X(q))

The length of the set of attribute X for vertex q

\(G[S']\)

The largest connected subgraph of G such that \(q \in G[S']\), and \(S \subset X(v)\)

Sim(q1, q2)

Jaccard Similarity Index to measure similarity between q1 and q2

\(\theta _{c}\)

Minimum threshold constant for similarity between q1 and q2

\(\theta _{w}\)

Minimum threshold constant for average weight of the attributes shared between q1 and q2

\(\theta _{d}\)

Maximum threshold constant for geodesic distance between q1 and q2

\(W_{v}\)

Minimum threshold constant for Node-weight on attribute type-value pairs

\(W_{e}\)

Minimum threshold constant for Edge-weight on attribute type-value pairs

GD(q1, q2)

Shortest path length or geodesic distance between q1 and q2