Research Article

Subgraph-Indexed Sequential Subdivision for Continuous Subgraph Matching on Dynamic Knowledge Graph

Table 1

Notations and meanings.

NotationsMeanings

(, , )A directed query multigraph with vertex set , edge set , and labeling function
(, , )A directed data multigraph with Vertex set , edge set , and labeling function
(, )A matching tree of with node set and edge set
(, , )A flow graph index of on vertex set , edge set , and labeling function
A flow graph index on the initial data graph
A flow graph index maintained by graph update stream
np:A query-data vertex pair with and
State (np)The state of node pair np, State (np)  CS (np) FS (np)
CS (np), FS (np)The candidate and following states of n
A subgraph isomorphic mapping of on
A partial subgraph isomorphic mapping ,
A set of subgraph isomorphic mappings s of on
A candidate set of ,
A candidate region of and adjacent to , ,