Incremental Graph Pattern Matching Algorithm for Big Graph Data

Algorithm 1

iDeltaP_IncGPM for edge deletions.

(1) ; ;

(2) for each deleted edge   do

(3)  ;

(4)   and all ancestor nodes of ;

(5)  sort according to the inverse topological of ;

(6) for each node in   do

(7)  if   then

(8)   for each   do

(9)    check if keeps the child relationship of ;

(10)    if keeps the child relationship of   then

(11)     ; ;

(12)     ;

(13)  else

(14)   for each   do

(15)    if there exist which is a child of such that (, )∈, then

(16)    check if keeps the child relationship of ;

(17)    if keeps the child relationship of   then

(18)      ;

(19)     ;

(20)     ;

(21) repeatly filter according to the parent and child relationships of nodes in the

   subgraph constructed by to get added and updated and ;