edit distance;
graph matching;
maximum common subgraph;
median graph;
clustering;
D O I:
10.1016/S0167-8655(99)00143-9
中图分类号:
TP18 [人工智能理论];
学科分类号:
081104 ;
0812 ;
0835 ;
1405 ;
摘要:
A mean of a pair of graphs, g(1) and g(2), is formally defined as a graph that minimizes the sum of edit distances to g(1) and g(2). The edit distance of two graphs g and g' is the minimum cost taken over all sequences of edit operations that transform g into g'. It will be shown that under a particular set of cost functions for any two graphs, g and g', a maximum common subgraph is a mean. Moreover, any subgraph of g or g' that contains a maximum common subgraph is a mean as well. (C) 2000 Elsevier Science B.V. All rights reserved.