TY - JOUR
T1 - Median graph: A new exact algorithm using a distance based on the maximum common subgraph
AU - Ferrer, M.
AU - Valveny, E.
AU - Serratosa, F.
PY - 2009/4/1
Y1 - 2009/4/1
N2 - Median graphs have been presented as a useful tool for capturing the essential information of a set of graphs. Nevertheless, computation of optimal solutions is a very hard problem. In this work we present a new and more efficient optimal algorithm for the median graph computation. With the use of a particular cost function that permits the definition of the graph edit distance in terms of the maximum common subgraph, and a prediction function in the backtracking algorithm, we reduce the size of the search space, avoiding the evaluation of a great amount of states and still obtaining the exact median. We present a set of experiments comparing our new algorithm against the previous existing exact algorithm using synthetic data. In addition, we present the first application of the exact median graph computation to real data and we compare the results against an approximate algorithm based on genetic search. These experimental results show that our algorithm outperforms the previous existing exact algorithm and in addition show the potential applicability of the exact solutions to real problems. © 2009 Elsevier B.V. All rights reserved.
AB - Median graphs have been presented as a useful tool for capturing the essential information of a set of graphs. Nevertheless, computation of optimal solutions is a very hard problem. In this work we present a new and more efficient optimal algorithm for the median graph computation. With the use of a particular cost function that permits the definition of the graph edit distance in terms of the maximum common subgraph, and a prediction function in the backtracking algorithm, we reduce the size of the search space, avoiding the evaluation of a great amount of states and still obtaining the exact median. We present a set of experiments comparing our new algorithm against the previous existing exact algorithm using synthetic data. In addition, we present the first application of the exact median graph computation to real data and we compare the results against an approximate algorithm based on genetic search. These experimental results show that our algorithm outperforms the previous existing exact algorithm and in addition show the potential applicability of the exact solutions to real problems. © 2009 Elsevier B.V. All rights reserved.
KW - Graph matching
KW - Maximum common subgraph
KW - Median graph
KW - Minimum common supergraph
U2 - https://doi.org/10.1016/j.patrec.2008.12.014
DO - https://doi.org/10.1016/j.patrec.2008.12.014
M3 - Article
VL - 30
SP - 579
EP - 588
JO - Pattern Recognition Letters
JF - Pattern Recognition Letters
SN - 0167-8655
ER -