Efficient Approximate Approach for Graph Edit Distance Problem

Author(s):  
Adel Dabah ◽  
Ibrahim Chegrane ◽  
Saïd Yahiaoui
2019 ◽  
Vol 106 ◽  
pp. 225-235 ◽  
Author(s):  
Mostafa Darwiche ◽  
Donatello Conte ◽  
Romain Raveaux ◽  
Vincent T’Kindt

Author(s):  
Elena Rica ◽  
Susana Álvarez ◽  
Francesc Serratosa

2019 ◽  
Vol 163 ◽  
pp. 762-775 ◽  
Author(s):  
Xiaoyang Chen ◽  
Hongwei Huo ◽  
Jun Huan ◽  
Jeffrey Scott Vitter

2021 ◽  
Vol 2 (6) ◽  
Author(s):  
Francesc Serratosa

AbstractGraph edit distance has been used since 1983 to compare objects in machine learning when these objects are represented by attributed graphs instead of vectors. In these cases, the graph edit distance is usually applied to deduce a distance between attributed graphs. This distance is defined as the minimum amount of edit operations (deletion, insertion and substitution of nodes and edges) needed to transform a graph into another. Since now, it has been stated that the distance properties have to be applied [(1) non-negativity (2) symmetry (3) identity and (4) triangle inequality] to the involved edit operations in the process of computing the graph edit distance to make the graph edit distance a metric. In this paper, we show that there is no need to impose the triangle inequality in each edit operation. This is an important finding since in pattern recognition applications, the classification ratio usually maximizes in the edit operation combinations (deletion, insertion and substitution of nodes and edges) that the triangle inequality is not fulfilled.


2020 ◽  
Vol 20 (18) ◽  
pp. 1582-1592 ◽  
Author(s):  
Carlos Garcia-Hernandez ◽  
Alberto Fernández ◽  
Francesc Serratosa

Background: Graph edit distance is a methodology used to solve error-tolerant graph matching. This methodology estimates a distance between two graphs by determining the minimum number of modifications required to transform one graph into the other. These modifications, known as edit operations, have an edit cost associated that has to be determined depending on the problem. Objective: This study focuses on the use of optimization techniques in order to learn the edit costs used when comparing graphs by means of the graph edit distance. Methods: Graphs represent reduced structural representations of molecules using pharmacophore-type node descriptions to encode the relevant molecular properties. This reduction technique is known as extended reduced graphs. The screening and statistical tools available on the ligand-based virtual screening benchmarking platform and the RDKit were used. Results: In the experiments, the graph edit distance using learned costs performed better or equally good than using predefined costs. This is exemplified with six publicly available datasets: DUD-E, MUV, GLL&GDD, CAPST, NRLiSt BDB, and ULS-UDS. Conclusion: This study shows that the graph edit distance along with learned edit costs is useful to identify bioactivity similarities in a structurally diverse group of molecules. Furthermore, the target-specific edit costs might provide useful structure-activity information for future drug-design efforts.


Sign in / Sign up

Export Citation Format

Share Document