# Exact and Inexact Graph Matching: Methodology and Applications

@inproceedings{Riesen2010ExactAI, title={Exact and Inexact Graph Matching: Methodology and Applications}, author={Kaspar Riesen and Xiaoyi Jiang and Horst Bunke}, booktitle={Managing and Mining Graph Data}, year={2010} }

Graphs provide us with a powerful and flexible representation formalism which can be employed in various fields of intelligent information processing. The process of evaluating the similarity of graphs is referred to as graph matching. Two approaches to this task exist, viz. exact and inexact graph matching. The former approach aims at finding a strict correspondence between two graphs to be matched, while the latter is able to cope with errors and measures the difference of two graphs in a…

## 69 Citations

A novel graph matching method based on the local and global distance information of the graph nodes

- Computer ScienceInternational Workshop on Pattern Recognition
- 2020

This paper proposes an approximate graph matching method that first constructs an association graph with nodes representing the candidate correspondences between the two original graphs, then constructs an affinity matrix based on the local and global distance information between the original graphs’ nodes.

A Novel Method for Graph Matching

- Computer Science
- 2020

This work proposes an approximate graph matching method that obtains the matching between the nodes of the two original graphs by discretizing the distribution on the basis of the Hungarian algorithm.

Graph matching based on local and global information of the graph nodes

- Computer ScienceMultimedia Tools and Applications
- 2020

This method formulates the problem of computing the correspondences between two graphs as a problem of selecting nodes on an association graph and applies the Hungarian algorithm to obtains an approximate matching between the original two graphs.

KSGM: Keynode-driven Scalable Graph Matching

- Computer ScienceCIKM
- 2015

Experiments show that the proposed keynode-driven scalable graph matching algorithms produce alignments that are as accurate as (or better than) the state-of-the-art algorithms, with significantly faster online executions.

High efficiency and quality: large graphs matching

- Computer ScienceCIKM '11
- 2011

This paper proposes a novel two-step approach that can efficiently match two large graphs over thousands of nodes with high matching quality and gives the optimality of the refinement and discusses how to randomly refine the matching with different combinations.

Efficient geometric graph matching using vertex embedding

- Computer Science, MathematicsSIGSPATIAL/GIS
- 2013

This paper introduces an iterative matching algorithm that matches two graphs using their similarity in the Euclidean space and shows that this approach outperforms existing graph matching approaches in terms of matching quality and runtime.

Mining interesting frequent patterns in a single graph using inexact matching

- Computer Science
- 2015

This work introduces the algorithm AGraP, which, by allowing patterns that can have structural differences, in vertices as well as in edges, respect to their occurrences, is able to find patterns missed by other state of the art algorithms, and introduces the algorithms CloseAFG, MaxAFG and IntAFG that, by focusing on closed, maximal or interesting patterns, respectively, are able to reduce the amount of mined patterns by AGraC.

An approach to merging of two community subgraphs to form a community graph using graph mining techniques

- Computer Science2014 IEEE International Conference on Computational Intelligence and Computing Research
- 2014

New algorithms which merge two community subgraphs in an efficient and simpler way are proposed which explains about finding the order of merged communities and to make available of initial form of merged community matrix.

Querying and extracting heterogeneous graphs from structured data and unstrutured content

- Computer Science
- 2012

A new graph model called the SPIDER-Graph is defined, which models complex objects and permits to define heterogeneous graphs, and a set of algorithms to extract the content of a database from an enterprise and to represent it in this new model are developed.

Overview of Existing Software Tools for Graph Matching

- Computer Science
- 2013

The report aims to give an overview of publicly available software toolkits for graph matching and existing graph datasets for graphs matching benchmarking as well as common data structures to store graphs.

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