Utilizing Constraint Satisfaction Techniques for Efficient Graph Pattern Matching

Author(s):  
Michael Rudolf
2002 ◽  
Vol 12 (4) ◽  
pp. 403-422 ◽  
Author(s):  
JAVIER LARROSA ◽  
GABRIEL VALIENTE

Graph pattern matching is a central problem in many application fields. Since it is NP-complete, we cannot expect to find algorithms with a good worst-case performance. However, there is still room for general procedures with a good average performance. In this paper we explore four different solving approaches within the constraint satisfaction framework, and introduce a new algorithm, which we call nRF+. The algorithm is a refinement of really full look ahead that takes advantage of the problem structure in order to enhance the look ahead procedure. We give a formal proof that nRF+ is superior to the other approaches in terms of number of visited nodes. An additional contribution of this paper is the introduction of a new benchmark for testing algorithms in this domain. It is formed by a large set of well-defined graphs of very diverse nature. In this benchmark, we show that nRF+ can efficiently solve a broad range of problems, while still leaving many problem instances unsolved. The use of this challenging benchmark is encouraged for future algorithms evaluation.


2019 ◽  
Vol 30 (4) ◽  
pp. 24-40
Author(s):  
Lei Li ◽  
Fang Zhang ◽  
Guanfeng Liu

Big graph data is different from traditional data and they usually contain complex relationships and multiple attributes. With the help of graph pattern matching, a pattern graph can be designed, satisfying special personal requirements and locate the subgraphs which match the required pattern. Then, how to locate a graph pattern with better attribute values in the big graph effectively and efficiently becomes a key problem to analyze and deal with big graph data, especially for a specific domain. This article introduces fuzziness into graph pattern matching. Then, a genetic algorithm, specifically an NSGA-II algorithm, and a particle swarm optimization algorithm are adopted for multi-fuzzy-objective optimization. Experimental results show that the proposed approaches outperform the existing approaches effectively.


2021 ◽  
Author(s):  
Daniel Mawhirter ◽  
Samuel Reinehr ◽  
Wei Han ◽  
Noah Fields ◽  
Miles Claver ◽  
...  

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