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Solving inexact graph isomorphism problems using neural networks
Neurocomputing, 2005We present a neural network approach to solve exact and inexact graph isomorphism problems for weighted graphs. In contrast to other neural heuristics or related methods this approach is based on a neural refinement procedure to reduce the search space followed by an energy-minimizing matching process. Experiments on random weighted graphs in the range
Fritz Wysotzki, Brijnesh J Jain
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A Multitask Network Robustness Analysis System Based on the Graph Isomorphism Network
Despite various measures across different engineering and social systems, network robustness remains crucial for resisting random faults and malicious attacks. In this study, robustness refers to the ability of a network to maintain its functionality after a part of the network has failed.
Lin Wang, Yang Lou, Chen Guanrong
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On neural networks for graph isomorphism problem
[Proceedings] 1992 RNNS/IEEE Symposium on Neuroinformatics and Neurocomputers, 1992Although the Hopfield neural networks is known to provide an efficient algorithm for hard problems, it cannot always give the correct solution due to local minima. For the graph isomorphism problem (which has not yet been proved to be polynomially solvable or NP-complete), the authors first introduce a Hopfield network that shows a similar behavior ...
K. Agusa, S. Fujita, M. Yamashita, T. Ae
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Influence of Krylov subspace in Graph Isomorphism for Mobile Networks
Mobile Networks and Applications, 2017Identification of isomorphism among graphs is one of the computationally challenging tasks in computer science that couldn’t be solved in polynomial time. In this paper, we derive a polynomial time algorithm that allows direct comparison between different graph structures to check for graph isomorphism.
T. Ramraj, R. Prabhakar
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Hypergraph Attention Isomorphism Network by Learning Line Graph Expansion
2020 IEEE International Conference on Big Data (Big Data), 2020Graph neural networks (GNNs) are able to achieve state-of-the-art performance for node representation and classification in a network. But, most of the existing GNNs can be applied to simple graphs, where an edge connects only a pair of nodes. Studies have shown that hypergraphs are effective to model real-world relationships which are of higher order ...
Sambaran Bandyopadhyay +2 more
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Networks modulo graph isomorphism
2000This chapter introduces the kernel of the network algebra, i.e., an algebraic theory of networks modulo graph isomorphism.
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Graph isomorphisms effect on structure optimization of neural networks
Proceedings of the 2002 International Joint Conference on Neural Networks. IJCNN'02 (Cat. No.02CH37290), 2003Concepts from the graph theory and molecular evolution are proposed for analyzing effects of redundancy induced by graph isomorphisms on the structure optimization of neural networks. It is demonstrated that a graph database that considers isomorphisms can drastically reduce the number of evaluations in an evolutionary structure optimization process.
C. Igel, P. Stagge
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Simplifying Structure and Pattern in Complex Social Networks Using Graph Isomorphism
2023 14th International Conference on Computing Communication and Networking Technologies (ICCCNT), 2023Arunakumari B. N +5 more
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Graph Isomorphism Network for Speech Emotion Recognition
Interspeech 2021, 2021Jiawang Liu, Haoxiang Wang 0002
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A Unified Addressing Schema for Hexagonal and Honeycomb Networks with Isomorphic Cayley Graphs
First International Multi-Symposiums on Computer and Computational Sciences (IMSCCS'06), 2006As interconnection architectures, the regular six-degree hexagonal networks and the regular three-degree honeycomb networks have been widely investigated. For the lack of a proper addressing schema, some published routing algorithms are very complicated and the topological properties of some complex hexagonal and honeycomb related architectures are not
Mingxin He, Wenjun Xiao
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