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Community detection in a complex network is an important problem of much interest in recent years. In general, a community detection algorithm chooses an objective function and captures the communities of the network by optimizing the…

Social and Information Networks · Computer Science 2015-08-27 Suman Saha , Satya P. Ghrera

The graph structure is a commonly used data storage mode, and it turns out that the low-dimensional embedded representation of nodes in the graph is extremely useful in various typical tasks, such as node classification, link prediction ,…

Social and Information Networks · Computer Science 2020-08-03 Xing Li , Wei Wei , Xiangnan Feng , Xue Liu , Zhiming Zheng

Attribute reconstruction is used to predict node or edge features in the pre-training of graph neural networks. Given a large number of molecules, they learn to capture structural knowledge, which is transferable for various downstream…

Machine Learning · Computer Science 2025-01-27 Eric Inae , Gang Liu , Meng Jiang

The graph isomorphism problem is considered. We assign modified $n$-variable characteristic polynomials for graphs and reduce the graph isomorphism problem to the problem of the polynomials isomorphism. It is required to find out, is there…

Discrete Mathematics · Computer Science 2024-10-18 Alexander Prolubnikov

This article introduces idMotif, a visual analytics framework designed to aid domain experts in the identification of motifs within protein sequences. Motifs, short sequences of amino acids, are critical for understanding the distinct…

Quantitative Methods · Quantitative Biology 2024-02-12 Ji Hwan Park , Vikash Prasad , Sydney Newsom , Fares Najar , Rakhi Rajan

Counting the number of triangles in a graph has many important applications in network analysis. Several frequently computed metrics like the clustering coefficient and the transitivity ratio need to count the number of triangles in the…

Data Structures and Algorithms · Computer Science 2013-04-24 Mostafa Haghir Chehreghani

We consider feature representation learning problem of molecular graphs. Graph Neural Networks have been widely used in feature representation learning of molecular graphs. However, most existing methods deal with molecular graphs…

Machine Learning · Computer Science 2022-06-08 Zhaoning Yu , Hongyang Gao

Graph Neural networks (GNNs) have recently become a powerful technique for many graph-related tasks including graph classification. Current GNN models apply different graph pooling methods that reduce the number of nodes and edges to learn…

Machine Learning · Computer Science 2023-03-08 Muhammad Ifte Khairul Islam , Max Khanov , Esra Akbas

Link prediction requires predicting which new links are likely to appear in a graph. Being able to predict unseen links with good accuracy has important applications in several domains such as social media, security, transportation, and…

Social and Information Networks · Computer Science 2020-06-08 Ghadeer Abuoda , Gianmarco De Francisci Morales , Ashraf Aboulnaga

Hypergraphs naturally represent group interactions, which are omnipresent in many domains: collaborations of researchers, co-purchases of items, joint interactions of proteins, to name a few. In this work, we propose tools for answering the…

Social and Information Networks · Computer Science 2020-07-21 Geon Lee , Jihoon Ko , Kijung Shin

With the increase of graph size, it becomes difficult or even impossible to visualize graph structures clearly within the limited screen space. Consequently, it is crucial to design effective visual representations for large graphs. In this…

Social and Information Networks · Computer Science 2024-08-30 Hong Zhou , Peifeng Lai , Zhida Sun , Xiangyuan Chen , Yang Chen , Huisi Wu , Yong Wang

Activities such as the movement of passengers and goods, the transfer of physical or digital assets, web navigation and even successive passes in football, result in timestamped paths through a physical or virtual network. The need to…

Physics and Society · Physics 2024-07-30 Kevin Teo , Naomi Arnold , Andrew Hone , István Zoltán Kiss

This paper introduces a generalization of Convolutional Neural Networks (CNNs) to graphs with irregular linkage structures, especially heterogeneous graphs with typed nodes and schemas. We propose a novel spatial convolution operation to…

Machine Learning · Computer Science 2019-07-23 Aravind Sankar , Xinyang Zhang , Kevin Chen-Chuan Chang

Graph Nerual Networks (GNNs) are effective models in graph embedding. It extracts shallow features and neighborhood information by aggregating neighbor information to learn the embedding representation of different nodes. However, the local…

Social and Information Networks · Computer Science 2023-12-14 Kejia Zhang

We introduce a method to convert an ensemble of sequences of symbols into a weighted directed network whose nodes are motifs, while the directed links and their weights are defined from statistically significant co-occurences of two motifs…

Molecular Networks · Quantitative Biology 2010-10-27 Roberta Sinatra , Daniele Condorelli , Vito Latora

Networks are used as highly expressive tools in different disciplines. In recent years, the analysis and mining of temporal networks have attracted substantial attention. Frequent pattern mining is considered an essential task in the…

Social and Information Networks · Computer Science 2021-05-14 Ali Jazayeri , Christopher C. Yang

Deep learning on graphs and in particular, graph convolutional neural networks, have recently attracted significant attention in the machine learning community. Many of such techniques explore the analogy between the graph Laplacian…

Machine Learning · Computer Science 2018-02-07 Federico Monti , Karl Otness , Michael M. Bronstein

We revisit the algorithmic problem of finding a triangle in a graph: We give a randomized combinatorial algorithm for triangle detection in a given $n$-vertex graph with $m$ edges running in $O(n^{7/3})$ time, or alternatively in…

Data Structures and Algorithms · Computer Science 2024-03-08 Adrian Dumitrescu

We present three quantum algorithms for clustering graphs based on higher-order patterns, known as motif clustering. One uses a straightforward application of Grover search, the other two make use of quantum approximate counting, and all of…

Quantum Physics · Physics 2023-07-05 Chris Cade , Farrokh Labib , Ido Niesen

Data-driven approaches are particularly useful for computational materials discovery and design as they can be used for rapidly screening over a very large number of materials, thus suggesting lead candidates for further in-depth…

Materials Science · Physics 2015-07-09 Tran Doan Huan , Arun Mannodi-Kanakkithodi , Rampi Ramprasad