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This work focuses on training graph foundation models (GFMs) that have strong generalization ability in graph-level tasks such as graph classification. Effective GFM training requires capturing information consistent across different…

Machine Learning · Computer Science 2026-03-10 Ziheng Sun , Qi Feng , Lehao Lin , Chris Ding , Jicong Fan

Embedding networks into a fixed dimensional feature space, while preserving its essential structural properties is a fundamental task in graph analytics. These feature vectors (graph descriptors) are used to measure the pairwise similarity…

Databases · Computer Science 2020-02-20 Zohair Raza Hassan , Mudassir Shabbir , Imdadullah Khan , Waseem Abbas

The graph-based model can help to detect suspicious fraud online. Owing to the development of Graph Neural Networks~(GNNs), prior research work has proposed many GNN-based fraud detection frameworks based on either homogeneous graphs or…

Social and Information Networks · Computer Science 2020-07-03 Zhiwei Liu , Yingtong Dou , Philip S. Yu , Yutong Deng , Hao Peng

Machine learning on graph-structured data has attracted high research interest due to the emergence of Graph Neural Networks (GNNs). Most of the proposed GNNs are based on the node homophily, i.e neighboring nodes share similar…

Machine Learning · Computer Science 2021-02-18 George Dasoulas , Giannis Nikolentzos , Kevin Scaman , Aladin Virmaux , Michalis Vazirgiannis

Graph Neural Networks (GNNs) have emerged as prominent models for representation learning on graph structured data. GNNs follow an approach of message passing analogous to 1-dimensional Weisfeiler Lehman (1-WL) test for graph isomorphism…

Machine Learning · Computer Science 2022-03-18 Mohammed Haroon Dupty , Wee Sun Lee

We propose a novel method for topological analysis of unweighted graphs which is based on \textit{persistent homology}. The proposed method maps the input graph to a complete weighted graph where the weighting function maps each edge to a…

Algebraic Topology · Mathematics 2020-07-31 Padraig Corcoran

Structure encoding has proven to be the key feature to distinguishing links in a graph. However, Structure encoding in the temporal graph keeps changing as the graph evolves, repeatedly computing such features can be time-consuming due to…

Machine Learning · Computer Science 2024-07-31 Ke Cheng , Linzhi Peng , Junchen Ye , Leilei Sun , Bowen Du

Graph neural networks (GNNs) work well when the graph structure is provided. However, this structure may not always be available in real-world applications. One solution to this problem is to infer a task-specific latent structure and then…

Machine Learning · Computer Science 2021-11-02 Bahare Fatemi , Layla El Asri , Seyed Mehran Kazemi

Graph Neural Networks (GNNs) extend the success of neural networks to graph-structured data by accounting for their intrinsic geometry. While extensive research has been done on developing GNN models with superior performance according to a…

Given a large-scale graph with millions of nodes and edges, how to reveal macro patterns of interest, like cliques, bi-partite cores, stars, and chains? Furthermore, how to visualize such patterns altogether getting insights from the graph…

Social and Information Networks · Computer Science 2016-11-17 Hugo Gualdron , Robson Cordeiro , Jose Rodrigues

Graph Neural Networks (GNNs) are effective for node classification in graph-structured data, but they lack explainability, especially at the global level. Current research mainly utilizes subgraphs of the input as local explanations or…

Artificial Intelligence · Computer Science 2024-05-22 Dominik Köhler , Stefan Heindorf

Binary code similarity detection is an important problem with applications in areas such as malware analysis, vulnerability research and license violation detection. This paper proposes a novel graph neural network architecture combined…

Cryptography and Security · Computer Science 2024-11-13 Joshua Collyer , Tim Watson , Iain Phillips

Symmetry plays a major role in subgraph matching both in the description of the graphs in question and in how it confounds the search process. This work addresses how to quantify these effects and how to use symmetries to increase the…

Data Structures and Algorithms · Computer Science 2023-01-10 Dominic Yang , Yurun Ge , Thien Nguyen , Jacob Moorman , Denali Molitor , Andrea Bertozzi

Subgraph pattern detection aims to uncover complex interaction structures in graphs. However, state-of-the-art graph neural network (GNN)-based solutions assume centralized access to the entire graph. When graphs are instead distributed…

Machine Learning · Computer Science 2026-05-08 Selin Ceydeli , Rui Wang , Kubilay Atasu

In this paper, we revisit the split decomposition of graphs and give new combinatorial and algorithmic results for the class of totally decomposable graphs, also known as the distance hereditary graphs, and for two non-trivial subclasses,…

Discrete Mathematics · Computer Science 2011-04-19 Emeric Gioan , Christophe Paul

This paper introduces a novel Graph Neural Network (GNN) architecture for time series classification, based on visibility graph representations. Traditional time series classification methods often struggle with high computational…

Machine Learning · Computer Science 2024-10-15 Paulo Coelho , Raul Araju , Luís Ramos , Samir Saliba , Renato Vimieiro

A graph $G$ covers a graph $H$ if there exists a locally bijective homomorphism from $G$ to $H$. We deal with regular covers in which this locally bijective homomorphism is prescribed by an action of a subgroup of ${\rm Aut}(G)$. Regular…

Combinatorics · Mathematics 2014-05-29 Jiří Fiala , Pavel Klavík , Jan Kratochvíl , Roman Nedela

Let $G$ be a graph with $n$ vertices, and let $A(G)$ and $D(G)$ denote respectively the adjacency matrix and the degree matrix of $G$. Define $$ A_{\alpha}(G)=\alpha D(G)+(1-\alpha)A(G) $$ for any real $\alpha\in [0,1]$. The…

Combinatorics · Mathematics 2019-01-24 Xiaogang Liu , Shunyi Liu

In this paper, we propose an end-to-end graph learning framework, namely Deep Iterative and Adaptive Learning for Graph Neural Networks (DIAL-GNN), for jointly learning the graph structure and graph embeddings simultaneously. We first cast…

Machine Learning · Computer Science 2019-12-18 Yu Chen , Lingfei Wu , Mohammed J. Zaki

Finding complete subgraphs in a graph, that is, cliques, is a key problem and has many real-world applications, e.g., finding communities in social networks, clustering gene expression data, modeling ecological niches in food webs, and…

Optimization and Control · Mathematics 2017-05-01 Melisew Tefera Belachew , Nicolas Gillis