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Subgraph matching is the problem of determining the presence and location(s) of a given query graph in a large target graph. Despite being an NP-complete problem, the subgraph matching problem is crucial in domains ranging from network…

Machine Learning · Computer Science 2020-10-28 Rex , Ying , Zhaoyu Lou , Jiaxuan You , Chengtao Wen , Arquimedes Canedo , Jure Leskovec

Graph clustering discovers groups or communities within networks. Deep learning methods such as autoencoders (AE) extract effective clustering and downstream representations but cannot incorporate rich structural information. While Graph…

Machine Learning · Computer Science 2022-04-28 Gayan K. Kulatilleke , Marius Portmann , Shekhar S. Chandra

Efficiently capturing consistent and complementary semantic features in a multimodal conversation context is crucial for Multimodal Emotion Recognition in Conversation (MERC). Existing methods mainly use graph structures to model dialogue…

Computation and Language · Computer Science 2024-05-06 Tao Meng , Fuchen Zhang , Yuntao Shou , Wei Ai , Nan Yin , Keqin Li

Multi-layer graphs consist of several graphs (layers) over the same vertex set. They are motivated by real-world problems where entities (vertices) are associated via multiple types of relationships (edges in different layers). We chart the…

Computational Complexity · Computer Science 2019-10-23 Robert Bredereck , Christian Komusiewicz , Stefan Kratsch , Hendrik Molter , Rolf Niedermeier , Manuel Sorge

We study the maximum matching problem in fully dynamic graphs: a graph is undergoing both edge insertions and deletions, and the goal is to efficiently maintain a large matching after each edge update. This problem has received considerable…

Data Structures and Algorithms · Computer Science 2022-01-11 Soheil Behnezhad , Sanjeev Khanna

The subgraph enumeration problem asks us to find all subgraphs of a target graph that are isomorphic to a given pattern graph. Determining whether even one such isomorphic subgraph exists is NP-complete---and therefore finding all such…

Distributed, Parallel, and Cluster Computing · Computer Science 2017-05-29 Raphael Kimmig , Henning Meyerhenke , Darren Strash

Given a graph $G$, the NP-hard Maximum Planar Subgraph problem (MPS) asks for a planar subgraph of $G$ with the maximum number of edges. There are several heuristic, approximative, and exact algorithms to tackle the problem, but---to the…

Data Structures and Algorithms · Computer Science 2016-08-29 Markus Chimani , Karsten Klein , Tilo Wiedera

In this paper, we consider multi-channel sampling (MCS) for graph signals. We generally encounter full-band graph signals beyond the bandlimited one in many applications, such as piecewise constant/smooth and union of bandlimited graph…

Signal Processing · Electrical Eng. & Systems 2023-01-31 Junya Hara , Yuichi Tanaka

The phenomenal growth of graph data from a wide variety of real-world applications has rendered graph querying to be a problem of paramount importance. Traditional techniques use structural as well as node similarities to find matches of a…

Databases · Computer Science 2021-05-14 Jithin Vachery , Akhil Arora , Sayan Ranu , Arnab Bhattacharya

A new approach of graph matching is introduced in this paper, which efficiently solves the problem of graph isomorphism and subgraph isomorphism. In this paper we are introducing a new approach called SubGraD, for query graph detection in…

Data Structures and Algorithms · Computer Science 2012-05-23 Akshara Pande , Vivekanand Pant , S. Nigam

The \emph{maximal $k$-edge-connected subgraphs} problem is a classical graph clustering problem studied since the 70's. Surprisingly, no non-trivial technique for this problem in weighted graphs is known: a very straightforward…

Data Structures and Algorithms · Computer Science 2023-02-07 Chaitanya Nalam , Thatchaphol Saranurak

Finding maximum-cardinality matchings in undirected graphs is arguably one of the most central graph problems. For general m-edge and n-vertex graphs, it is well-known to be solvable in $O(m \sqrt{n})$ time. We develop a linear-time…

Data Structures and Algorithms · Computer Science 2018-10-23 George B. Mertzios , André Nichterlein , Rolf Niedermeier

Graph retrieval based on subgraph isomorphism has several real-world applications such as scene graph retrieval, molecular fingerprint detection and circuit design. Roy et al. [35] proposed IsoNet, a late interaction model for subgraph…

Machine Learning · Computer Science 2025-10-28 Ashwin Ramachandran , Vaibhav Raj , Indrayumna Roy , Soumen Chakrabarti , Abir De

Finding dense subgraphs is a core problem in graph mining with many applications in diverse domains. At the same time many real-world networks vary over time, that is, the dataset can be represented as a sequence of graph snapshots. Hence,…

Data Structures and Algorithms · Computer Science 2023-08-31 Chamalee Wickrama Arachchi , Nikolaj Tatti

Graphs are widely used for representing pairwise interactions in complex systems. Since such real-world graphs are large and often evergrowing, sampling a small representative subgraph is indispensable for various purposes: simulation,…

Social and Information Networks · Computer Science 2022-02-08 Minyoung Choe , Jaemin Yoo , Geon Lee , Woonsung Baek , U Kang , Kijung Shin

Graph convolution network based approaches have been recently used to model region-wise relationships in region-level prediction problems in urban computing. Each relationship represents a kind of spatial dependency, like region-wise…

Machine Learning · Computer Science 2019-05-29 Xu Geng , Xiyu Wu , Lingyu Zhang , Qiang Yang , Yan Liu , Jieping Ye

Collaborative filtering (CF) models have demonstrated remarkable performance in recommender systems, which represent users and items as embedding vectors. Recently, due to the powerful modeling capability of graph neural networks for…

Information Retrieval · Computer Science 2024-11-05 Hao Chen , Yuanchen Bei , Wenbing Huang , Shengyuan Chen , Feiran Huang , Xiao Huang

We introduce and discuss the Minimum Capacity-Preserving Subgraph (MCPS) problem: given a directed graph and a retention ratio $\alpha \in (0,1)$, find the smallest subgraph that, for each pair of vertices $(u,v)$, preserves at least a…

Data Structures and Algorithms · Computer Science 2025-02-13 Markus Chimani , Max Ilsen

Multi-behavior recommendation (MBR) has garnered growing attention recently due to its ability to mitigate the sparsity issue by inferring user preferences from various auxiliary behaviors to improve predictions for the target behavior.…

Information Retrieval · Computer Science 2024-12-20 Yabo Yin , Xiaofei Zhu , Wenshan Wang , Yihao Zhang , Pengfei Wang , Yixing Fan , Jiafeng Guo

Personalized recommendation is ubiquitous, playing an important role in many online services. Substantial research has been dedicated to learning vector representations of users and items with the goal of predicting a user's preference for…

Information Retrieval · Computer Science 2020-01-03 Jianing Sun , Yingxue Zhang , Chen Ma , Mark Coates , Huifeng Guo , Ruiming Tang , Xiuqiang He