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In this work we propose R-GPM, a parallel computing framework for graph pattern mining (GPM) through a user-defined subgraph relation. More specifically, we enable the computation of statistics of patterns through their subgraph classes,…

Machine Learning · Computer Science 2020-10-13 Carlos H. C. Teixeira , Leonardo Cotta , Bruno Ribeiro , Wagner Meira

Multiple interval graphs are variants of interval graphs where instead of a single interval, each vertex is assigned a set of intervals on the real line. We study the complexity of the MAXIMUM CLIQUE problem in several classes of multiple…

Discrete Mathematics · Computer Science 2012-03-12 Mathew C. Francis , Daniel Gonçalves , Pascal Ochem

Various graphs such as web or social networks may contain up to trillions of edges. Compressing such datasets can accelerate graph processing by reducing the amount of I/O accesses and the pressure on the memory subsystem. Yet, selecting a…

Data Structures and Algorithms · Computer Science 2019-04-30 Maciej Besta , Torsten Hoefler

Sampling of signals defined over the nodes of a graph is one of the crucial problems in graph signal processing. While in classical signal processing sampling is a well defined operation, when we consider a graph signal many new challenges…

Information Theory · Computer Science 2019-05-30 Diego Valsesia , Giulia Fracastoro , Enrico Magli

Approximate nearest neighbor search (ANNS) is a crucial problem in information retrieval and AI applications. Recently, there has been a surge of interest in graph-based ANNS algorithms due to their superior efficiency and accuracy.…

Databases · Computer Science 2025-09-03 Zhenxin Li , Shuibing He , Jiahao Guo , Xuechen Zhang , Xian-He Sun , Gang Chen

Analysing Web graphs has applications in determining page ranks, fighting Web spam, detecting communities and mirror sites, and more. This study is however hampered by the necessity of storing a major part of huge graphs in the external…

Data Structures and Algorithms · Computer Science 2011-09-07 Szymon Grabowski , Wojciech Bieniecki

The graph matching problem is a significant special case of the Quadratic Assignment Problem, with extensive applications in pattern recognition, computer vision, protein alignments and related fields. As the problem is NP-hard, relaxation…

Optimization and Control · Mathematics 2025-04-01 Rongxuan Li

For a graph G and integer r\geq 1 we denote the collection of independent r-sets of G by I^{(r)}(G). If v\in V(G) then I_v^{(r)}(G) is the collection of all independent r-sets containing v. A graph G, is said to be r-EKR, for r\geq 1, iff…

Combinatorics · Mathematics 2007-05-23 Fred Holroyd , John Talbot

By applying simplification operations to categories of multigraphs, several natural graph operations are shown to demonstrate categorical issues. The replacement of an undirected edge with a directed cycle for digraphs admits both a left…

Category Theory · Mathematics 2024-03-21 Will Grilliette

More and more large data collections are gathered worldwide in various IT systems. Many of them possess the networked nature and need to be processed and analysed as graph structures. Due to their size they require very often usage of…

Distributed, Parallel, and Cluster Computing · Computer Science 2013-06-04 Tomasz Kajdanowicz , Przemyslaw Kazienko , Wojciech Indyk

Neural embedding models are extensively employed in the table union search problem, which aims to find semantically compatible tables that can be merged with a given query table. In particular, multi-vector models, which represent a table…

Databases · Computer Science 2025-11-10 Yiming Xie , Hua Dai , Mingfeng Jiang , Pengyue Li , zhengkai Zhang , Bohan Li

Many problems, especially those with a composite structure, can naturally be expressed in higher order logic. From a KR perspective modeling these problems in an intuitive way is a challenging task. In this paper we study the graph mining…

Logic in Computer Science · Computer Science 2016-09-01 Matthias van der Hallen , Sergey Paramonov , Michael Leuschel , Gerda Janssens

CTR prediction, which aims to estimate the probability that a user will click an item, plays a crucial role in online advertising and recommender system. Feature interaction modeling based and user interest mining based methods are the two…

Information Retrieval · Computer Science 2021-06-09 Wei Guo , Rong Su , Renhao Tan , Huifeng Guo , Yingxue Zhang , Zhirong Liu , Ruiming Tang , Xiuqiang He

We continue the line of research on graph compression started with WebGraph, but we move our focus to the compression of social networks in a proper sense (e.g., LiveJournal): the approaches that have been used for a long time to compress…

Data Structures and Algorithms · Computer Science 2011-10-17 Paolo Boldi , Marco Rosa , Massimo Santini , Sebastiano Vigna

Graph theory is increasingly commonly utilised in genetics, proteomics and neuroimaging. In such fields, the data of interest generally constitute weighted graphs. Analysis of such weighted graphs often require the integration of…

Molecular Networks · Quantitative Biology 2011-06-09 Cedric E. Ginestet , Andrew Simmons

Recovery of signals with elements defined on the nodes of a graph, from compressive measurements is an important problem, which can arise in various domains such as sensor networks, image reconstruction and group testing. In some scenarios,…

Signal Processing · Electrical Eng. & Systems 2024-02-19 Sabyasachi Ghosh , Ajit Rajwade

Continual Graph Learning (CGL) enables models to incrementally learn from streaming graph-structured data without forgetting previously acquired knowledge. Experience replay is a common solution that reuses a subset of past samples during…

Machine Learning · Computer Science 2026-03-31 Qiao Yuan , Sheng-Uei Guan , Pin Ni , Tianlun Luo , Ka Lok Man , Prudence Wong , Victor Chang

Effective data imputation demands rich latent ``structure" discovery capabilities from ``plain" tabular data. Recent advances in graph neural networks-based data imputation solutions show their strong structure learning potential by…

Machine Learning · Computer Science 2024-04-16 Jiajun Zhong , Weiwei Ye , Ning Gui

Semantic search in retrieval-augmented generation (RAG) systems is often insufficient for complex information needs, particularly when relevant evidence is scattered across multiple sources. Prior approaches to this problem include agentic…

Machine Learning · Computer Science 2026-03-27 Ruizhong Miao , Yuying Wang , Rongguang Wang , Chenyang Li , Tao Sheng , Sujith Ravi , Dan Roth

Temporal interaction graphs (TIGs), consisting of sequences of timestamped interaction events, are prevalent in fields like e-commerce and social networks. To better learn dynamic node embeddings that vary over time, researchers have…

Machine Learning · Computer Science 2023-02-17 Yao Zhang , Yun Xiong , Yongxiang Liao , Yiheng Sun , Yucheng Jin , Xuehao Zheng , Yangyong Zhu