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This work examines the problem of clique enumeration on a graph by exploiting its clique covers. The principle of inclusion/exclusion is applied to determine the number of cliques of size $r$ in the graph union of a set $\mathcal{C} =…

组合数学 · 数学 2022-07-01 Pavel Shuldiner , R. Wayne Oldford

Community detection in graphs is a problem that is likely to be relevant whenever network data appears, and consequently the problem has received much attention with many different methods and algorithms applied. However, many of these…

组合数学 · 数学 2025-05-16 Vilhelm Agdur

The modern science of networks has brought significant advances to our understanding of complex systems. One of the most relevant features of graphs representing real systems is community structure, or clustering, i. e. the organization of…

物理与社会 · 物理学 2010-09-17 Santo Fortunato

Problems based on the structure of graphs -- for example finding cliques, independent sets, or colourings -- are of fundamental importance in classical complexity. Defining well-formulated decision problems for quantum graphs, which are an…

量子物理 · 物理学 2025-01-27 Eric Culf , Arthur Mehta

Graph clustering is a challenging pattern recognition problem whose goal is to identify vertex partitions with high intra-group connectivity. This paper investigates a bi-objective problem that maximizes the number of intra-cluster edges of…

社会与信息网络 · 计算机科学 2019-09-10 Camila P. S. Tautenhain , Mariá C. V. Nascimento

Multi-sensor data that track system operating behaviors are widely available nowadays from various engineering systems. Measurements from each sensor over time form a curve and can be viewed as functional data. Clustering of these…

统计方法学 · 统计学 2024-01-08 Zhongnan Jin , Jie Min , Yili Hong , Pang Du , Qingyu Yang

The input of most clustering algorithms is a symmetric matrix quantifying similarity within data pairs. Such a matrix is here turned into a quadratic set function measuring cluster score or similarity within data subsets larger than pairs.…

离散数学 · 计算机科学 2015-09-30 Giovanni Rossi

We study the problem of efficient, scalable set-sharing analysis of logic programs. We use the idea of representing sharing information as a pair of abstract substitutions, one of which is a worst-case sharing representation called a clique…

计算机科学中的逻辑 · 计算机科学 2008-07-10 Jorge Navas , Francisco Bueno , Manuel Hermenegildo

When analyzing complex networks a key target is to uncover their modular structure, which means searching for a family of modules, namely node subsets spanning each a subnetwork more densely connected than the average. This work proposes a…

离散数学 · 计算机科学 2018-09-10 Giovanni Rossi

Relationship between agents can be conveniently represented by graphs. When these relationships have different modalities, they are better modelled by multilayer graphs where each layer is associated with one modality. Such graphs arise…

机器学习 · 统计学 2021-03-05 Guillaume Braun , Hemant Tyagi , Christophe Biernacki

The maximum clique problem is a well known NP-Hard problem with applications in data mining, network analysis, information retrieval and many other areas related to the World Wide Web. There exist several algorithms for the problem with…

数据结构与算法 · 计算机科学 2014-12-01 Bharath Pattabiraman , Md. Mostofa Ali Patwary , Assefaw H. Gebremedhin , Wei-keng Liao , Alok Choudhary

Considering a clique as a conservative definition of community structure, we examine how graph partitioning algorithms interact with cliques. Many popular community-finding algorithms partition the entire graph into non-overlapping…

物理与社会 · 物理学 2012-05-15 Fergal Reid , Aaron McDaid , Neil Hurley

Irregular computations on unstructured data are an important class of problems for parallel programming. Graph coloring is often an important preprocessing step, e.g. as a way to perform dependency analysis for safe parallel execution. The…

分布式、并行与集群计算 · 计算机科学 2015-05-19 Georgios Rokos , Gerard Gorman , Paul H J Kelly

Multi-modality image fusion aims at fusing modality-specific (complementarity) and modality-shared (correlation) information from multiple source images. To tackle the problem of the neglect of inter-feature relationships, high-frequency…

计算机视觉与模式识别 · 计算机科学 2025-05-20 Xiaoli Zhang , Liying Wang , Libo Zhao , Xiongfei Li , Siwei Ma

Quasi-cliques are dense incomplete subgraphs of a graph that generalize the notion of cliques. Enumerating quasi-cliques from a graph is a robust way to detect densely connected structures with applications to bio-informatics and social…

数据结构与算法 · 计算机科学 2020-02-04 Seyed-Vahid Sanei-Mehri , Apurba Das , Srikanta Tirthapura

Graph learning has emerged as a promising technique for multi-view clustering with its ability to learn a unified and robust graph from multiple views. However, existing graph learning methods mostly focus on the multi-view consistency…

机器学习 · 计算机科学 2021-07-06 Youwei Liang , Dong Huang , Chang-Dong Wang , Philip S. Yu

We propose a parallel algorithm for local, on the fly, model checking of a fragment of CTL that is well-suited for modern, multi-core architectures. This model-checking algorithm takes bene t from a parallel state space construction…

计算机科学中的逻辑 · 计算机科学 2013-02-01 Rodrigo Tacla Saad , Silvano Dal Zilio , Bernard Berthomieu

A strong clique in a graph is a clique intersecting every maximal independent set. We study the computational complexity of six algorithmic decision problems related to strong cliques in graphs and almost completely determine their…

组合数学 · 数学 2018-08-28 Ademir Hujdurović , Martin Milanič , Bernard Ries

Maximal clique enumeration (MCE) is a fundamental problem in graph theory and is used in many applications, such as social network analysis, bioinformatics, intelligent agent systems, cyber security, etc. Most existing MCE algorithms focus…

数据库 · 计算机科学 2020-12-01 Xiaofan Li , Rui Zhou , Lu Chen , Chengfei Liu , Qiang He , Yun Yang

We propose a novel framework for sparse functional clustering that also embeds an alignment step. Sparse functional clustering means finding a grouping structure while jointly detecting the parts of the curves' domains where their grouping…

统计方法学 · 统计学 2019-12-03 Valeria Vitelli