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We develop new methods based on graph motifs for graph clustering, allowing more efficient detection of communities within networks. We focus on triangles within graphs, but our techniques extend to other clique motifs as well. Our…

数据结构与算法 · 计算机科学 2017-02-07 Charalampos Tsourakakis , Jakub Pachocki , Michael Mitzenmacher

The Subgraph Isomorphism problem is of considerable importance in computer science. We examine the problem when the pattern graph H is of bounded treewidth, as occurs in a variety of applications. This problem has a well-known algorithm via…

数据结构与算法 · 计算机科学 2021-05-12 Karl Bringmann , Jasper Slusallek

Graphlets are defined as k-node connected induced subgraph patterns. For an undirected graph, 3-node graphlets include close triangle and open triangle. When k = 4, there are six types of graphlets, e.g., tailed-triangle and clique are two…

机器学习 · 计算机科学 2018-10-09 Xutong Liu , Yu-Zhen Janice Chen , John C. S. Lui , Konstantin Avrachenkov

The complexity and diversity of big data and AI workloads make understanding them difficult and challenging. This paper proposes a new approach to modelling and characterizing big data and AI workloads. We consider each big data and AI…

分布式、并行与集群计算 · 计算机科学 2018-08-28 Wanling Gao , Jianfeng Zhan , Lei Wang , Chunjie Luo , Daoyi Zheng , Fei Tang , Biwei Xie , Chen Zheng , Xu Wen , Xiwen He , Hainan Ye , Rui Ren

In this article, we propose a new method named fused mixed graphical model (FMGM), which can infer network structures for dichotomous phenotypes. We assumed that the interplay of different omics markers is associated with disease status and…

统计方法学 · 统计学 2022-09-01 Jaehyun Park , Sungho Won

Graph isomorphism problem is a known hard problem. In this paper, a novel randomized algorithm is proposed for this problem which is very simple and fast. It solves the graph isomorphism problem with running time O(n^2.373) for any pair of…

组合数学 · 数学 2019-09-25 Ameneh Farhadian

A subgraph is constructed by using a subset of vertices and edges of a given graph. There exist many graph properties that are hereditary for subgraphs. Hence, researchers from different communities have paid a great deal of attention in…

组合数学 · 数学 2023-06-06 Kai Siong Yow , Ningyi Liao , Siqiang Luo , Reynold Cheng , Chenhao Ma , Xiaolin Han

Concepts and methods of complex networks can be used to analyse texts at their different complexity levels. Examples of natural language processing (NLP) tasks studied via topological analysis of networks are keyword identification,…

计算与语言 · 计算机科学 2017-02-07 Vanessa Queiroz Marinho , Graeme Hirst , Diego Raphael Amancio

Detecting strong ties among users in social and information networks is a fundamental operation that can improve performance on a multitude of personalization and ranking tasks. Strong-tie edges are often readily obtained from the social…

社会与信息网络 · 计算机科学 2017-03-28 Rahmtin Rotabi , Krishna Kamath , Jon Kleinberg , Aneesh Sharma

Network motifs are often called the building blocks of networks. Analysis of motifs is found to be an indispensable tool for understanding local network structure, in contrast to measures based on node degree distribution and its functions…

物理与社会 · 物理学 2017-08-23 Asim Kumer Dey , Yulia R. Gel , H. Vincent Poor

We present the first truly subcubic, combinatorial algorithm for detecting an induced $4$-cycle in a graph. The running time is $O(n^{2.84})$ on $n$-node graphs, thus separating the task of detecting induced $4$-cycles from detecting…

数据结构与算法 · 计算机科学 2026-01-12 Amir Abboud , Shyan Akmal , Nick Fischer

Network science can offer fundamental insights into the structural and functional properties of complex systems. For example, it is widely known that neuronal circuits tend to organize into basic functional topological modules, called…

适应与自组织系统 · 物理学 2022-08-03 Matteo Zambra , Alberto Testolin , Amos Maritan

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,…

数据结构与算法 · 计算机科学 2023-08-31 Chamalee Wickrama Arachchi , Nikolaj Tatti

Motif finding is an important step for the detection of rare events occurring in a set of DNA or protein sequences. Extraction of information about these rare events can lead to new biological discoveries. Motifs are some important patterns…

数据结构与算法 · 计算机科学 2024-03-04 Saurav Dhar , Amlan Saha , Dhiman Goswami , Md. Abul Kashem Mia

De novo molecular generation is an essential task for science discovery. Recently, fragment-based deep generative models have attracted much research attention due to their flexibility in generating novel molecules based on existing…

机器学习 · 计算机科学 2023-02-28 Zijie Geng , Shufang Xie , Yingce Xia , Lijun Wu , Tao Qin , Jie Wang , Yongdong Zhang , Feng Wu , Tie-Yan Liu

Generative graph models create instances of graphs that mimic the properties of real-world networks. Generative models are successful at retaining pairwise associations in the underlying networks but often fail to capture higher-order…

社会与信息网络 · 计算机科学 2019-11-14 Anuththari Gamage , Eli Chien , Jianhao Peng , Olgica Milenkovic

Objective: Modelling the associations from high-throughput experimental molecular data has provided unprecedented insights into biological pathways and signalling mechanisms. Graphical models and networks have especially proven to be useful…

机器学习 · 统计学 2013-04-24 Marco Scutari , Radhakrishnan Nagarajan

Fast exact algorithms are known for Hamiltonian paths in undirected and directed bipartite graphs through elegant though involved algorithms that are quite different from each other. We devise algorithms that are simple and similar to each…

数据结构与算法 · 计算机科学 2025-12-10 V. Arvind , Srijan Chakraborty , Samir Datta , Asif Khan

Motifs are non-commonplace, recurring narrative elements, often found originally in folk stories. In addition to being of interest to folklorists, motifs appear as metaphoric devices in modern news, literature, propaganda, and other…

计算与语言 · 计算机科学 2026-03-23 Ibrahim H. Alyami , Mark A. Finlayson

We consider the problem of enumerating all instances of a given pattern graph in a large data graph. Our focus is on determining the input/output (I/O) complexity of this problem. Let $E$ be the number of edges in the data graph, $k=O(1)$…

数据结构与算法 · 计算机科学 2015-11-13 Francesco Silvestri
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