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Motivated by performance optimization of large-scale graph processing systems that distribute the graph across multiple machines, we consider the balanced graph partitioning problem. Compared to the previous work, we study the…

数据结构与算法 · 计算机科学 2019-02-19 Dmitrii Avdiukhin , Sergey Pupyrev , Grigory Yaroslavtsev

Relationships between entities in datasets are often of multiple nature, like geographical distance, social relationships, or common interests among people in a social network, for example. This information can naturally be modeled by a set…

机器学习 · 计算机科学 2015-08-31 Xiaowen Dong , Pascal Frossard , Pierre Vandergheynst , Nikolai Nefedov

The robustness of a network is depending on the type of attack we are considering. In this paper we focus on the spread of viruses on networks. It is common practice to use the epidemic threshold as a measure for robustness. Because the…

离散数学 · 计算机科学 2008-12-11 Robert Kooij , Phillip Schumm , Caterina Scoglio

In this paper, we develop semi-external and external memory algorithms for graph partitioning and clustering problems. Graph partitioning and clustering are key tools for processing and analyzing large complex networks. We address both…

数据结构与算法 · 计算机科学 2014-09-24 Yaroslav Akhremtsev , Peter Sanders , Christian Schulz

The Bandwidth Problem seeks for a simultaneous permutation of the rows and columns of the adjacency matrix of a graph such that all nonzero entries are as close as possible to the main diagonal. This work focuses on investigating novel…

最优化与控制 · 数学 2021-07-07 Franz Rendl , Renata Sotirov , Christian Truden

We investigate critical behaviors of a social contagion model on weighted networks. An edge-weight compartmental approach is applied to analyze the weighted social contagion on strongly heterogenous networks with skewed degree and weight…

物理与社会 · 物理学 2017-07-12 Yu-Xiao Zhu , Wei Wang , Ming Tang , Yong-Yeol Ahn

In this paper, we study the task of detecting the edge dependency between two weighted random graphs. We formulate this task as a simple hypothesis testing problem, where under the null hypothesis, the two observed graphs are statistically…

机器学习 · 计算机科学 2024-09-25 Mor Oren , Vered Paslev , Wasim Huleihel

Spectral clustering is widely used to partition graphs into distinct modules or communities. Existing methods for spectral clustering use the eigenvalues and eigenvectors of the graph Laplacian, an operator that is closely associated with…

社会与信息网络 · 计算机科学 2015-06-15 Laura M. Smith , Kristina Lerman , Cristina Garcia-Cardona , Allon G. Percus , Rumi Ghosh

A random intersection graph is constructed by assigning independently to each vertex a subset of a given set and drawing an edge between two vertices if and only if their respective subsets intersect. In this paper a model is developed in…

概率论 · 数学 2015-09-24 Maria Deijfen , Willemien Kets

We address the problem of message transfer in a communication network. The network consists of nodes and links, with the nodes lying on a two dimensional lattice. Each node has connections with its nearest neighbours, whereas some special…

统计力学 · 物理学 2007-05-23 Brajendra K. Singh , Neelima M. Gupte

The connections in many networks are not merely binary entities, either present or not, but have associated weights that record their strengths relative to one another. Recent studies of networks have, by and large, steered clear of such…

统计力学 · 物理学 2009-11-10 M. E. J. Newman

Graph clustering is an important technique to understand the relationships between the vertices in a big graph. In this paper, we propose a novel random-walk-based graph clustering method. The proposed method restricts the reach of the…

社会与信息网络 · 计算机科学 2016-06-22 Honglei Zhang , Jenni Raitoharju , Serkan Kiranyaz , Moncef Gabbouj

Measures of node centrality that describe the importance of a node within a network are crucial for understanding the behavior of social networks and graphs. In this paper, we address the problems of distributed estimation and control of…

系统与控制 · 计算机科学 2020-07-07 Eduardo Montijano , Gabriele Oliva , Andrea Gasparri

Incomplete multi-view clustering has become one of the important research problems due to the extensive missing multi-view data in the real world. Although the existing methods have made great progress, there are still some problems: 1)…

机器学习 · 计算机科学 2025-02-27 Guoqing Chao , Kaixin Xu , Xijiong Xie , Yongyong Chen

This letter examines the controllability of consensus dynamics on matrix-weighed networks from a graph-theoretic perspective. Unlike the scalar-weighted networks, the rank of weight matrix introduces additional intricacies into…

系统与控制 · 电气工程与系统科学 2020-01-14 Lulu Pan , Haibin Shao , Mehran Mesbahi , Yugeng Xi , Dewei Li

The graph invariant examined in this paper is the largest eigenvalue of the adjacency matrix of a graph. Previous work demonstrates the tight relationship between this invariant, the birth and death rate of a contagion spreading on the…

社会与信息网络 · 计算机科学 2022-10-27 V. Cherniavskyi , G. Dennis , S. R. Kingan

Fair graph partition of social networks is a crucial step toward ensuring fair and non-discriminatory treatments in unsupervised user analysis. Current fair partition methods typically consider node balance, a notion pursuing a…

社会与信息网络 · 计算机科学 2023-07-18 Tingwei Liu , Peizhao Li , Hongfu Liu

In this paper we present a novel approach for anonymizing Online Social Network graphs which can be used in conjunction with existing perturbation approaches such as clustering and modification. The main insight of this paper is that by…

密码学与安全 · 计算机科学 2021-01-07 David F. Nettleton , Vicenc Torra , Anton Dries

With the advance of complex large-scale networks, it is becoming increasingly important to understand how selfish and spatially distributed individuals will share network resources without centralized coordinations. In this paper, we…

网络与互联网体系结构 · 计算机科学 2012-06-05 Richard Southwell , Jianwei Huang , Biying Shou

Many load balancing problems that arise in scientific computing applications ask to partition a graph with weights on the vertices and costs on the edges into a given number of almost equally-weighted parts such that the maximum boundary…

数据结构与算法 · 计算机科学 2007-05-23 David Steurer