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A matching cut is a partition of the vertex set of a graph into two sets $A$ and $B$ such that each vertex has at most one neighbor in the other side of the cut. The MATCHING CUT problem asks whether a graph has a matching cut, and has been…

数据结构与算法 · 计算机科学 2019-05-09 Guilherme C. M. Gomes , Ignasi Sau

Logistics and transportation networks require a large amount of resources to realize necessary connections between locations and minimizing these resources is a vital aspect of planning research. Since such networks have dynamic connections…

社会与信息网络 · 计算机科学 2024-09-02 Argyrios Deligkas , Michelle Döring , Eduard Eiben , Tiger-Lily Goldsmith , George Skretas , Georg Tennigkeit

We consider the problem of computing a maximal matching with a distributed algorithm in the presence of batch-dynamic changes to the graph topology. We assume that a graph of $n$ nodes is vertex-partitioned among $k$ players that…

分布式、并行与集群计算 · 计算机科学 2024-01-30 Minming Li , Peter Robinson , Xianbin Zhu

Finding patterns in graphs is a fundamental problem in databases and data mining. In many applications, graphs are temporal and evolve over time, so we are interested in finding durable patterns, such as triangles and paths, which persist…

数据库 · 计算机科学 2024-03-26 Pankaj K. Agarwal , Xiao Hu , Stavros Sintos , Jun Yang

We study the classic problem of correlation clustering in dynamic node streams. In this setting, nodes are either added or randomly deleted over time, and each node pair is connected by a positive or negative edge. The objective is to…

数据结构与算法 · 计算机科学 2024-06-14 Vincent Cohen-Addad , Silvio Lattanzi , Andreas Maggiori , Nikos Parotsidis

We consider inapproximability of the correlation clustering problem defined as follows: Given a graph $G = (V,E)$ where each edge is labeled either "+" (similar) or "-" (dissimilar), correlation clustering seeks to partition the vertices…

机器学习 · 计算机科学 2009-03-23 Jinsong Tan

When choosing the timing of cross-sectional network snapshots in longitudinal social network studies, the effect on the precision of parameter estimates generally plays a minor role. Often the timing is opportunistic or determined by a…

种群与进化 · 定量生物学 2016-04-22 Ekkehard Beck , Benjamin Armbruster

Temporal graphs are graphs where the presence or properties of their vertices and edges change over time. When time is discrete, a temporal graph can be defined as a sequence of static graphs over a discrete time span, called lifetime, or…

数据结构与算法 · 计算机科学 2026-05-05 Binh-Minh Bui-Xuan , Florent Krasnopol , Bruno Monasson , Nathalie Sznajder

A great variety of systems in nature, society and technology -- from the web of sexual contacts to the Internet, from the nervous system to power grids -- can be modeled as graphs of vertices coupled by edges. The network structure,…

适应与自组织系统 · 物理学 2012-10-10 Petter Holme , Jari Saramäki

Triangle counting and sampling are two fundamental problems for streaming algorithms. Arguably, designing sampling algorithms is more challenging than their counting variants. It may be noted that triangle counting has received far greater…

数据结构与算法 · 计算机科学 2024-05-17 Arijit Bishnu , Arijit Ghosh , Gopinath Mishra , Sayantan Sen

We study streaming algorithms for Correlation Clustering. Given a graph as an arbitrary-order stream of edges, with each edge labeled as positive or negative, the goal is to partition the vertices into disjoint clusters, such that the…

数据结构与算法 · 计算机科学 2025-10-14 Yinhao Dong , Shan Jiang , Shi Li , Pan Peng

An emerging way to deal with high-dimensional non-euclidean data is to assume that the underlying structure can be captured by a graph. Recently, ideas have begun to emerge related to the analysis of time-varying graph signals. This work…

机器学习 · 计算机科学 2017-05-08 Francesco Grassi , Andreas Loukas , Nathanaël Perraudin , Benjamin Ricaud

Graph coloring is one of the most famous computational problems with applications in a wide range of areas such as planning and scheduling, resource allocation, and pattern matching. So far coloring problems are mostly studied on static…

离散数学 · 计算机科学 2019-06-12 George B. Mertzios , Hendrik Molter , Viktor Zamaraev

In this paper we present a simple but powerful subgraph sampling primitive that is applicable in a variety of computational models including dynamic graph streams (where the input graph is defined by a sequence of edge/hyperedge insertions…

Many processes of spreading and diffusion take place on temporal networks, and their outcomes are influenced by correlations in the times of contact. These correlations have a particularly strong influence on processes where the spreading…

物理与社会 · 物理学 2017-09-19 Mikko Kivelä , Jordan Cambe , Jari Saramäki , Márton Karsai

Online bipartite matching is a fundamental problem in online algorithms. The goal is to match two sets of vertices to maximize the sum of the edge weights, where for one set of vertices, each vertex and its corresponding edge weights appear…

数据结构与算法 · 计算机科学 2024-02-13 Hang Hu , Zhao Song , Runzhou Tao , Zhaozhuo Xu , Junze Yin , Danyang Zhuo

A \emph{resolving set} $R$ in a graph $G$ is a set of vertices such that every vertex of $G$ is uniquely identified by its distances to the vertices of $R$. Introduced in the 1970s, this concept has been since then extensively studied from…

组合数学 · 数学 2024-12-05 Jan Bok , Antoine Dailly , Tuomo Lehtilä

While a natural fit for modeling and understanding mobile networks, time-varying graphs remain poorly understood. Indeed, many of the usual concepts of static graphs have no obvious counterpart in time-varying ones. In this paper, we…

网络与互联网体系结构 · 计算机科学 2012-08-01 John Whitbeck , Marcelo Dias de Amorim , Vania Conan , Jean-Loup Guillaume

Researchers, policy makers, and engineers need to make sense of data on spreading processes as diverse as viral infections, water contamination, and misinformation in social networks. Classical questions include predicting infection…

数据结构与算法 · 计算机科学 2025-03-19 Ben Bals

We introduce a temporal Steiner network problem in which a graph, as well as changes to its edges and/or vertices over a set of discrete times, are given as input; the goal is to find a minimal subgraph satisfying a set of $k$…

计算复杂性 · 计算机科学 2017-09-04 Alex Khodaverdian , Benjamin Weitz , Jimmy Wu , Nir Yosef