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The Euclidean Steiner tree problem asks to find a min-cost metric graph that connects a given set of \emph{terminal} points $X$ in $\mathbb{R}^d$, possibly using points not in $X$ which are called Steiner points. Even though near-linear…

Computational Geometry · Computer Science 2023-12-01 T-H. Hubert Chan , Gramoz Goranci , Shaofeng H. -C. Jiang , Bo Wang , Quan Xue

Temporal graphs are structures which model relational data between entities that change over time. Due to the complex structure of data, mining statistically significant temporal subgraphs, also known as temporal motifs, is a challenging…

Social and Information Networks · Computer Science 2021-10-05 Antonio Longa , Giulia Cencetti , Bruno Lepri , Andrea Passerini

In the standard CONGEST model for distributed network computing, it is known that "global" tasks such as minimum spanning tree, diameter, and all-pairs shortest paths, consume large bandwidth, for their running-time is…

Distributed, Parallel, and Cluster Computing · Computer Science 2017-06-14 Pierre Fraigniaud , Pedro Montealegre , Dennis Olivetti , Ivan Rapaport , Ioan Todinca

Considering a graph with unknown weights, can we find the shortest path for a pair of nodes if we know the minimal Steiner trees associated with some subset of nodes? That is, with respect to a fixed latent decision-making system (e.g., a…

Machine Learning · Computer Science 2024-02-06 Guangmo Tong , Peng Zhao , Mina Samizadeh

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…

Combinatorics · Mathematics 2024-12-05 Jan Bok , Antoine Dailly , Tuomo Lehtilä

In this paper, we give approximation algorithms for the \textsc{Minimum Dominating Set (MDS)} problem on \emph{string} graphs and its subclasses. A \emph{path} is a simple curve made up of alternating horizontal and vertical line segments.…

Discrete Mathematics · Computer Science 2018-10-02 Dibyayan Chakraborty , Sandip Das , Joydeep Mukherjee

Nearest neighbor search supports important applications in many domains, such as database, machine learning, computer vision. Since the computational cost for accurate search is too high, the community turned to the research of approximate…

Information Retrieval · Computer Science 2022-01-11 Xiaobin Fan , Xiaoping Wang , Kai Lu , Lei Xue , Jinjing Zhao

Although Breadth-First Search (BFS) has several advantages over Depth-First Search (DFS) its prohibitive space requirements have meant that algorithm designers often pass it over in favor of DFS. To address this shortcoming, we introduce a…

Software Engineering · Computer Science 2012-07-05 Srinivas Nedunuri , William R. Cook , Douglas R. Smith

Dynamic temporal graphs represent evolving relations between entities, e.g. interactions between social network users or infection spreading. We propose an extension of graph echo state networks for the efficient processing of dynamic…

Machine Learning · Computer Science 2022-10-31 Domenico Tortorella , Alessio Micheli

Delay-tolerant networks (DTNs) are characterized by a possible absence of end-to-end communication routes at any instant. Still, connectivity can generally be established over time and space. The optimality of a temporal path (journey) in…

Distributed, Parallel, and Cluster Computing · Computer Science 2012-04-16 Arnaud Casteigts , Paola Flocchini , Bernard Mans , Nicola Santoro

Temporal network data are increasingly available in various domains, and often represent highly complex systems with intricate structural and temporal evolutions. Due to the difficulty of processing such complex data, it may be useful to…

Physics and Society · Physics 2023-05-08 Chanon Thongprayoon , Lorenzo Livi , Naoki Masuda

Finding optimal matchings in dense graphs is of general interest and of particular importance in social, transportation and biological networks. While developing optimal solutions for various matching problems is important, the running…

Data Structures and Algorithms · Computer Science 2020-11-16 Nitish K. Panigrahy , Prithwish Basu , Don Towsley

Community search is a problem that seeks cohesive and connected subgraphs in a graph that satisfy certain topology constraints, e.g., degree constraints. The majority of existing works focus exclusively on the topology and ignore the nodes'…

Social and Information Networks · Computer Science 2022-07-05 You Peng , Song Bian , Rui Li , Sibo Wang , Jeffrey Xu Yu

Planning under uncertainty is an area of interest in artificial intelligence. We present a novel approach based on tree search and graph machine learning for the scheduling problem known as Disjunctive Temporal Networks with Uncertainty…

Artificial Intelligence · Computer Science 2022-03-31 Kevin Osanlou , Jeremy Frank , Andrei Bursuc , Tristan Cazenave , Eric Jacopin , Christophe Guettier , J. Benton

The dynamics of temporal networks lie in the continuous interactions between nodes, which exhibit the dynamic node preferences with time elapsing. The challenges of mining temporal networks are thus two-fold: the dynamic structure of…

Information Retrieval · Computer Science 2021-11-24 Tongya Zheng , Zunlei Feng , Yu Wang , Chengchao Shen , Mingli Song , Xingen Wang , Xinyu Wang , Chun Chen , Hao Xu

Finding the shortest paths in road network is an important query in our life nowadays, and various index structures are constructed to speed up the query answering. However, these indexes can hardly work in real-life scenario because the…

Databases · Computer Science 2019-10-29 Mengxuan Zhang , Lei Li , Wen Hua , Xiaofang Zhou

Networks are fundamental to the study of complex systems, ranging from social contacts, message transactions, to biological regulations and economical networks. In many realistic applications, these networks may vary over time. Modeling and…

Social and Information Networks · Computer Science 2020-04-07 Kun Tu , Jian Li , Don Towsley , Dave Braines , Liam Turner

Temporal closeness is a generalization of the classical closeness centrality measure for analyzing evolving networks. The temporal closeness of a vertex $v$ is defined as the sum of the reciprocals of the temporal distances to the other…

Databases · Computer Science 2023-01-23 Lutz Oettershagen , Petra Mutzel

Networks built to model real world phenomena are characeterised by some properties that have attracted the attention of the scientific community: (i) they are organised according to community structure and (ii) their structure evolves with…

Social and Information Networks · Computer Science 2019-09-04 Giulio Rossetti , Rémy Cazabet

Influential community search (ICS) finds a set of densely connected and high-impact vertices from a social network. Although great effort has been devoted to ICS problems, most existing methods do not consider how relevant the influential…

Social and Information Networks · Computer Science 2025-04-10 Long Teng , Yanhao Wang , Zhe Lin , Fei Yu