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In this paper, we study the complexity of the periodic temporal graph realization problem with respect to upper bounds on the fastest path durations among its vertices. This constraint with respect to upper bounds appears naturally in…

数据结构与算法 · 计算机科学 2025-04-22 George B. Mertzios , Hendrik Molter , Nils Morawietz , Paul G. Spirakis

The fully dynamic transitive closure problem asks to maintain reachability information in a directed graph between arbitrary pairs of vertices, while the graph undergoes a sequence of edge insertions and deletions. The problem has been…

数据结构与算法 · 计算机科学 2020-02-04 Kathrin Hanauer , Monika Henzinger , Christian Schulz

Graph routing problems play a vital role in web-related networks, where finding optimal paths across graphs is essential for efficient data transmission and content delivery. Classic routing formulations such as the Traveling Salesman…

机器学习 · 计算机科学 2025-10-13 Shiyan Liu , Bohan Tan , Zhiguang Cao , Yan Jin

Temporal graphs are graphs whose edges are labelled with times at which they are active. Their time-sensitivity provides a useful model of real networks, but renders many problems studied on temporal graphs more computationally complex than…

离散数学 · 计算机科学 2026-04-28 Jessica Enright , Samuel D. Hand , Laura Larios-Jones , Kitty Meeks

We study the so-called dynamic coverage problem by agents located in some topological graph. The agents must visit all regions of interest but they also should stay connected to the base via multi-hop. We prove that the algorithmic…

多智能体系统 · 计算机科学 2018-10-16 Tristan Charrier , François Schwarzentruber , Eva Soulier

The Directed Traveling Salesman Problem (DTSP) is a variant of the classical Traveling Salesman Problem in which the edges in the graph are directed and a vertex and edge can be visited multiple times. The goal is to find a directed closed…

数据结构与算法 · 计算机科学 2025-09-17 Václav Blažej , Andreas Emil Feldmann , Foivos Fioravantes , Paweł Rzążewski , Ondřej Suchý

Modern, inherently dynamic systems are usually characterized by a network structure, i.e. an underlying graph topology, which is subject to discrete changes over time. Given a static underlying graph $G$, a temporal graph can be represented…

计算复杂性 · 计算机科学 2019-08-13 Eleni C. Akrida , George B. Mertzios , Paul G. Spirakis , Viktor Zamaraev

A temporal graph has an edge set that may change over discrete time steps, and a temporal path (or walk) must traverse edges that appear at increasing time steps. Accordingly, two temporal paths (or walks) are temporally disjoint if they do…

数据结构与算法 · 计算机科学 2023-01-26 Pascal Kunz , Hendrik Molter , Meirav Zehavi

The continuous expansion of the urban construction scale has recently contributed to the demand for the dynamics of traffic intersections that are managed, making adaptive modellings become a hot topic. Existing deep learning methods are…

机器学习 · 计算机科学 2022-10-04 Yingming Pu

We consider the problem of assigning appearing times to the edges of a digraph in order to maximize the (average) temporal reachability between pairs of nodes. Motivated by the application to public transit networks, where edges cannot be…

离散数学 · 计算机科学 2025-01-22 Filippo Brunelli , Pierluigi Crescenzi , Laurent Viennot

We address highly dynamic distributed systems modeled by time-varying graphs (TVGs). We interest in proof of impossibility results that often use informal arguments about convergence. First, we provide a distance among TVGs to define…

分布式、并行与集群计算 · 计算机科学 2014-12-19 Nicolas Braud-Santoni , Swan Dubois , Mohamed-Hamza Kaaouachi , Franck Petit

We study a fundamental NP-hard motion coordination problem for multi-robot/multi-agent systems: We are given a graph $G$ and set of agents, where each agent has a given directed path in $G$. Each agent is initially located on the first…

机器人学 · 计算机科学 2023-03-02 Mikkel Abrahamsen , Tzvika Geft , Dan Halperin , Barak Ugav

We live in a world increasingly dominated by networks -- communications, social, information, biological etc. A central attribute of many of these networks is that they are dynamic, that is, they exhibit structural changes over time. While…

网络与互联网体系结构 · 计算机科学 2010-12-02 Prithwish Basu , Amotz Bar-Noy , Ram Ramanathan , Matthew P. Johnson

Covering all edges of a graph by a small number of vertices, this is the NP-complete Vertex Cover problem. It is among the most fundamental graph-algorithmic problems. Following a recent trend in studying temporal graphs (a sequence of…

计算复杂性 · 计算机科学 2020-07-02 Till Fluschnik , Rolf Niedermeier , Valentin Rohm , Philipp Zschoche

Time-evolving or temporal graphs gain more and more popularity when studying the behavior of complex networks. In this context, the multistage view on computational problems is among the most natural frameworks. Roughly speaking, herein one…

计算复杂性 · 计算机科学 2020-07-30 Klaus Heeger , Anne-Sophie Himmel , Frank Kammer , Rolf Niedermeier , Malte Renken , Andrej Sajenko

Reachability and other path-based measures on temporal graphs can be used to understand spread of infection, information, and people in modelled systems. Due to delays and errors in reporting, temporal graphs derived from data are unlikely…

离散数学 · 计算机科学 2025-05-23 Jessica Enright , Laura Larios-Jones , Kitty Meeks , William Pettersson

In many applications of vehicle routing, a set of time windows are feasible for each visit, giving rise to the Vehicle Routing Problem with Multiple Time Windows (VRPMTW). We argue that such disjunctions are problematic for many solution…

最优化与控制 · 数学 2019-05-13 Rune Larsen , Dario Pacino

This paper studies the traffic monitoring problem in a road network using a team of aerial robots. The problem is challenging due to two main reasons. First, the traffic events are stochastic, both temporally and spatially. Second, the…

机器人学 · 计算机科学 2021-07-13 Behzad Khamidehi , Elvino S. Sousa

Temporal graphs are graphs whose topology is subject to discrete changes over time. Given a static underlying graph $G$, a temporal graph is represented by assigning a set of integer time-labels to every edge $e$ of $G$, indicating the…

离散数学 · 计算机科学 2020-09-30 George B. Mertzios , Hendrik Molter , Rolf Niedermeier , Viktor Zamaraev , Philipp Zschoche

In recent years, Dynamic Graph (DG) representations have been increasingly used for modeling dynamic systems due to their ability to integrate both topological and temporal information in a compact representation. Dynamic graphs allow to…

机器学习 · 计算机科学 2023-04-13 Leshanshui Yang , Sébastien Adam , Clément Chatelain