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Our work concerns algorithms for an unweighted variant of Maximum Flow. In the All-Pairs Connectivity (APC) problem, we are given a graph $G$ on $n$ vertices and $m$ edges, and are tasked with computing the maximum number of edge-disjoint…

数据结构与算法 · 计算机科学 2023-05-04 Shyan Akmal , Ce Jin

We address the problem of efficient data gathering in a wireless network through multi-hop communication. We focus on the objective of minimizing the maximum flow time of a data packet. We prove that no polynomial time algorithm for this…

数据结构与算法 · 计算机科学 2019-07-01 Vincenzo Bonifaci , Peter Korteweg , Alberto Marchetti-Spaccamela , Leen Stougie

Motivated by the increasing need to understand the algorithmic foundations of distributed large-scale graph computations, we study a number of fundamental graph problems in a message-passing model for distributed computing where $k \geq 2$…

分布式、并行与集群计算 · 计算机科学 2016-07-07 Gopal Pandurangan , Peter Robinson , Michele Scquizzato

We study an NP-hard problem motivated by energy-efficiently maintaining the connectivity of a symmetric wireless communication network: Given an edge-weighted $n$-vertex graph, find a connected spanning subgraph of minimum cost, where the…

数据结构与算法 · 计算机科学 2022-03-23 Matthias Bentert , René van Bevern , André Nichterlein , Rolf Niedermeier , Pavel V. Smirnov

We consider a task graph to be executed on a set of processors. We assume that the mapping is given, say by an ordered list of tasks to execute on each processor, and we aim at optimizing the energy consumption while enforcing a prescribed…

分布式、并行与集群计算 · 计算机科学 2012-08-03 Guillaume Aupy , Anne Benoit , Fanny Dufossé , Yves Robert

A group of mobile agents, identical, anonymous, and oblivious (memoryless), having the capability to sense only the relative direction (bearing) to neighborhing agents within a finite visibility range, are shown to gather to a meeting point…

多智能体系统 · 计算机科学 2015-11-02 Levi-Itzhak Bellaiche , Alfred Bruckstein

We consider the (exact, minimum) $k$-cut problem: given a graph and an integer $k$, delete a minimum-weight set of edges so that the remaining graph has at least $k$ connected components. This problem is a natural generalization of the…

数据结构与算法 · 计算机科学 2019-10-08 Jason Li

In the restricted shortest paths problem, we are given a graph $G$ whose edges are assigned two non-negative weights: lengths and delays, a source $s$, and a delay threshold $D$. The goal is to find, for each target $t$, the length of the…

数据结构与算法 · 计算机科学 2024-10-23 Vikrant Ashvinkumar , Aaron Bernstein , Adam Karczmarz

In many problems, agents cooperate locally so that a leader or fusion center can infer the state of every agent from probing the state of only a small number of agents. Versions of this problem arise when a fusion center reconstructs an…

多智能体系统 · 计算机科学 2017-02-10 Stephen Kruzick , Sérgio Pequito , Soummya Kar , José M. F. Moura , A. Pedro Aguiar

In this paper, we design a greedy routing on networks of mobile agents. In the greedy routing algorithm, every time step a packet in agent $i$ is delivered to the agent $j$ whose distance from the destination is shortest among searched…

网络与互联网体系结构 · 计算机科学 2011-12-21 Han-Xin Yang , Wen-Xu Wang , Ying-Cheng Lai , Bing-Hong Wang

We study the Temporal Exploration problem, where an agent must visit all vertices of a temporal graph while traversing at most one available edge per time step. Unlike static graphs, which can be explored in linear time, temporal…

数据结构与算法 · 计算机科学 2026-05-18 Ivan Lahtin , Viktor Zamaraev

Modelling passenger assignments in public transport networks is a fundamental task for city planners, especially when deliberating network infrastructure decisions. A key aspect of a realistic model is to integrate passengers' selfish…

计算机科学与博弈论 · 计算机科学 2025-10-02 Tobias Harks , Sven Jäger , Michael Markl , Philine Schiewe

We consider the k-outconnected directed Steiner tree problem (k-DST). Given a directed edge-weighted graph $G=(V,E,w)$, where $V=\{r\}\cup S \cup T$, and an integer $k$, the goal is to find a minimum cost subgraph of $G$ in which there are…

数据结构与算法 · 计算机科学 2024-07-11 Sarel Cohen , Lior Kamma , Aikaterini Niklanovits

For the task of moving a group of indistinguishable agents on a connected graph with unit edge lengths into an arbitrary goal formation, it was previously shown that distance optimal paths can be scheduled to complete with a tight…

机器人学 · 计算机科学 2015-03-20 Jingjin Yu

We study the problem of optimally inspecting an underground (underwater) gallery with k agents. We consider a gallery with a single opening and with a tree topology rooted at the opening. Due to the small diameter of the pipes (caves), the…

机器人学 · 计算机科学 2022-09-22 Sergey Bereg , L. Evaristo Caraballo , José Miguel Díaz-Báñez

Let v(G) be the number of vertices and t(G,k) the maximum number of disjoint k-edge trees in G. In this paper we show that (a1) if G is a graph with every vertex of degree at least two and at most s, where s > 3, then t(G,2) is at least…

组合数学 · 数学 2007-05-23 Alexander Kelmans

In this paper, a distributed velocity-constrained consensus problem is studied for discrete-time multi-agent systems, where each agent's velocity is constrained to lie in a nonconvex set. A distributed constrained control algorithm is…

最优化与控制 · 数学 2020-03-05 Peng Lin , Wei Ren , Huijun Gao

We consider a connected undirected graph $G(n,m)$ with $n$ nodes and $m$ edges. A $k$-dominating set $D$ in $G$ is a set of nodes having the property that every node in $G$ is at most $k$ edges away from at least one node in $D$. Finding a…

分布式、并行与集群计算 · 计算机科学 2007-05-23 L. D. Penso , V. C. Barbosa

We study the problem of online Multi-Agent Pickup and Delivery (MAPD), where a team of agents must repeatedly serve dynamically appearing tasks on a shared map. Existing online methods either rely on simple heuristics, which result in poor…

多智能体系统 · 计算机科学 2025-08-11 Yue Zhang , Zhe Chen , Daniel Harabor , Pierre Le Bodic , Peter J. Stuckey

Today's networks consist of many autonomous entities that follow their own objectives, i.e., smart devices or parts of large AI systems, that are interconnected. Given the size and complexity of most communication networks, each entity…

计算机科学与博弈论 · 计算机科学 2026-02-02 Pascal Lenzner , Paraskevi Machaira