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We present a multi-agent system where agents can cooperate to solve a system of dependent tasks, with agents having the capability to explore a solution space, make inferences, as well as query for information under a limited budget.…

Multiagent Systems · Computer Science 2024-05-21 Karishma , Shrisha Rao

We consider collaborative graph exploration with a set of $k$ agents. All agents start at a common vertex of an initially unknown graph and need to collectively visit all other vertices. We assume agents are deterministic, vertices are…

Discrete Mathematics · Computer Science 2016-10-07 Yann Disser , Frank Mousset , Andreas Noever , Nemanja Škorić , Angelika Steger

In recent work, Gourv\`es, Lesca, and Wilczynski propose a variant of the classic housing markets model where the matching between agents and objects evolves through Pareto-improving swaps between pairs of adjacent agents in a social…

Computer Science and Game Theory · Computer Science 2021-10-11 Fu Li , C. Gregory Plaxton , Vaibhav B. Sinha

A parallel server system is a stochastic processing network with applications in manufacturing, supply chain, ride-hailing, call centers, etc. Heterogeneous customers arrive in the system, and only a subset of servers can serve any customer…

Networking and Internet Architecture · Computer Science 2023-01-10 Sushil Mahavir Varma , Siva Theja Maguluri

We devise a general graph-theoretic framework for studying prophet inequalities. In this framework, an agent traverses a directed acyclic graph from a starting node $s$ to a target node $t$. Each edge has a value that is sampled from a…

Computer Science and Game Theory · Computer Science 2024-06-21 Andrés Cristi , Sigal Oren

We study four NP-hard optimal seat arrangement problems [Bodlaender et al., 2020a], which each have as input a set of n agents, where each agent has cardinal preferences over other agents, and an n-vertex undirected graph (called seat…

Computer Science and Game Theory · Computer Science 2023-05-18 Esra Ceylan , Jiehua Chen , Sanjukta Roy

We study the multistage $K$-facility reallocation problem on the real line, where we maintain $K$ facility locations over $T$ stages, based on the stage-dependent locations of $n$ agents. Each agent is connected to the nearest facility at…

Data Structures and Algorithms · Computer Science 2019-05-30 Dimitris Fotakis , Loukas Kavouras , Panagiotis Kostopanagiotis , Philip Lazos , Stratis Skoulakis , Nikolas Zarifis

We study the problem of optimal leader selection in consensus networks with noisy relative information. The objective is to identify the set of $k$ leaders that minimizes the formation's deviation from the desired trajectory established by…

Optimization and Control · Mathematics 2014-12-23 Stacy Patterson , Neil McGlohon , Kirill Dyagilev

We study the following problem: given an integer $k \ge 3$ and a simple graph $G$, sample a connected induced $k$-node subgraph of $G$ uniformly at random. This is a fundamental graph mining primitive with applications in social network…

Data Structures and Algorithms · Computer Science 2021-10-29 Marco Bressan

We show that, for any graph optimization problem in which the feasible solutions can be expressed by a formula in monadic second-order logic describing sets of vertices or edges and in which the goal is to minimize the sum of the weights in…

Data Structures and Algorithms · Computer Science 2017-03-09 David Eppstein , Denis Kurz

We aim to connect two problems, namely, dispersion and load balancing. Both problems have already been studied over static as well as dynamic graphs. Though dispersion and load balancing share some common features, the tools used in solving…

Distributed, Parallel, and Cluster Computing · Computer Science 2025-09-03 Ashish Saxena , Tanvir Kaur , Kaushik Mondal

We study a common delivery problem encountered in nowadays online food-ordering platforms: Customers order dishes online, and the restaurant delivers the food after receiving the order. Specifically, we study a problem where $k$ vehicles of…

Data Structures and Algorithms · Computer Science 2021-11-04 Xiangyu Guo , Shi Li , Kelin Luo , Yuhao Zhang

The kTree problem is a special case of Subgraph Isomorphism where the pattern graph is a tree, that is, the input is an $n$-node graph $G$ and a $k$-node tree $T$, and the goal is to determine whether $G$ has a subgraph isomorphic to $T$.…

Data Structures and Algorithms · Computer Science 2018-04-10 Robert Krauthgamer , Ohad Trabelsi

In this paper we study a resource allocation problem that encodes correlation between items in terms of \conflict and maximizes the minimum utility of the agents under a conflict free allocation. Admittedly, the problem is computationally…

Data Structures and Algorithms · Computer Science 2023-09-12 Sushmita Gupta , Pallavi Jain , Saket Saurabh

This work concerns the general issue of combined optimality in terms of time and space complexity. In this context, we study the problem of (exact) counting resource-limited and passively mobile nodes in the model of population protocols,…

Distributed, Parallel, and Cluster Computing · Computer Science 2016-11-23 James Aspnes , Joffroy Beauquier , Janna Burman , Devan Sohier

In project management, a project is typically described as an activity-on-edge network (AOE network), where each activity / job is represented as an edge of some network $N$ (which is a DAG). Some jobs must be finished before others can be…

Data Structures and Algorithms · Computer Science 2024-04-17 Ruixi Luo , Kai Jin , Zelin Ye

In the rendezvous problem, two computing entities (called \emph{agents}) located at different vertices in a graph have to meet at the same vertex. In this paper, we consider the synchronous \emph{neighborhood rendezvous problem}, where the…

Distributed, Parallel, and Cluster Computing · Computer Science 2022-03-14 Ryota Eguchi , Naoki Kitamura , Taisuke Izumi

We consider the one-to-one Pickup and Delivery Problem (PDP) in Euclidean Space with arbitrary dimension $d$ where $n$ transportation requests are picked i.i.d. with a separate origin-destination pair for each object to be moved. First, we…

Computational Complexity · Computer Science 2016-10-31 Martin Olsen

Diffusion is a fundamental graph process, underpinning such phenomena as epidemic disease contagion and the spread of innovation by word-of-mouth. We address the algorithmic problem of finding a set of k initial seed nodes in a network so…

Data Structures and Algorithms · Computer Science 2016-06-23 Christian Borgs , Michael Brautbar , Jennifer Chayes , Brendan Lucier

We investigate the computational power of the deterministic single-agent model where the agent and each node are equipped with a limited amount of persistent memory. Tasks are formalized as decision problems on properties of input graphs,…

Data Structures and Algorithms · Computer Science 2022-09-07 Taisuke Izumi , Kazuki Kakizawa , Yuya Kawabata , Naoki Kitamura , Toshimitsu Masuzawa