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We present new greedy and beam search heuristic methods to find small-size $k$-dominating sets in graphs. The methods are inspired by a new problem formulation which explicitly highlights a certain structure of the problem. An empirical…

离散数学 · 计算机科学 2021-11-16 Padraig Corcoran , Andrei Gagarin

We consider a dynamic model for competition in a social network, where two strategic agents have fixed beliefs and the non-strategic/regular agents adjust their states according to a distributed consensus protocol. We suppose that one…

社会与信息网络 · 计算机科学 2021-05-06 M. Bini , P. Frasca , C. Ravazzi , F. Dabbene

Finding the shortest path between two points in a graph is a fundamental problem that has been well-studied over the past several decades. Shortest path algorithms are commonly applied to modern navigation systems, so our study aims to…

数据结构与算法 · 计算机科学 2022-08-02 Kevin Y. Chen

We study the problem of optimal traffic prediction and monitoring in large-scale networks. Our goal is to determine which subset of K links to monitor in order to "best" predict the traffic on the remaining links in the network. We consider…

数据结构与算法 · 计算机科学 2013-12-04 Michael Kallitsis , Stilian Stoev , George Michailidis

Large scale decentralized communication systems have introduced the new trend towards online routing where routing decisions are performed based on a limited and localized knowledge of the network. Geometrical greedy routing has been among…

计算几何 · 计算机科学 2009-03-31 M. Ghaffari , B. Hariri , S. Shirmohammadi

Automated driving in urban scenarios requires efficient planning algorithms able to handle complex situations in real-time. A popular approach is to use graph-based planning methods in order to obtain a rough trajectory which is…

机器人学 · 计算机科学 2021-02-17 Oliver Speidel , Jona Ruof , Klaus Dietmayer

We consider the problem of scheduling in multihop wireless networks subject to interference constraints. We consider a graph based representation of wireless networks, where scheduled links adhere to the K-hop link interference model. We…

网络与互联网体系结构 · 计算机科学 2010-06-28 Albert Sunny , Joy Kuri

Several modern applications involve huge graphs and require fast answers to reachability queries. In more than two decades since first proposals, several approaches have been presented adopting on-line searches, hop labelling or transitive…

数据结构与算法 · 计算机科学 2016-11-09 Nicolas Boria , Gianpiero Cabodi , Paolo Camurati , Marco Palena , Paolo Pasini , Stefano Quer

Network optimization has generally been focused on solving network flow problems, but recently there have been investigations into optimizing network characteristics. Optimizing network connectivity to maximize the number of nodes within a…

物理与社会 · 物理学 2020-08-03 Jeremy Auerbach , Hyun Kim

The design of good heuristics or approximation algorithms for NP-hard combinatorial optimization problems often requires significant specialized knowledge and trial-and-error. Can we automate this challenging, tedious process, and learn the…

机器学习 · 计算机科学 2018-02-23 Hanjun Dai , Elias B. Khalil , Yuyu Zhang , Bistra Dilkina , Le Song

We introduce and formulate two types of random-walk domination problems in graphs motivated by a number of applications in practice (e.g., item-placement problem in online social network, Ads-placement problem in advertisement networks, and…

社会与信息网络 · 计算机科学 2013-02-20 Rong-Hua Li , Jeffrey Xu Yu , Xin Huang , Hong Cheng

The problem of finding the densest subgraph in a given graph has several applications in graph mining, particularly in areas like social network analysis, protein and gene analyses etc. Depending on the application, finding dense subgraphs…

数据结构与算法 · 计算机科学 2019-11-07 Naga V. C. Gudapati , Enrico Malaguti , Michele Monaci

Identifying the nodes that must be directly controlled to steer a network along a desired trajectory remains an open problem for digraphs, and even more so for hypergraphs. In this manuscript, we investigate network systems coupled via…

数学物理 · 物理学 2026-03-17 Fabio Della Rossa , Davide Liuzza , Francesco Lo Iudice , Pietro De Lellis

Clustering a graph means identifying internally dense subgraphs which are only sparsely interconnected. Formalizations of this notion lead to measures that quantify the quality of a clustering and to algorithms that actually find…

数据结构与算法 · 计算机科学 2011-12-12 Robert Görke , Andrea Schumm , Dorothea Wagner

Informed sampling techniques accelerate the convergence of sampling-based motion planners by biasing sampling toward regions of the state space that are most likely to yield better solutions. However, when the current solution path contains…

机器人学 · 计算机科学 2025-11-25 Phone Thiha Kyaw , Anh Vu Le , Rajesh Elara Mohan , Jonathan Kelly

In the age of real-time online traffic information and GPS-enabled devices, fastest-path computations between two points in a road network modeled as a directed graph, where each directed edge is weighted by a "travel time" value, are…

数据结构与算法 · 计算机科学 2018-10-04 Renjie Chen , Craig Gotsman

We characterize the reachability probabilities in stochastic directed graphs by means of reinforcement learning methods. In particular, we show that the dynamics of the transition probabilities in a stochastic digraph can be modeled via a…

人工智能 · 计算机科学 2022-02-28 Corrado Possieri , Mattia Frasca , Alessandro Rizzo

We introduce a measure of {\em greedy connectivity} for geographical networks (graphs embedded in space) and where the search for connecting paths relies only on local information, such as a node's location and that of its neighbors.…

统计力学 · 物理学 2015-05-18 Jie Sun , Daniel ben-Avraham

In Nature Machine Intelligence 4, 367 (2022), Schuetz et al provide a scheme to employ graph neural networks (GNN) as a heuristic to solve a variety of classical, NP-hard combinatorial optimization problems. It describes how the network is…

无序系统与神经网络 · 物理学 2023-01-03 Stefan Boettcher

This paper presents the results of an experimental study of graph partitioning. We describe a new heuristic technique, path optimization, and its application to two variations of graph partitioning: the max_cut problem and the…

组合数学 · 数学 2016-09-06 Jonathan Berry , Mark Goldberg
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