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Moving an autonomous agent through an unknown environment is one of the crucial problems for robotics and network analysis. Therefore, it received a lot of attention in the last decades and was analyzed in many different settings. The graph…

计算复杂性 · 计算机科学 2018-04-23 Hans-Joachim Böckenhauer , Janosch Fuchs , Walter Unger

We consider the problem of graph searching with prediction recently introduced by Banerjee et al. (2022). In this problem, an agent, starting at some vertex $r$ has to traverse a (potentially unknown) graph $G$ to find a hidden goal node…

数据结构与算法 · 计算机科学 2024-03-19 Adela Frances DePavia , Erasmo Tani , Ali Vakilian

Graph machine learning has been extensively studied in both academic and industry. However, as the literature on graph learning booms with a vast number of emerging methods and techniques, it becomes increasingly difficult to manually…

机器学习 · 计算机科学 2024-05-06 Xin Wang , Ziwei Zhang , Haoyang Li , Wenwu Zhu

We study a number of graph exploration problems in the following natural scenario: an algorithm starts exploring an undirected graph from some seed node; the algorithm, for an arbitrary node $v$ that it is aware of, can ask an oracle to…

数据结构与算法 · 计算机科学 2017-10-25 Flavio Chierichetti , Shahrzad Haddadan

We consider the problem of searching for a node on a labelled random graph according to a greedy algorithm that selects a route to the desired node using metric information on the graph. Motivated by peer-to-peer networks two types of…

统计力学 · 物理学 2013-05-29 David Lancaster

Graph clustering, which aims to divide nodes in the graph into several distinct clusters, is a fundamental yet challenging task. Benefiting from the powerful representation capability of deep learning, deep graph clustering methods have…

机器学习 · 计算机科学 2023-09-13 Yue Liu , Jun Xia , Sihang Zhou , Xihong Yang , Ke Liang , Chenchen Fan , Yan Zhuang , Stan Z. Li , Xinwang Liu , Kunlun He

Grouping the nodes of a graph into clusters is a standard technique for studying networks. We study a problem where we are given a directed network and are asked to partition the graph into a sequence of coherent groups. We assume that…

社会与信息网络 · 计算机科学 2025-12-08 Iiro Kumpulainen , Nikolaj Tatti

In this paper, we hope to bring closer graph theory and consensus algorithms. Firstly, we give a brief introduction to graph theory by listing a concise definition. Then we analyze and visualize some commonly used graphs. Secondly, we…

离散数学 · 计算机科学 2021-01-27 Shen Zheng

There has been significant recent interest in graph-based nearest neighbor search methods, many of which are centered on the construction of navigable graphs over high-dimensional point sets. A graph is navigable if we can successfully move…

数据结构与算法 · 计算机科学 2025-03-18 Haya Diwan , Jinrui Gou , Cameron Musco , Christopher Musco , Torsten Suel

The directed graph reachability problem takes as input an $n$-vertex directed graph $G=(V,E)$, and two distinguished vertices $s$ and $t$. The problem is to determine whether there exists a path from $s$ to $t$ in $G$. This is a canonical…

数据结构与算法 · 计算机科学 2019-09-23 Ryo Ashida , Kotaro Nakagawa

We consider the problem of embedding the nodes of a hypergraph into Euclidean space under the assumption that the interactions arose through closeness to unknown hyperedge centres. In this way, we tackle the inverse problem associated with…

社会与信息网络 · 计算机科学 2025-09-11 Francesco Zigliotto , Desmond J. Higham

The locality of a graph problem is the smallest distance $T$ such that each node can choose its own part of the solution based on its radius-$T$ neighborhood. In many settings, a graph problem can be solved efficiently with a distributed or…

分布式、并行与集群计算 · 计算机科学 2021-12-14 Yi-Jun Chang , Jan Studený , Jukka Suomela

The history of artificial intelligence (AI) has witnessed the significant impact of high-quality data on various deep learning models, such as ImageNet for AlexNet and ResNet. Recently, instead of designing more complex neural architectures…

机器学习 · 计算机科学 2024-11-22 Yuxin Guo , Deyu Bo , Cheng Yang , Zhiyuan Lu , Zhongjian Zhang , Jixi Liu , Yufei Peng , Chuan Shi

The paper focuses on two problems: (i) how to orient the edges of an undirected graph in order to maximize the number of ordered vertex pairs (x,y) such that there is a directed path from x to y, and (ii) how to orient the edges so as to…

数据结构与算法 · 计算机科学 2015-06-02 S. L. Hakimi , E. Schmeichel , Neal E. Young

Many optimization, inference and learning tasks can be accomplished efficiently by means of decentralized processing algorithms where the network topology (i.e., the graph) plays a critical role in enabling the interactions among…

多智能体系统 · 计算机科学 2020-08-06 Vincenzo Matta , Augusto Santos , Ali H. Sayed

Motivated by various data science applications including de-anonymizing user identities in social networks, we consider the graph alignment problem, where the goal is to identify the vertex/user correspondence between two correlated graphs.…

信息论 · 计算机科学 2024-03-13 Ning Zhang , Ziao Wang , Weina Wang , Lele Wang

In the last decade or so, we have witnessed deep learning reinvigorating the machine learning field. It has solved many problems in the domains of computer vision, speech recognition, natural language processing, and various other tasks…

机器学习 · 计算机科学 2021-09-09 Lilapati Waikhom , Ripon Patgiri

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

One of the most fundamental problems in computer science is the reachability problem: Given a directed graph and two vertices s and t, can s reach t via a path? We revisit existing techniques and combine them with new approaches to support…

数据结构与算法 · 计算机科学 2021-02-02 Kathrin Hanauer , Christian Schulz , Jonathan Trummer

Processing large complex networks recently attracted considerable interest. Complex graphs are useful in a wide range of applications from technological networks to biological systems like the human brain. Sometimes these networks are…

数据结构与算法 · 计算机科学 2019-12-03 Christian Schulz
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