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Top-k queries have been studied intensively in the database community and they are an important means to reduce query cost when only the "best" or "most interesting" results are needed instead of the full output. While some optimality…

数据库 · 计算机科学 2020-05-04 Nikolaos Tziavelis , Wolfgang Gatterbauer , Mirek Riedewald

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

Graphs have been widely used in many applications such as social networks, collaboration networks, and biological networks. One important graph analytics is to explore cohesive subgraphs in a large graph. Among several cohesive subgraphs…

数据库 · 计算机科学 2016-10-19 Yikai Zhang , Jeffrey Xu Yu , Ying Zhang , Lu Qin

This paper considers a joint pollution-routing and speed optimization problem (PRP-SO) where fuel costs and $\textit{CO}_2e$ emissions depend on the vehicle speed, arc payloads, and road grades. We present two methods, one approximate and…

最优化与控制 · 数学 2021-05-20 David Lai , Yasel Costa , Emrah Demir , Alexandre Florio , Tom Van Woensel

We study the k-route cut problem: given an undirected edge-weighted graph G=(V,E), a collection {(s_1,t_1),(s_2,t_2),...,(s_r,t_r)} of source-sink pairs, and an integer connectivity requirement k, the goal is to find a minimum-weight subset…

数据结构与算法 · 计算机科学 2015-03-19 Julia Chuzhoy , Yury Makarychev , Aravindan Vijayaraghavan , Yuan Zhou

We consider a practical top-k route search problem: given a collection of points of interest (POIs) with rated features and traveling costs between POIs, a user wants to find k routes from a source to a destination and limited in a cost…

社会与信息网络 · 计算机科学 2018-11-05 Hongwei Liang , Ke Wang

Sparse Knowledge Graphs (KGs) are commonly encountered in real-world applications, where knowledge is often incomplete or limited. Sparse KG reasoning, the task of inferring missing knowledge over sparse KGs, is inherently challenging due…

计算与语言 · 计算机科学 2025-12-16 Yucan Guo , Saiping Guan , Miao Su , Zeya Zhao , Xiaolong Jin , Jiafeng Guo , Xueqi Cheng

In this paper we present an algorithm for optimal processing of time-dependent sequenced route queries in road networks, i.e., given a road network where the travel time over an edge is time-dependent and a given ordered list of categories…

In the Upper Degree-Constrained Partial Orientation problem we are given an undirected graph $G=(V,E)$, together with two degree constraint functions $d^-,d^+ : V \to \mathbb{N}$. The goal is to orient as many edges as possible, in such a…

数据结构与算法 · 计算机科学 2014-10-13 Marek Cygan , Tomasz Kociumaka

Finding the optimal ordering of k-subsets with respect to an objective function is known to be an extremely challenging problem. In this paper we introduce a new objective for this task, rooted in the problem of star identification on…

最优化与控制 · 数学 2017-05-19 Joerg H. Mueller , Carlos Sánchez-Sánchez , Luís F. Simões , Dario Izzo

Understanding the local structure of a graph provides valuable insights about the underlying phenomena from which the graph has originated. Sampling and examining k-subgraphs is a widely used approach to understand the local structure of a…

数据结构与算法 · 计算机科学 2020-01-28 Ryuta Matsuno , Aristides Gionis

Top-k Nearest Neighbors (kNN) problem on road network has numerous applications on location-based services. As direct search using the Dijkstra's algorithm results in a large search space, a plethora of complex-index-based approaches have…

数据库 · 计算机科学 2024-08-13 Yiqi Wang , Long Yuan , Wenjie Zhang , Xuemin Lin , Zi Chen , Qing Liu

Given a metric $(V,d)$ and a $\textsf{root} \in V$, the classic $\textsf{$k$-TSP}$ problem is to find a tour originating at the $\textsf{root}$ of minimum length that visits at least $k$ nodes in $V$. In this work, motivated by applications…

数据结构与算法 · 计算机科学 2019-11-07 Haotian Jiang , Jian Li , Daogao Liu , Sahil Singla

We study the problem of optimal leader selection in consensus networks under two performance measures (1) formation coherence when subject to additive perturbations, as quantified by the steady-state variance of the deviation from the…

最优化与控制 · 数学 2016-04-26 Stacy Patterson , Neil McGlohon , Kirill Dyagilev

The top-k operation, i.e., finding the k largest or smallest elements from a collection of scores, is an important model component, which is widely used in information retrieval, machine learning, and data mining. However, if the top-k…

机器学习 · 计算机科学 2020-02-19 Yujia Xie , Hanjun Dai , Minshuo Chen , Bo Dai , Tuo Zhao , Hongyuan Zha , Wei Wei , Tomas Pfister

Smart city has been consider the wave of the future and the route recommendation in networks is a fundamental problem in it. Most existing approaches for the shortest route problem consider that there is only one kind of cost in networks.…

数据库 · 计算机科学 2020-04-28 Yajun Yang , Hang Zhang , Hong Gao , Qinghua Hu , Xin Wang

Directed graphs provide more subtle and precise modelling tools for optimization in road networks than simple graphs. In particular, they are more suitable in the context of alternative fuel vehicles and new automotive technologies, like…

离散数学 · 计算机科学 2024-09-09 Lukas Dijkstra , Andrei Gagarin , Padraig Corcoran , Rhyd Lewis

With the widespread use of GPS-enabled mobile devices, an unprecedented amount of trajectory data is becoming available from various sources such as Bikely, GPS-wayPoints, and Uber. The rise of innovative transportation services and recent…

Time-Dependent Constrained Path Optimization (TD-CPO) takes the following input: (i) time-dependent (TD) road network, (ii) source ($s$), (iii) destination ($d$), (iv) departure time ($t$) and, (v) budget ($\mathcal{B}$). In TD graph, each…

其他计算机科学 · 计算机科学 2024-09-27 Kousik Kumar Dutta , Venkata M. V. Gunturi

The Max-k-Cut problem is a fundamental combinatorial optimization challenge that generalizes the classic NP-complete Max-Cut problem. While relaxation techniques are commonly employed to tackle Max-k-Cut, they often lack guarantees of…

最优化与控制 · 数学 2025-06-12 Yeqing Qiu , Ye Xue , Akang Wang , Yiheng Wang , Qingjiang Shi , Zhi-Quan Luo