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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

For given a pair of nodes in a graph, the minimum non-separating path problem looks for a minimum weight path between the two nodes such that the remaining graph after removing the path is still connected. The balanced connected bipartition…

数据结构与算法 · 计算机科学 2014-02-11 Bang Ye Wu

The shortest path problem in graphs is a cornerstone of AI theory and applications. Existing algorithms generally ignore edge weight computation time. We present a generalized framework for weighted directed graphs, where edge weight can be…

数据结构与算法 · 计算机科学 2024-02-20 Eyal Weiss , Ariel Felner , Gal A. Kaminka

A path or a polygonal domain is C-oriented if the orientations of its edges belong to a set of C given orientations; this is a generalization of the notable rectilinear case (C = 2). We study exact and approximation algorithms for…

计算几何 · 计算机科学 2013-02-14 Joseph S. B. Mitchell , Valentin Polishchuk , Mikko Sysikaski

We investigate the Minimum Eccentricity Shortest Path problem in some structured graph classes. It asks for a given graph to find a shortest path with minimum eccentricity. Although it is NP-hard in general graphs, we demonstrate that a…

离散数学 · 计算机科学 2015-11-17 Feodor F. Dragan , Arne Leitert

In a network, the shortest paths between nodes are of great importance as they allow the fastest and strongest interaction between nodes. However measuring the shortest paths between all nodes in a large network is computationally…

应用统计 · 统计学 2018-06-12 Minhui Zheng , Bruce D. Spencer

Consider a setting where possibly sensitive information sent over a path in a network is visible to every {neighbor} of the path, i.e., every neighbor of some node on the path, thus including the nodes on the path itself. The exposure of a…

数据结构与算法 · 计算机科学 2012-12-27 Shiri Chechik , M. P. Johnson , Merav Parter , David Peleg

One of the most popular approaches to multi-target tracking is tracking-by-detection. Current min-cost flow algorithms which solve the data association problem optimally have three main drawbacks: they are computationally expensive, they…

计算机视觉与模式识别 · 计算机科学 2014-12-30 Philip Lenz , Andreas Geiger , Raquel Urtasun

The edges of a graph are assigned weights and passage times which are assumed to be positive integers. We present a parallel algorithm for finding the shortest path whose total weight is smaller than a pre-determined value. In each step the…

最优化与控制 · 数学 2017-12-14 Ivan Matic

The shortest path problem is among the most fundamental combinatorial optimization problems to answer reachability queries. It is hard to deter-mine which vertices or edges are visited during shortest path traversals. In this paper, we…

社会与信息网络 · 计算机科学 2014-12-30 Waqas Nawaz , Kifayat Ullah Khan , Young-Koo Lee

Given a graph, the shortest-path problem requires finding a sequence of edges with minimum cumulative length that connects a source vertex to a target vertex. We consider a variant of this classical problem in which the position of each…

离散数学 · 计算机科学 2024-05-10 Tobia Marcucci , Jack Umenberger , Pablo A. Parrilo , Russ Tedrake

Consider a general path planning problem of a robot on a graph with edge costs, and where each node has a Boolean value of success or failure (with respect to some task) with a given probability. The objective is to plan a path for the…

机器人学 · 计算机科学 2018-08-22 Arjun Muralidharan , Yasamin Mostofi

The shortest-path distance is a fundamental concept in graph analytics and has been extensively studied in the literature. In many real-world applications, quality constraints are naturally associated with edges in the graphs and finding…

数据库 · 计算机科学 2022-11-17 You Peng , Zhuo Ma , Wenjie Zhang , Xuemin Lin , Ying Zhang , Xiaoshuang Chen

Organ segmentation is a prerequisite for a computer-aided diagnosis (CAD) system to detect pathologies and perform quantitative analysis. For anatomically high-variability abdominal organs such as the pancreas, previous segmentation works…

计算机视觉与模式识别 · 计算机科学 2014-08-01 Amal Farag , Le Lu , Evrim Turkbey , Jiamin Liu , Ronald M. Summers

Several route choice models developed in the literature were based on a relatively small number of observations. With the extensive use of tracking devices in recent surveys, there is a possibility to obtain insights with respect to the…

物理与社会 · 物理学 2020-06-11 Rui Yao , Shlomo Bekhor

The minimum network flow algorithm is widely used in multi-target tracking. However, the majority of the present methods concentrate exclusively on minimizing cost functions whose values may not indicate accurate solutions under occlusions.…

计算机视觉与模式识别 · 计算机科学 2023-11-07 Huining Li , Yalong Jiang , Xianlin Zeng , Feng Li , Zhipeng Wang

Shortest path (SP) computation is the building block for many location-based services, and achieving high throughput SP query processing with real-time response is crucial for those services. However, existing solutions can hardly handle…

数据库 · 计算机科学 2025-02-18 Xinjie Zhou , Mengxuan Zhang , Lei Li , Xiaofang Zhou

Due to the computational complexity of finding almost shortest simple paths, we propose that identifying a larger collection of (nonbacktracking) paths is more efficient than finding almost shortest simple paths on positively weighted…

数据结构与算法 · 计算机科学 2017-11-08 David Burstein , Leigh Metcalf

We study the problem of computing shortest path or distance between two query vertices in a graph, which has numerous important applications. Quite a number of indexes have been proposed to answer such distance queries. However, all of…

数据库 · 计算机科学 2012-11-13 Ada Wai-Chee Fu , Huanhuan Wu , James Cheng , Shumo Chu , Raymond Chi-Wing Wong

In the Disjoint Paths problem, the input consists of an $n$-vertex graph $G$ and a collection of $k$ vertex pairs, $\{(s_i,t_i)\}_{i=1}^k$, and the objective is to determine whether there exists a collection $\{P_i\}_{i=1}^k$ of $k$…

数据结构与算法 · 计算机科学 2020-08-20 Daniel Lokshtanov , Saket Saurabh , Meirav Zehavi