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Shortest paths problems are subject to extensive studies in classic distributed models such as the CONGEST or Congested Clique. These models dictate how nodes may communicate in order to determine shortest paths in a distributed input…

数据结构与算法 · 计算机科学 2023-07-03 Philipp Schneider

Let $G$ be a directed graph with $n$ vertices and $m$ edges, embedded on a surface $S$, possibly with boundary, with first Betti number $\beta$. We consider the complexity of finding closed directed walks in $G$ that are either contractible…

计算几何 · 计算机科学 2019-03-22 Jeff Erickson , Yipu Wang

In this paper we study locally chordal graphs, i.e. graphs where every small-radius ball is chordal. We prove four characterizations of locally chordal graphs. Two are counterparts of the classic descriptions of chordal graphs via induced…

组合数学 · 数学 2025-12-23 Tara Abrishami , Paul Knappe , Jonas Kobler

Optimal curve methods provide a fundamental framework for tubular centerline tracking. Point-wise approaches, such as minimal paths, are theoretically elegant but often suffer from shortcut and short-branch combination problems in complex…

计算机视觉与模式识别 · 计算机科学 2026-01-23 Chong Di , Jinglin Zhang , Zhenjiang Li , Jean-Marie Mirebeau , Da Chen , Laurent D. Cohen

Providing closed and well-connected boundaries of coronary artery is essential to assist cardiologists in the diagnosis of coronary artery disease (CAD). Recently, several deep learning-based methods have been proposed for boundary…

This note proposes a general control approach, called vector-field guided constraint-following control, to solve the dynamics control problem of geometric path-following for a class of uncertain mechanical systems. More specifically, it…

系统与控制 · 电气工程与系统科学 2026-03-17 Hui Yin , Xiang Li , Yifan Liu , Weijia Yao

Our objective is to sample the node set of a large unknown graph via crawling, to accurately estimate a given metric of interest. We design a random walk on an appropriately defined weighted graph that achieves high efficiency by…

社会与信息网络 · 计算机科学 2011-03-29 M. Kurant , M. Gjoka , C. T. Butts , A. Markopoulou

We introduce the notion of coarse bottlenecking in graphs and coarse skeletons of graphs and show how bottlenecking guarantees that a skeleton resembles (up to quasi-isometry) the original graph. We show how these tools can be used to…

度量几何 · 数学 2024-10-23 Michael Bruner , Atish Mitra , Heidi Steiger

Let $G$ be a directed graph on finitely many vertices and edges, and assign a positive weight to each edge on $G$. Fix vertices $u$ and $v$ and consider the set of paths that start at $u$ and end at $v$, self-intersecting in any number of…

概率论 · 数学 2013-06-13 R. Edwards , E. Foxall , T. J. Perkins

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

A path system $\mathscr{P}$ in a graph $G=(V,E)$ is a collection of paths, with exactly one path between any two vertices in $V$. A path system is said to be consistent if it is closed under subpaths. We say that a path system $\mathscr{P}$…

组合数学 · 数学 2026-01-30 Daniel Cizma , Nati Linial

This paper presents a method for improved analysis of objects with an axial symmetry using X-ray Computed Tomography (CT). Cylindrical coordinates about an axis fixed to the object form the most natural base to check certain characteristics…

图像与视频处理 · 电气工程与系统科学 2020-10-06 Wannes Goethals , Marjolein Heyndrickx , Matthieu Boone

Precise motion control of underactuated surface vessels is a crucial task in various maritime applications. In this work, we develop a nonlinear motion control strategy for surface vessels inspired by the pursuit guidance philosophy. Any…

系统与控制 · 电气工程与系统科学 2026-03-03 Ram Milan Kumar Verma , Shashi Ranjan Kumar , Hemendra Arya

The main goal of this article is to introduce new quantitative characteristics of cycles in finite simple connected graphs and to establish relations of these characteristics with the stretch and spanning tree congestion of graphs. The main…

We consider the problem of finding a Hamiltonian path with precedence constraints in the form of a partial order on the vertex set. This problem is known as Partially Ordered Hamiltonian Path Problem (POHPP). Here, we study the complexity…

离散数学 · 计算机科学 2025-03-06 Jesse Beisegel , Katharina Klost , Kristin Knorr , Fabienne Ratajczak , Robert Scheffler

In this research, we investigate the subject of path-finding. A pruned version of visibility graph based on Candidate Vertices is formulated, followed by a new visibility check technique. Such combination enables us to quickly identify the…

人工智能 · 计算机科学 2018-10-30 Pei Cao , Zhaoyan Fan , Robert X. Gao , Jiong Tang

The efficient computation of shortest paths in complex networks is essential to face new challenges related to critical infrastructures such as a near real-time monitoring and control and the management of big size systems. In particular,…

物理与社会 · 物理学 2019-12-02 Carlo Giudicianni , Armando di Nardo , Gabriele Oliva , Antonio Scala , Manuel Herrera

The progress of image processing during recent years allows the measurement of pedestrian characteristics on a "microscopic" scale with low costs. However, density and flow are concepts of fluid mechanics defined for the limit of infinitely…

物理与社会 · 物理学 2015-05-14 Bernhard Steffen , Armin Seyfried

Path following controllers make the output of a control system approach and traverse a pre-specified path with no apriori time parametrization. In this paper we present a method for path following control design applicable to framed curves…

机器人学 · 计算机科学 2015-12-11 Rajan Gill , Dana Kulić , Christopher Nielsen

Finding small lesions is very challenging due to lack of noticeable features, severe class imbalance, as well as the size itself. One approach to improve small lesion segmentation is to reduce the region of interest and inspect it at a…

图像与视频处理 · 电气工程与系统科学 2022-08-01 Seung Yeon Shin , Thomas C. Shen , Stephen A. Wank , Ronald M. Summers