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We propose an effective algorithm that enumerates (and actually finds) all 3-edge colorings and Hamiltonian cycles in a cubic graph. The idea is to make a preliminary run that separates the vertices into two types: ``rigid'' (such that the…

组合数学 · 数学 2009-09-29 V. Ejov , N. Pugacheva , S. Rossomakhine , P. Zograf

Rendezvous aims at gathering all robots at a specific location, which is an important collaborative behavior for multi-robot systems. However, in an unknown environment, it is challenging to achieve rendezvous. Previous researches mainly…

机器人学 · 计算机科学 2024-12-04 Kun Song , Gaoming Chen , Wenhang Liu , Zhenhua Xiong

A hole is a chordless cycle with at least four vertices. A hole is odd if it has an odd number of vertices. A dart is a graph which vertices $a, b, c, d, e$ and edges $ab, bc, bd, be, cd, de$. Dart-free graphs have been actively studied in…

组合数学 · 数学 2025-04-30 Chính T. Hoàng

Automated vehicles promise to enhance transportation safety and efficiency. However, ensuring their reliability in real-world conditions remains challenging, particularly due to rare and unexpected situations known as edge cases. While…

The question of how "smart" active agents, like insects, microorganisms, or future colloidal robots need to steer to optimally reach or discover a target, such as an odor source, food, or a cancer cell in a complex environment has recently…

软凝聚态物质 · 物理学 2023-04-05 Mahdi Nasiri , Hartmut Löwen , Benno Liebchen

We present Manifold Alignment Determination (MAD), an algorithm for learning alignments between data points from multiple views or modalities. The approach is capable of learning correspondences between views as well as correspondences…

机器学习 · 统计学 2017-01-13 Andreas Damianou , Neil D. Lawrence , Carl Henrik Ek

Distributed evacuation of mobile robots is a recent development. We consider the evacuation problem of two robots which are initially located at the center of a unit disk. Both the robots have to evacuate the disk through the exits situated…

分布式、并行与集群计算 · 计算机科学 2017-08-15 Debasish Pattanayak , H. Ramesh , Partha Sarathi Mandal , Stefan Schmid

The survey provides an overview of the developing area of parameterized algorithms for graph modification problems. We concentrate on edge modification problems, where the task is to change a small number of adjacencies in a graph in order…

数据结构与算法 · 计算机科学 2020-02-19 Christophe Crespelle , Pål Grønås Drange , Fedor V. Fomin , Petr A. Golovach

The problem of planning for a robot that operates in environments containing a large number of objects, taking actions to move itself through the world as well as to change the state of the objects, is known as task and motion planning…

To aid humans in everyday tasks, robots need to know which objects exist in the scene, where they are, and how to grasp and manipulate them in different situations. Therefore, object recognition and grasping are two key functionalities for…

机器人学 · 计算机科学 2022-12-07 Hamidreza Kasaei , Sha Luo , Remo Sasso , Mohammadreza Kasaei

A simple but empirically efficient heuristic algorithm for the edge-coloring of graphs is presented. Its basic idea is the displacement of "conflicts" (repeated colors in the edges incident to a vertex) along paths of adjacent vertices…

组合数学 · 数学 2012-10-19 M. A. Fiol , J. Vilaltella

Network alignment generalizes and unifies several approaches for forming a matching or alignment between the vertices of two graphs. We study a mathematical programming framework for network alignment problem and a sparse variation of it…

最优化与控制 · 数学 2011-11-03 Mohsen Bayati , David F. Gleich , Amin Saberi , Ying Wang

Tiling models are classical statistical models in which different geometric shapes, the tiles, are packed together such that they cover space completely. In this paper we discuss a class of two-dimensional tiling models in which the tiles…

统计力学 · 物理学 2015-06-24 Bernard Nienhuis

In this work we consider the problem of gathering autonomous robots in the plane. In particular, we consider non-transparent unit-disc robots (i.e., fat) in an asynchronous setting. Vision is the only mean of coordination. Using a…

分布式、并行与集群计算 · 计算机科学 2012-09-19 Chrysovalandis Agathangelou , Chryssis Georgiou , Marios Mavronicolas

It has long been suggested that the biological brain operates at some critical point between two different phases, possibly order and chaos. Despite many indirect empirical evidence from the brain and analytical indication on simple neural…

机器学习 · 计算机科学 2020-10-30 Ling Feng , Lin Zhang , Choy Heng Lai

The notion of separating automata was introduced by Bojanczyk and Czerwinski for understanding the first quasipolynomial time algorithm for parity games. In this paper we show that separating automata is a powerful tool for constructing…

计算机科学与博弈论 · 计算机科学 2021-09-20 Ashwani Anand , Nathanaël Fijalkow , Aliénor Goubault-Larrecq , Jérôme Leroux , Pierre Ohlmann

Over the past few years, deep learning techniques have achieved tremendous success in many visual understanding tasks such as object detection, image segmentation, and caption generation. Despite this thriving in computer vision and natural…

计算机视觉与模式识别 · 计算机科学 2019-03-26 Anh Nguyen

We present a deterministic linear-time algorithm for finding an odd cycle through two specified vertices in an undirected graph. This is shown in a generalized form as follows: Let $\Gamma$ be any group in which every element is of order at…

数据结构与算法 · 计算机科学 2026-04-28 Takumi Kano , Yutaro Yamaguchi

Simultaneous localisation and mapping (SLAM) is the problem of autonomous robots to construct or update a map of an undetermined unstructured environment while simultaneously estimate the pose in it. The current trend towards self-driving…

机器人学 · 计算机科学 2023-02-14 B. Udugama

Robotics can be defined as the connection of perception to action. Taking this further, this project aims to drive a robot using an automated computer vision embedded system, connecting the robot's vision to its behavior. In order to…

机器人学 · 计算机科学 2021-01-14 Beatriz Arruda Asfora