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We investigate the statistics of extremal path(s) (both the shortest and the longest) from the root to the bottom of a Cayley tree. The lengths of the edges are assumed to be independent identically distributed random variables drawn from a…

Statistical Mechanics · Physics 2009-10-31 Satya N. Majumdar , P. L. Krapivsky

Computing a (short) path between two vertices is one of the most fundamental primitives in graph algorithmics. In recent years, the study of paths in temporal graphs, that is, graphs where the vertex set is fixed but the edge set changes…

Discrete Mathematics · Computer Science 2021-05-27 Arnaud Casteigts , Anne-Sophie Himmel , Hendrik Molter , Philipp Zschoche

Minimising the longest travel distance for a group of mobile robots with interchangeable goals requires knowledge of the shortest length paths between all robots and goal destinations. Determining the exact length of the shortest paths in…

Robotics · Computer Science 2023-06-19 Tony A. Wood , Maryam Kamgarpour

Numerous problems of both theoretical and practical interest are related to finding shortest (or otherwise optimal) paths in networks, frequently in the presence of some obstacles or constraints. A somewhat related class of problems focuses…

Statistical Mechanics · Physics 2021-03-01 Ricardo Gutiérrez , Carlos Pérez-Espigares

Essential tasks in autonomous driving includes environment perception, detection and tracking, path planning and action control. This paper focus on path planning, which is one of the challenging task as it needs to find optimal path in…

Robotics · Computer Science 2024-02-20 Sugirtha T , Pranav S , Nitin Benjamin Dasiah , Sridevi M

Accessibility percolation is a new type of percolation problem inspired by evolutionary biology. To each vertex of a graph a random number is assigned and a path through the graph is called accessible if all numbers along the path are in…

Statistical Mechanics · Physics 2013-04-04 Stefan Nowak , Joachim Krug

Generically, in models of driven interacting particles the average speed of the particles decreases monotonically with increasing density. We propose a counter-example, motivated by the motion of ants in a trail, where the average speed of…

Statistical Mechanics · Physics 2007-05-23 Debashish Chowdhury , Vishwesha Guttal , Katsuhiro Nishinari , Andreas Schadschneider

The paper presents an exponential pheromone deposition approach to improve the performance of classical Ant System algorithm which employs uniform deposition rule. A simplified analysis using differential equations is carried out to study…

Artificial Intelligence · Computer Science 2016-11-15 Ayan Acharya , Deepyaman Maiti , Aritra Banerjee , R. Janarthanan , Amit Konar

Social insect colonies and ensemble machine learning methods represent two of the most successful examples of decentralized information processing in nature and computation respectively. Here we develop a rigorous mathematical framework…

Machine Learning · Statistics 2026-03-25 Ernest Fokoué , Gregory Babbitt , Yuval Levental

Many insects like ants communicate chemically via chemotaxis. This allows them to build large trail systems which in many respects are similar to human-build highway networks. Using a recently proposed stochastic cellular automaton model we…

Statistical Mechanics · Physics 2007-05-23 Andreas Schadschneider , Debashish Chowdhury , Alexander John , Katsuhiro Nishinari

We consider the problem of exploring an unknown tree with a team of $k$ initially colocated mobile agents. Each agent has limited energy and cannot, as a result, traverse more than $B$ edges. The goal is to maximize the number of nodes…

Data Structures and Algorithms · Computer Science 2018-02-20 Evangelos Bampas , Jérémie Chalopin , Shantanu Das , Jan Hackfeld , Christina Karousatou

A few of ant robots are dropped to a labirynth, formed by a square lattice with a small number of nodes removed. Ants move according to a deterministic algorithm designed to explore all corridors. Each ant remembers the shape of corridors…

Data Analysis, Statistics and Probability · Physics 2015-06-05 Janusz Malinowski , Krzysztof Kułakowski

Delay-tolerant networks (DTNs) are characterized by a possible absence of end-to-end communication routes at any instant. Still, connectivity can generally be established over time and space. The optimality of a temporal path (journey) in…

Distributed, Parallel, and Cluster Computing · Computer Science 2012-04-16 Arnaud Casteigts , Paola Flocchini , Bernard Mans , Nicola Santoro

In the present paper, we study algorithmic questions for the arc-intersection graph of directed paths on a tree. Such graphs are known to be perfect (proved by Monma and Wei in 1986). We present faster algorithms than all previously known…

Discrete Mathematics · Computer Science 2009-02-10 Olivier Durand de Gévigney , Frédéric Meunier , Christian Popa , Julien Reygner , Ayrin Romero

This article presents a new algorithm which is a modified version of the elite ant system (EAS) algorithm. The new version utilizes an effective criterion for escaping from the local optimum points. In contrast to the classical EAC…

Artificial Intelligence · Computer Science 2012-02-08 Majid Yousefikhoshbakht , Farzad Didehvar , Farhad Rahmati

Wildlife corridors are components of landscapes, which facilitate the movement of organisms and processes between areas of intact habitat, and thus provide landscape corridor. Corridors are thus regions within a given landscape that…

Quantitative Methods · Quantitative Biology 2016-03-08 Saurabh Shanu , Jobin Idiculla , Qamar Qureshi , Yadvendradev Jhala , Sudeepto Bhattacharya

Colonies of ants can collectively choose the best of several nests, even when many of the active ants who organize the move visit only one site. Understanding such a behavior can help us design efficient distributed decision making…

Distributed, Parallel, and Cluster Computing · Computer Science 2014-08-21 Mahnush Movahedi , Mahdi Zamani

We study parameterized versions of classical algorithms for computing shortest-path trees. This is most easily expressed in terms of tropical geometry. Applications include shortest paths in traffic networks with variable link travel times.

Combinatorics · Mathematics 2022-08-05 Michael Joswig , Benjamin Schröter

This paper introduces AntNet, a novel approach to the adaptive learning of routing tables in communications networks. AntNet is a distributed, mobile agents based Monte Carlo system that was inspired by recent work on the ant colony…

Artificial Intelligence · Computer Science 2011-05-30 G. Di Caro , M. Dorigo

Swarm intelligence is widely recognized as a powerful paradigm of self-organized optimization, with numerous examples of successful applications in distributed artificial intelligence. However, the role of physical interactions in the…

Physics and Society · Physics 2008-10-28 Karsten Peters , Anders Johansson , Audrey Dussutour , Dirk Helbing
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