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Graph burning is a process of information spreading through the network by an agent in discrete steps. The problem is to find an optimal sequence of nodes which have to be given information so that the network is covered in least number of…

Data Structures and Algorithms · Computer Science 2020-08-21 Rahul Kumar Gautam , Anjeneya Swami Kare , S. Durga Bhavani

Over the past decades, the increase in both frequency and intensity of large-scale wildfires due to climate change has emerged as a significant natural threat. The pressing need to design resilient landscapes capable of withstanding such…

Wildland fires pose a terrifying natural hazard, underscoring the urgent need to develop data-driven and physics-informed digital twins for wildfire prevention, monitoring, intervention, and response. In this direction of research, this…

Machine Learning · Computer Science 2024-11-18 Konstantinos Vogiatzoglou , Costas Papadimitriou , Vasilis Bontozoglou , Konstantinos Ampountolas

Graph burning is a deterministic, discrete-time process that models how influence or contagion spreads in a graph. Associated to each graph is its burning number, which is a parameter that quantifies how quickly the influence spreads. We…

Combinatorics · Mathematics 2020-09-23 Anthony Bonato

The aim of this research is to review the state of computer vision as applied to combatting forest fires. My motivation to research this topic comes from the urgency with which new participants and stakeholders require guidance in this…

Computer Vision and Pattern Recognition · Computer Science 2022-12-09 Ryan Marinelli

Mobile guards on the vertices of a graph are used to defend it against attacks on either its vertices or its edges. Various models for this problem have been proposed. In this survey we describe a number of these models with particular…

Combinatorics · Mathematics 2015-04-03 William F. Klostermeyer , Christina M. Mynhardt

Wildfire prediction has become increasingly crucial due to the escalating impacts of climate change. Traditional CNN-based wildfire prediction models struggle with handling missing oceanic data and addressing the long-range dependencies…

Machine Learning · Computer Science 2024-02-13 Dayou Chen , Sibo Cheng , Jinwei Hu , Matthew Kasoar , Rossella Arcucci

This paper presents the development of a new continuous forest fire model implemented as a weighted local small-world network approach. This new approach was designed to simulate fire patterns in real, heterogeneous landscapes. The wildland…

Atmospheric and Oceanic Physics · Physics 2013-07-02 F. Aguayo , A. Fuentes , J. -P. Clerc , B. Porterie

Graph modeling allows numerous security problems to be tackled in a general way, however, little work has been done to understand their ability to withstand adversarial attacks. We design and evaluate two novel graph attacks against a…

Cryptography and Security · Computer Science 2017-08-31 Yizheng Chen , Yacin Nadji , Athanasios Kountouras , Fabian Monrose , Roberto Perdisci , Manos Antonakakis , Nikolaos Vasiloglou

Fire disasters typically result in lot of loss to life and property. It is therefore imperative that precise, fast, and possibly portable solutions to detect fire be made readily available to the masses at reasonable prices. There have been…

Computer Vision and Pattern Recognition · Computer Science 2019-09-05 Arpit Jadon , Mohd. Omama , Akshay Varshney , Mohammad Samar Ansari , Rishabh Sharma

Firefighting is a complex, yet low automated task. To mitigate ergonomic and safety related risks on the human operators, robots could be deployed in a collaborative approach. To allow human-robot teams in firefighting, important basics are…

Robotics · Computer Science 2023-06-06 Nils Mandischer , Frederik Schicks , Burkhard Corves

The explosive growth of spatial data and extensive utilization of spatial databases emphasize the necessity for the automated discovery of spatial knowledge. In modern times, spatial data mining has emerged as an area of voluminous…

Other Computer Science · Computer Science 2010-02-11 K. Angayarkkani , N. Radhakrishnan

In this paper, we study the Online Network Formation Problem (ONFP) for a mobile multi-robot system. Consider a group of robots with a bounded communication range operating in a large open area. One of the robots has a piece of information…

Robotics · Computer Science 2019-10-07 Selim Engin , Volkan Isler

Given a graph $G$, the optimization version of the graph burning problem seeks for a sequence of vertices, $(u_1,u_2,...,u_p) \in V(G)^p$, with minimum $p$ and such that every $v \in V(G)$ has distance at most $p-i$ to some vertex $u_i$.…

Discrete Mathematics · Computer Science 2025-03-07 Jesús García-Díaz , José Alejandro Cornejo-Acosta , Joel Trejo Sánchez

Online computation is a concept to model uncertainty where not all information on a problem instance is known in advance. An online algorithm receives requests which reveal the instance piecewise and has to respond with irrevocable…

Computational Complexity · Computer Science 2023-11-28 Janosch Fuchs , Christoph Grüne , Tom Janßen

The 2019-20 Australia bushfire incurred numerous economic losses and significantly affected the operations of power systems. A power station or transmission line can be significantly affected due to bushfires, leading to an increase in…

Systems and Control · Electrical Eng. & Systems 2025-02-24 Jianyu Xu , Qiuzhuang Sun , Yang Yang , Huadong Mo , Daoyi Dong

Graph burning is a natural discrete graph algorithm inspired by the spread of social contagion. Despite its simplicity, some open problems remain steadfastly unsolved, notably the burning number conjecture, which says that every connected…

Combinatorics · Mathematics 2024-09-04 Ta Sheng Tan , Wen Chean Teh

In this paper, we consider the problem of maximizing the spread of influence through a social network. Given a graph with a threshold value~$thr(v)$ attached to each vertex~$v$, the spread of influence is modeled as follows: A vertex~$v$…

Data Structures and Algorithms · Computer Science 2014-08-19 Cristina Bazgan , Morgan Chopin , André Nichterlein , Florian Sikora

In this paper, we share our approach to real-time segmentation of fire perimeter from aerial full-motion infrared video. We start by describing the problem from a humanitarian aid and disaster response perspective. Specifically, we explain…

Computer Vision and Pattern Recognition · Computer Science 2019-10-16 Jigar Doshi , Dominic Garcia , Cliff Massey , Pablo Llueca , Nicolas Borensztein , Michael Baird , Matthew Cook , Devaki Raj

We prove that any Cayley graph $G$ with degree $d$ polynomial growth does not satisfy $\{f(n)\}$-containment for any $f=o(n^{d-2})$. This settles the asymptotic behaviour of the firefighter problem on such graphs as it was known that…

Group Theory · Mathematics 2021-06-04 Gideon Amir , Rangel Baldasso , Gady Kozma