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We introduce learning augmented algorithms to the online graph coloring problem. Although the simple greedy algorithm FirstFit is known to perform poorly in the worst case, we are able to establish a relationship between the structure of…

Data Structures and Algorithms · Computer Science 2023-12-04 Antonios Antoniadis , Hajo Broersma , Yang Meng

A set $S$ of vertices of a graph is a defensive alliance if, for each element of $S$, the majority of its neighbours are in $S$. We study the parameterized complexity of the Defensive Alliance problem, where the aim is to find a minimum…

Computational Complexity · Computer Science 2021-11-11 Ajinkya Gaikwad , Soumen Maity

Forest fire prediction involves estimating the likelihood of fire ignition or related risk levels in a specific area over a defined time period. With climate change intensifying fire behavior and frequency, accurate prediction has become…

Machine Learning · Computer Science 2026-04-16 Nicolas Caron , Christophe Guyeux , Hassan Noura , Benjamin Aynes

Distributed online optimization and game have been increasingly researched in the last decade, mostly motivated by its wide applications in sensor networks, robotics (e.g., distributed target tracking and formation control), smart grids,…

Machine Learning · Computer Science 2023-01-24 Xiuxian Li , Lihua Xie , Na Li

Applications of drones in emergency response, like firefighting, have been promoted in the past decade. As the autonomy of drones continues to improve, the ways in which they are integrated into firefighting teams and their impact on crews…

Human-Computer Interaction · Computer Science 2024-05-17 Moyi Li , Dzmitry Katsiuba , Mateusz Dolata , Gerhard Schwabe

We consider the online buffer minimization in multiprocessor systems with conflicts problem (in short, the buffer minimization problem) in the recently introduced flow model. In an online fashion, workloads arrive on some of the $n$…

Data Structures and Algorithms · Computer Science 2025-11-26 Niklas Haas , Sören Schmitt , Rob van Stee

Research seeks to apply Artificial Intelligence (AI) to scale and extend the capabilities of human operators to defend networks. A fundamental problem that hinders the generalization of successful AI approaches -- i.e., beating humans at…

Cryptography and Security · Computer Science 2021-04-22 Andres Molina-Markham , Ransom K. Winder , Ahmad Ridley

Graph coloring, also known as vertex coloring, considers the problem of assigning colors to the nodes of a graph such that adjacent nodes do not share the same color. The optimization version of the problem concerns the minimization of the…

Artificial Intelligence · Computer Science 2010-11-25 Hugo Hernández , Christian Blum

In this paper, we show an improved bound and new algorithm for the online square-into-square packing problem. This two-dimensional packing problem involves packing an online sequence of squares into a unit square container without any two…

Computational Geometry · Computer Science 2014-01-23 Brian Brubach

Resilient operation of the power system during ongoing wildfires is challenging because of the uncertain ways in which the fires impact the electric power infrastructure (multiple arc-faults, complete melt-down). To address this challenge,…

Systems and Control · Electrical Eng. & Systems 2024-04-22 Satyaprajna Sahoo , Anamitra Pal

Increasing volatilities within power transmission and distribution force power grid operators to amplify their use of communication infrastructure to monitor and control their grid. The resulting increase in communication creates a larger…

Cryptography and Security · Computer Science 2021-10-06 Tim Krause , Raphael Ernst , Benedikt Klaer , Immanuel Hacker , Martin Henze

Fire patterns, consisting of fire effects that offer insights into fire behavior and origin, are traditionally classified based on investigators' visual observations, leading to subjective interpretations. This study proposes a framework…

Computer Vision and Pattern Recognition · Computer Science 2025-04-11 Pengkun Liu , Shuna Ni , Stanislav I. Stoliarov , Pingbo Tang

Flame graphs are a popular way of representing profiling data. In this paper we propose a possible mathematical definition of flame graphs. In doing so, we gain some interesting algebraic properties almost for free, which in turn allow us…

Software Engineering · Computer Science 2023-02-22 Gabriele N. Tornetta

Optimal power flow (OPF) is a critical optimization problem that allocates power to the generators in order to satisfy the demand at a minimum cost. Solving this problem exactly is computationally infeasible in the general case. In this…

Systems and Control · Electrical Eng. & Systems 2022-10-18 Damian Owerko , Fernando Gama , Alejandro Ribeiro

Source detection (SD) is the task of finding the origin of a spreading process in a network. Algorithms for SD help us combat diseases, misinformation, pollution, and more, and have been studied by physicians, physicists, sociologists, and…

Data Structures and Algorithms · Computer Science 2025-08-14 Ben Bals , Michelle Döring , Nicolas Klodt , George Skretas

Over the past couple of decades, the number of wildfires and area of land burned around the world has been steadily increasing, partly due to climatic changes and global warming. Therefore, there is a high probability that more people will…

The integration of intermittent and stochastic renewable energy resources requires increased flexibility in the operation of the electric grid. Storage, broadly speaking, provides the flexibility of shifting energy over time; network, on…

Optimization and Control · Mathematics 2014-11-05 Junjie Qin , Yinlam Chow , Jiyan Yang , Ram Rajagopal

We introduce a new graph parameter called the burning number, inspired by contact processes on graphs such as graph bootstrap percolation, and graph searching paradigms such as Firefighter. The burning number measures the speed of the…

Combinatorics · Mathematics 2015-07-24 Anthony Bonato , Jeannette Janssen , Elham Roshanbin

We introduce the $L_p$ Traveling Salesman Problem ($L_p$-TSP), given by an origin, a set of destinations, and underlying distances. The objective is to schedule a destination visit sequence for a traveler of unit speed to minimize the…

Data Structures and Algorithms · Computer Science 2021-07-23 Majid Farhadi , Alejandro Toriello , Prasad Tetali

This article defines new methods for unsupervised fire region segmentation and fire threat detection from video stream. Fire in control serves a number of purposes to human civilization, but it could simultaneously be a threat once its…

Computer Vision and Pattern Recognition · Computer Science 2021-01-22 Debarati B. Chakrabortya , Vinay Detania , Shah Parshv Jigneshkumar