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We are concerned with a distributed approach to solve multi-cluster games arising in multi-agent systems. In such games, agents are separated into distinct clusters. The agents belonging to the same cluster cooperate with each other to…

Systems and Control · Electrical Eng. & Systems 2022-03-14 Jan Zimmermann , Tatiana Tatarenko , Volker Willert , Jürgen Adamy

Numberlink is a puzzle game in which players are given a grid with nodes marked with a natural number, $n$, and asked to create $n$ connections with neighboring nodes. Connections can only be made with top, bottom, left and right neighbors,…

General Mathematics · Mathematics 2022-10-07 Andrea Arauza Rivera , Matt McClinton , David Smith

We analyze the computational complexity of several new variants of edge-matching puzzles. First we analyze inequality (instead of equality) constraints between adjacent tiles, proving the problem NP-complete for strict inequalities but…

We present a framework for deformable object manipulation that interleaves planning and control, enabling complex manipulation tasks without relying on high-fidelity modeling or simulation. The key question we address is when should we use…

Robotics · Computer Science 2020-08-31 Dale McConachie , Andrew Dobson , Mengyao Ruan , Dmitry Berenson

Combinatorial games lead to several interesting, clean problems in algorithms and complexity theory, many of which remain open. The purpose of this paper is to provide an overview of the area to encourage further research. In particular, we…

Computational Complexity · Computer Science 2009-09-25 Erik D. Demaine , Robert A. Hearn

Triple patterning lithography (TPL) has been recognized as one of the most promising solutions to print critical features in advanced technology nodes. A critical challenge within TPL is the effective assignment of the layout to masks.…

Other Computer Science · Computer Science 2026-01-28 Chengkai Wang , Weiqing Ji , Mingyang Kou , Zhiyang Chen , Fei Li , Hailong Yao

Operating vehicles in adversarial environments require non-conventional planning techniques. A two-player, zero-sum non-cooperative game is introduced, which is solved via a linear program. An extension is proposed to construct networks…

Robotics · Computer Science 2012-08-29 Emmanuel Boidot , Eric Feron

Parity games play an important role for LTL synthesis as evidenced by recent breakthroughs on LTL synthesis, which rely in part on parity game solving. Yet state space explosion remains a major issue if we want to scale to larger systems or…

Logic in Computer Science · Computer Science 2020-09-24 Oebele Lijzenga , Tom van Dijk

Games are often designed to shape player behavior in a desired way; however, it can be unclear how design decisions affect the space of behaviors in a game. Designers usually explore this space through human playtesting, which can be…

Artificial Intelligence · Computer Science 2019-08-06 Alexander Zook , Brent Harrison , Mark O. Riedl

We describe a class of combinatorial design problems which typically occur in professional sailing league competitions. We discuss connections to resolvable block designs and equitable coverings and to scheduling problems in operations…

Optimization and Control · Mathematics 2025-10-01 Robert Schüler , Achill Schürmann

We present a tableau-based algorithm for deciding satisfiability for propositional dynamic logic (PDL) which builds a finite rooted tree with ancestor loops and passes extra information from children to parents to separate good loops from…

Logic in Computer Science · Computer Science 2008-01-08 Pietro Abate , Rajeev Goré , Florian Widmann

A tromino tiling problem is a packing puzzle where we are given a region of connected lattice squares and we want to decide whether there exists a tiling of the region using trominoes with the shape of an L. In this work we study a slight…

Data Structures and Algorithms · Computer Science 2021-03-16 Javier T. Akagi , Eduardo A. Canale , Marcos Villagra

Factorio is a 2D construction and management simulation video game about building automated factories to produce items of increasing complexity. A core feature of the game is its blueprint system, which allows players to easily save and…

Artificial Intelligence · Computer Science 2023-10-04 Sean Patterson , Joan Espasa , Mun See Chang , Ruth Hoffmann

This paper focuses on procedurally generating rules and communicating them to players to adjust the difficulty. This is part of a larger project to collect and adapt games in educational games for young children using a digital puzzle game…

Human-Computer Interaction · Computer Science 2025-03-20 Thomas Volden , Djordje Grbic , Paolo Burelli

The strategy of using CUDA-compatible GPUs as a parallel computation solution to improve the performance of programs has been more and more widely approved during the last two years since the CUDA platform was released. Its benefit extends…

Distributed, Parallel, and Cluster Computing · Computer Science 2010-01-12 Chang Xu , Steven R. Kirk , Samantha Jenkins

The Digital Ludeme Project (DLP) aims to reconstruct and analyse over 1000 traditional strategy games using modern techniques. One of the key aspects of this project is the development of Ludii, a general game system that will be able to…

Artificial Intelligence · Computer Science 2019-07-02 Matthew Stephenson , Éric Piette , Dennis J. N. J. Soemers , Cameron Browne

This paper extends the work started in 2002 by Demaine, Demaine and Verill (DDV) on coin-moving puzzles. These puzzles have a long history in the recreational literature, but were first systematically analyzed by DDV, who gave a full…

Discrete Mathematics · Computer Science 2023-07-14 Florian Galliot , Sylvain Gravier , Isabelle Sivignon

The template design problem (TDP) is a hard combinatorial problem with a high number of symmetries which makes solving it more complicated. A number of techniques have been proposed in the literature to optimise its resolution, ranging from…

Neural and Evolutionary Computing · Computer Science 2024-11-22 David Rodríguez Rueda , Carlos Cotta , Antonio J. Fernández-Leiva

Path planning is a fundamental and extensively explored problem in robotic control. We present a novel economic perspective on path planning. Specifically, we investigate strategic interactions among path planning agents using a game…

Multiagent Systems · Computer Science 2019-10-31 Yi Li , Yevgeniy Vorobeychik

This paper explores adaptive problem solving with a game designed to support the development of problem-solving skills. Using an adaptive, AI-powered puzzle game, our adaptive problem-solving system dynamically generates pathfinding-based…

Artificial Intelligence · Computer Science 2025-12-09 Matthew McConnell , Richard Zhao
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