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  1. Article

    Open Access

    Connected Reconfiguration of Lattice-Based Cellular Structures by Finite-Memory Robots

    We provide algorithmic methods for connected reconfiguration of lattice-based cellular structures by finite-state robots, motivated by large-scale constructions in space. We present algorithms that are able to...

    Sándor P. Fekete, Eike Niehs, Christian Scheffer, Arne Schmidt in Algorithmica (2022)

  2. Article

    Open Access

    Particle-Based Assembly Using Precise Global Control

    In micro- and nano-scale systems, particles can be moved by using an external force like gravity or a magnetic field. In the presence of adhesive particles that can attach to each other, the challenge is to de...

    Jakob Keller, Christian Rieck, Christian Scheffer, Arne Schmidt in Algorithmica (2022)

  3. Article

    Open Access

    CADbots: Algorithmic Aspects of Manipulating Programmable Matter with Finite Automata

    We contribute results for a set of fundamental problems in the context of programmable matter by presenting algorithmic methods for evaluating and manipulating a collective of particles by a finite automaton t...

    Sándor P. Fekete, Robert Gmyr, Sabrina Hugo, Phillip Keldenich in Algorithmica (2021)

  4. No Access

    Article

    Tilt Assembly: Algorithms for Micro-factories That Build Objects with Uniform External Forces

    We present algorithmic results for the parallel assembly of many micro-scale objects in two and three dimensions from tiny particles, which has been proposed in the context of programmable matter and self-asse...

    Aaron T. Becker, Sándor P. Fekete, Phillip Keldenich, Dominik Krupke in Algorithmica (2020)

  5. No Access

    Chapter and Conference Paper

    Connected Reconfiguration of Lattice-Based Cellular Structures by Finite-Memory Robots

    We provide algorithmic methods for reconfiguration of lattice-based cellular structures by finite-state robots, motivated by large-scale constructions in space. We present algorithms that are able to detect an...

    Sándor P. Fekete, Eike Niehs, Christian Scheffer in Algorithms for Sensor Systems (2020)

  6. No Access

    Article

    Path Refinement in Weighted Regions

    In this paper, we study the weighted region problem (WRP) which is to compute a shortest path in a weighted partitioning of a plane. Recent results show that WRP is not solvable in any algebraic computation mo...

    Amin Gheibi, Anil Maheshwari, Jörg-Rüdiger Sack, Christian Scheffer in Algorithmica (2018)