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Brief Announcement: Fully Lattice Linear Algorithms

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Stabilization, Safety, and Security of Distributed Systems (SSS 2022)

Part of the book series: Lecture Notes in Computer Science ((LNCS,volume 13751))

Abstract

This paper focuses on analyzing and differentiating between lattice linear problems and lattice linear algorithms. It introduces a new class of algorithms called (fully) lattice linear algorithms, that induce a partial order among all states and form multiple lattices. An initial state locks the system into one of these lattices. We present a lattice linear self-stabilizing algorithm for minimal dominating set.

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References

  1. Chiu, W.Y., Chen, C., Tsai, S.-Y.: A 4n-move self-stabilizing algorithm for the minimal dominating set problem using an unfair distributed daemon. Inf. Process. Lett. 114(10), 515–518 (2014)

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Author information

Authors and Affiliations

  1. Computer Science and Engineering, Michigan State University, East Lansing, USA

    Arya Tanmay Gupta & Sandeep S. Kulkarni

Authors
  1. Arya Tanmay Gupta
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  2. Sandeep S. Kulkarni
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Corresponding author

Correspondence to Arya Tanmay Gupta .

Editor information

Editors and Affiliations

  1. University of Picardie Jules Verne, Amiens, France

    Stéphane Devismes

  2. Sorbonne University, Paris, France

    Franck Petit

  3. Grenoble Alpes University, Saint-Martin-d'Hères, France

    Karine Altisen

  4. Sapienza University of Rome, Rome, Italy

    Giuseppe Antonio Di Luna

  5. IMDEA Networks Institute, Madrid, Spain

    Antonio Fernandez Anta

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© 2022 The Author(s), under exclusive license to Springer Nature Switzerland AG

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Gupta, A.T., Kulkarni, S.S. (2022). Brief Announcement: Fully Lattice Linear Algorithms. In: Devismes, S., Petit, F., Altisen, K., Di Luna, G.A., Fernandez Anta, A. (eds) Stabilization, Safety, and Security of Distributed Systems. SSS 2022. Lecture Notes in Computer Science, vol 13751. Springer, Cham. https://doi.org/10.1007/978-3-031-21017-4_24

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  • DOI: https://doi.org/10.1007/978-3-031-21017-4_24

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  • Publisher Name: Springer, Cham

  • Print ISBN: 978-3-031-21016-7

  • Online ISBN: 978-3-031-21017-4

  • eBook Packages: Computer ScienceComputer Science (R0)

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