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Brief Announcement

DOI: 10.4230/LIPIcs.DISC.2025.49

Brief Announcement: Synchronization in Anonymous Networks Under Arbitrary Dynamics

Authors: Rida Bazzi, Anya Chaturvedi, Andréa W. Richa, and Peter Vargas

Published in: LIPIcs, Volume 356, 39th International Symposium on Distributed Computing (DISC 2025)

Abstract

We present the δ-Synchronizer, which works in non-synchronous dynamic networks under minimal assumptions. Our model allows for arbitrary topological changes without any guarantee of eventual global or partial stabilization and assumes that nodes are anonymous. This deterministic synchronizer is the first that enables nodes to simulate a dynamic network synchronous algorithm for executions in a semi-synchronous dynamic environment under a weakly-fair node activation scheduler, despite the absence of a global clock, node ids, persistent connectivity or any assumptions about the edge dynamics (in both the synchronous and semi-synchronous environments). We make the following contributions: (1) we extend the definition of synchronizers to networks with arbitrary edge dynamics; (2) we present the first synchronizer from the semi-synchronous to the synchronous model in such networks; and (3) we present non-trivial applications of the proposed synchronizer to existing algorithms. We assume an extension of the Pull communication model by adding a single 1-bit multi-writer atomic register at each edge-port of a node. We show that this extension is needed and that synchronization in our setting is not possible without it. The δ-Synchronizer operates with memory overhead at the nodes that is asymptotically logarithmic on the runtime of the underlying synchronous algorithm being simulated - in particular, it is logarithmic for polynomial-time synchronous algorithms.

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Rida Bazzi, Anya Chaturvedi, Andréa W. Richa, and Peter Vargas. Brief Announcement: Synchronization in Anonymous Networks Under Arbitrary Dynamics. In 39th International Symposium on Distributed Computing (DISC 2025). Leibniz International Proceedings in Informatics (LIPIcs), Volume 356, pp. 49:1-49:8, Schloss Dagstuhl – Leibniz-Zentrum für Informatik (2025)

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@InProceedings{bazzi_et_al:LIPIcs.DISC.2025.49,
  author =	{Bazzi, Rida and Chaturvedi, Anya and Richa, Andr\'{e}a W. and Vargas, Peter},
  title =	{{Brief Announcement: Synchronization in Anonymous Networks Under Arbitrary Dynamics}},
  booktitle =	{39th International Symposium on Distributed Computing (DISC 2025)},
  pages =	{49:1--49:8},
  series =	{Leibniz International Proceedings in Informatics (LIPIcs)},
  ISBN =	{978-3-95977-402-4},
  ISSN =	{1868-8969},
  year =	{2025},
  volume =	{356},
  editor =	{Kowalski, Dariusz R.},
  publisher =	{Schloss Dagstuhl -- Leibniz-Zentrum f{\"u}r Informatik},
  address =	{Dagstuhl, Germany},
  URL =		{https://drops.dagstuhl.de/entities/document/10.4230/LIPIcs.DISC.2025.49},
  URN =		{urn:nbn:de:0030-drops-248652},
  doi =		{10.4230/LIPIcs.DISC.2025.49},
  annote =	{Keywords: Synchronization, Anonymous Dynamic Networks, Arbitrary Dynamics}
}

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DOI: 10.4230/LIPIcs.SAND.2025.15

On the Runtime of Local Mutual Exclusion for Anonymous Dynamic Networks

Authors: Anya Chaturvedi, Joshua J. Daymude, and Andréa W. Richa

Published in: LIPIcs, Volume 330, 4th Symposium on Algorithmic Foundations of Dynamic Networks (SAND 2025)

Abstract

Algorithms for mutual exclusion aim to isolate potentially concurrent accesses to the same shared resources. Motivated by distributed computing research on programmable matter and population protocols where interactions among entities are often assumed to be isolated, Daymude, Richa, and Scheideler (SAND`22) introduced a variant of the local mutual exclusion problem that applies to arbitrary dynamic networks: each node, on issuing a lock request, must acquire exclusive locks on itself and all its persistent neighbors, i.e., the neighbors that remain connected to it over the duration of the lock request. Assuming adversarial edge dynamics, semi-synchronous or asynchronous concurrency, and anonymous nodes communicating via message passing, their randomized algorithm achieves mutual exclusion (non-intersecting lock sets) and lockout freedom (eventual success with probability 1). However, they did not analyze their algorithm’s runtime. In this paper, we prove that any node will successfully lock itself and its persistent neighbors within 𝒪(nΔ³) open rounds of its lock request in expectation, where n is the number of nodes in the dynamic network, Δ is the maximum degree of the dynamic network, rounds are normalized to the execution time of the "slowest" node, and "closed" rounds when some persistent neighbors are already locked by another node are ignored (i.e., only "open" rounds are considered).

Cite as

Anya Chaturvedi, Joshua J. Daymude, and Andréa W. Richa. On the Runtime of Local Mutual Exclusion for Anonymous Dynamic Networks. In 4th Symposium on Algorithmic Foundations of Dynamic Networks (SAND 2025). Leibniz International Proceedings in Informatics (LIPIcs), Volume 330, pp. 15:1-15:16, Schloss Dagstuhl – Leibniz-Zentrum für Informatik (2025)

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@InProceedings{chaturvedi_et_al:LIPIcs.SAND.2025.15,
  author =	{Chaturvedi, Anya and Daymude, Joshua J. and Richa, Andr\'{e}a W.},
  title =	{{On the Runtime of Local Mutual Exclusion for Anonymous Dynamic Networks}},
  booktitle =	{4th Symposium on Algorithmic Foundations of Dynamic Networks (SAND 2025)},
  pages =	{15:1--15:16},
  series =	{Leibniz International Proceedings in Informatics (LIPIcs)},
  ISBN =	{978-3-95977-368-3},
  ISSN =	{1868-8969},
  year =	{2025},
  volume =	{330},
  editor =	{Meeks, Kitty and Scheideler, Christian},
  publisher =	{Schloss Dagstuhl -- Leibniz-Zentrum f{\"u}r Informatik},
  address =	{Dagstuhl, Germany},
  URL =		{https://drops.dagstuhl.de/entities/document/10.4230/LIPIcs.SAND.2025.15},
  URN =		{urn:nbn:de:0030-drops-230687},
  doi =		{10.4230/LIPIcs.SAND.2025.15},
  annote =	{Keywords: Mutual exclusion, dynamic networks, message passing, concurrency}
}

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Brief Announcement: Synchronization in Anonymous Networks Under Arbitrary Dynamics

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On the Runtime of Local Mutual Exclusion for Anonymous Dynamic Networks

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