Evidence map›Paper›PMID 42457723›Full record

ArticleNature communications2026

Efficient Gillespie algorithms for spreading phenomena in large and heterogeneous higher-order networks.

Hugo P Maia, Wesley Cota, Yamir Moreno, Silvio C Ferreira

Abstract read
In one paragraph

Article in Nature communications, 2026. The graph could read no effect estimate from its abstract, so it casts no vote on the map. Cited by 2 papers.

0numbers the graph read from it
0cells of the map it votes in
2citing papers in PubMed
–field-weighted citation impact
1 · What the graph read from it

What it found

Each row is one number read from the abstract, on the scale the paper reported it, with its interval. Left of the dashed line favours the treatment, right favours the comparator. Under each row is the sentence it came from. New to these charts? A ten-minute tutorial.

The abstract states no effect estimate the extractor could read, or names no intervention and outcome on the map, so this paper lights no cell and moves no belief. It is still indexed, cited and linked below.

2 · The registry

The trial behind it

Trials whose registry record cites this paper, or whose number appears in the abstract. A trial that started after this paper was published is citing it as background, not reporting it.

Neither the registry nor the abstract names a trial number. If this is a trial report, that itself is worth knowing.

3 · Its place in the literature

Who cites it

2 citing papers in PubMed.

  1. Article
  2. Rumor propagation on hypergraphs.Nature communications · 2026
    Article
4 · The record

Corrections and comments

PubMed lists nothing against this paper. Absence here is not a guarantee, only a check that was made.

5 · Who and what money

Authors and funding

4 authors.

Hugo P MaiaDepartamento de Física, Universidade Federal de Viçosa, Viçosa, MG, Brazil.ORCID http://orcid.org/0000-0002-8912-0900
Wesley CotaDepartamento de Física, Universidade Federal de Viçosa, Viçosa, MG, Brazil.ORCID http://orcid.org/0000-0002-8582-1531
Yamir MorenoInstitute for Biocomputation and Physics of Complex Systems (BIFI), University of Zaragoza, Zaragoza, Spain.ORCID http://orcid.org/0000-0002-0895-1893
Silvio C FerreiraDepartamento de Física, Universidade Federal de Viçosa, Viçosa, MG, Brazil. silviojr@ufv.br.ORCID http://orcid.org/0000-0001-7159-2769

Funding

No grant is acknowledged in the PubMed record.

6 · The paper itself

Abstract

Higher-order interactions, where groups of nodes interact collectively rather than pairwisely, are central to many complex systems, from neural and ecological networks to social contagion. However, simulating dynamical processes on such higher-order structures remains computationally challenging due to the combinatorial growth of possible interactions. Here, we develop efficient and statistically exact Gillespie algorithms for Markovian spreading dynamics on large and heterogeneous hypergraphs. By incorporating phantom processes  - events that advance time without altering the system's state - , we drastically reduce the computational complexity of standard algorithms (

Identifiers

PMID42457723
PMCPMC13490459

What OpenQuestion holds

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LicenceCC BY-NC-ND
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Registered trials

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Read under generation 80e0d062 · epoch 390. Bibliography from PubMed, PubMed Central and OpenAlex; grants from NIH RePORTER; trial links from ClinicalTrials.gov; estimates, votes and beliefs from the OpenQuestion graph.