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September 5, 2025Nature CommunicationsOpen Access

A graph homomorphism approach for unraveling histories of metastatic cancers and viral outbreaks under evolutionary constraints

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Authors

ККК. Г. КузьминHSHenri SchmidtMKMun-Il Kang

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Overview

This framework applies graph homomorphisms to understand migration patterns in cancers and viral outbreaks, suggesting new pathways for tracing spread.

Key Points

  • The study finds that structural constraints on migration patterns impact the relationship between phylogenetic and migration trees.
  • Phylogenetics often struggles to accurately reflect underlying migration structures, complicating our understanding of spread pathways.
  • Graph homomorphisms provide a new method for evaluating tree consistency under various conditions, offering enhanced flexibility.
  • By generalizing existing models, the proposed approach has the potential for wider application in tracing viral and cancer spread.

Cite This Study

Кузьмин et al. (2025) studied this question.

synapsesocial.com/papers/68c23887b210217d647782bchttps://doi.org/10.1038/s41467-025-63411-4
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