To cite MetricGraph in publications use the first of the following references to cite the package. If you use the Whittle--Matérn models (for example if you use graph_spde in 'INLA' or 'inlabru'), please cite references 2,4 and 5, and if you use the fractional Whittle--Matérn models with FEM approximations, please cite references 2 and 3.

Bolin D, Simas A, Wallin J (2023). MetricGraph: Random fields on metric graphs. R package version 1.3.0, https://CRAN.R-project.org/package=MetricGraph.

Bolin D, Simas A, Wallin J (2024). “Gaussian Whittle-Matérn fields on metric graphs.” Bernoulli, 30(2), 1611–1639. doi:10.3150/23-BEJ1647.

Bolin D, Kovács M, Kumar V, Simas A (2023). “Regularity and numerical approximation of fractional elliptic differential equations on compact metric graphs.” Mathematics of Computation. doi:10.1090/mcom/3929, (in press).

Bolin D, Simas A, Wallin J (2023). “Markov properties of Gaussian random fields on compact metric graphs.” arXiv preprint arXiv:2304.03190. doi:10.48550/arXiv.2304.03190.

Bolin D, Simas A, Wallin J (2023). “Statistical inference for Gaussian Whittle-Matérn fields on metric graphs.” arXiv preprint arXiv:2304.10372. doi:10.48550/arXiv.2304.10372.

Corresponding BibTeX entries:

  @Manual{,
    title = {MetricGraph: Random fields on metric graphs},
    author = {David Bolin and Alexandre B. Simas and Jonas Wallin},
    year = {2023},
    note = {R package version 1.3.0},
    url = {https://CRAN.R-project.org/package=MetricGraph},
  }

  @Article{,
    title = {Gaussian Whittle-Matérn fields on metric graphs},
    author = {David Bolin and Alexandre B. Simas and Jonas Wallin},
    year = {2024},
    journal = {Bernoulli},
    volume = {30},
    number = {2},
    pages = {1611--1639},
    doi = {10.3150/23-BEJ1647},
  }

  @Article{,
    title = {Regularity and numerical approximation of fractional
      elliptic differential equations on compact metric graphs},
    author = {David Bolin and Mihály Kovács and Vivek Kumar and
      Alexandre B. Simas},
    year = {2023},
    journal = {Mathematics of Computation},
    doi = {10.1090/mcom/3929},
    note = {(in press)},
  }

  @Article{,
    title = {Markov properties of Gaussian random fields on compact
      metric graphs},
    author = {David Bolin and Alexandre B. Simas and Jonas Wallin},
    year = {2023},
    journal = {arXiv preprint arXiv:2304.03190},
    doi = {10.48550/arXiv.2304.03190},
  }

  @Article{,
    title = {Statistical inference for Gaussian Whittle-Matérn fields
      on metric graphs},
    author = {David Bolin and Alexandre B. Simas and Jonas Wallin},
    year = {2023},
    journal = {arXiv preprint arXiv:2304.10372},
    doi = {10.48550/arXiv.2304.10372},
  }