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PreprintarXiv licencearXiv

T-embeddings as stationary measures on T-graphs

  • Mikhail Basok
  • Benoit Laslier
  • Marianna Russkikh
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Abstract

In this paper, we investigate the relation between t-embeddings and T-graphs associated with the same weighted planar bipartite graph. We prove that, given such a T-graph, the corresponding t-embeddings are classified by positive stationary measures on this T-graph and describe a reconstruction procedure of the t-embedding given such a measure. As an application, we develop an approach for constructing t-embeddings of arbitrary sufficiently non-degenerate planar bipartite graphs.

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Cite

BibTeXRIS
BibTeX
@misc{basok2026tembeddings,
  title = {{T-embeddings as stationary measures on T-graphs}},
  author = {Mikhail Basok and Benoit Laslier and Marianna Russkikh},
  howpublished = {arXiv},
  year = {2026},
  month = oct,
  doi = {10.48550/arxiv.2610.24180},
  eprint = {2610.24180},
  archivePrefix = {arXiv},
  url = {https://arxiv.org/abs/2610.24180},
}
RIS
TY  - UNPB
TI  - T-embeddings as stationary measures on T-graphs
AU  - Mikhail Basok
AU  - Benoit Laslier
AU  - Marianna Russkikh
PY  - 2026
DA  - 2026/10/16
PB  - arXiv
DO  - 10.48550/arxiv.2610.24180
UR  - https://arxiv.org/abs/2610.24180
AB  - In this paper, we investigate the relation between t-embeddings and T-graphs associated with the same weighted planar bipartite graph. We prove that, given such a T-graph, the corresponding t-embeddings are classified by positive stationary measures on this T-graph and describe a reconstruction procedure of the t-embedding given such a measure. As an application, we develop an approach for constructing t-embeddings of arbitrary sufficiently non-degenerate planar bipartite graphs.
ER  -