Year: 2026
Type: preprint
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.
Source: arXiv (Cornell University)
Institutions: Université Paris Cité, Aalto University
Language: English
Subfield: Discrete Mathematics and Combinatorics
Field: Mathematics
Domain: Physical Sciences
Open Access status: green
OpenAlex ID: W7223067434