Relevant bibliographies by topics / Metric ribbon graphs

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  1. Journal articles
  2. Dissertations / Theses

Academic literature on the topic 'Metric ribbon graphs'

Author: Grafiati
Published: 7 September 2024
Last updated: 31 July 2025

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Journal articles on the topic "Metric ribbon graphs"

1

Song, Jijian, Yiran Cheng, Bo Li, and Bin Xu. "Drawing Cone Spherical Metrics via Strebel Differentials." International Mathematics Research Notices 2020, no. 11 (2018): 3341–63. http://dx.doi.org/10.1093/imrn/rny103.

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Abstract Cone spherical metrics are conformal metrics with constant curvature one and finitely many conical singularities on compact Riemann surfaces. By using Strebel differentials as a bridge, we construct a new class of cone spherical metrics on compact Riemann surfaces by drawing on the surfaces some class of connected metric ribbon graphs.
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2

Day, Maxwell Christopher, Frank Christopher Hawthorne, and Ali Rostami. "Bond topology of chain, ribbon and tube silicates. Part II. Geometrical analysis of infinite 1D arrangements of (TO4) n− tetrahedra." Acta Crystallographica Section A Foundations and Advances 80, no. 3 (2024): 258–81. http://dx.doi.org/10.1107/s2053273324002432.

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In Part I of this series, all topologically possible 1-periodic infinite graphs (chain graphs) representing chains of tetrahedra with up to 6–8 vertices (tetrahedra) per repeat unit were generated. This paper examines possible restraints on embedding these chain graphs into Euclidean space such that they are compatible with the metrics of chains of tetrahedra in observed crystal structures. Chain-silicate minerals with T = Si4+ (plus P5+, V5+, As5+, Al3+, Fe3+, B3+, Be2+, Zn2+ and Mg2+) have a grand nearest-neighbour 〈T–T〉 distance of 3.06±0.15 Å and a minimum T...T separation of 3.71 Å betwee
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3

Barazer, Simon, Alessandro Giacchetto, and Mingkun Liu. "Length spectrum of large genus random metric maps." Forum of Mathematics, Sigma 13 (2025). https://doi.org/10.1017/fms.2025.31.

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Abstract We study the length of short cycles on uniformly random metric maps (also known as ribbon graphs) of large genus using a Teichmüller theory approach. We establish that, as the genus tends to infinity, the length spectrum converges to a Poisson point process with an explicit intensity. This result extends the work of Janson and Louf to the multi-faced case.
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4

Buser, Peter, Eran Makover, and Bjoern Muetzel. "Some counterexamples in surface homology." manuscripta mathematica, October 7, 2024. http://dx.doi.org/10.1007/s00229-024-01595-7.

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AbstractWe present four counterexamples in surface homology. The first example shows that even if the loops inducing a homology basis intersect each other at most once, they still may separate the surface into two parts. The other three examples show some difficulties in working with minimal homology bases. Introducing hyperbolic ribbon graphs we modify the examples so as to have a hyperbolic metric.
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Dissertations / Theses on the topic "Metric ribbon graphs"

1

Yakovlev, Ivan. "Graphes en rubans métriques." Electronic Thesis or Diss., Bordeaux, 2024. http://www.theses.fr/2024BORD0143.

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Cette thèse présente quelques contributions à l’étude des fonctions de comptage des graphes en rubans métriques. Un graphe en ruban, aussi connu sous le nom de carte combinatoire, est un plongement cellulaire d’un graphe dans une surface. On peut le représenter via le recollements de polygones ou encore via des factorisations de permutations. Une métrique sur un graphe en rubans est l’attribution d’une longueur strictement positive à chaque arête. Les fonctions de comptage donnent le nombre de graphes en rubans avec une métrique entière et combinatoire fixée (genre de la surface, degré des som
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