Shortest path embeddings of graphs on surfaces
DOI10.1007/s00454-017-9898-3zbMath1384.05073arXiv1602.06778OpenAlexW3125447510MaRDI QIDQ1688859
Vojtěch Kaluža, Alfredo Hubard, Arnaud de Mesmay, Martin Tancer
Publication date: 11 January 2018
Published in: Discrete \& Computational Geometry (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1602.06778
Planar graphs; geometric and topological aspects of graph theory (05C10) Global geometric and topological methods (à la Gromov); differential geometric analysis on metric spaces (53C23) Isomorphism problems in graph theory (reconstruction conjecture, etc.) and homomorphisms (subgraph embedding, etc.) (05C60)
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- Growth of Weil-Petersson volumes and random hyperbolic surface of large genus
- Pants decompositions of random surfaces
- Explicit bounds for graph minors
- Note on the irreducible triangulations of the Klein bottle
- Filling Riemannian manifolds
- An infinite set of torus triangulations of connectivity 5 whose graphs are not uniquely embeddable in the torus
- How to change a triangulation of a surface into a geodesic triangulation?
- On the period matrix of a Riemann surface of large genus (with an appendix by J. H. Conway and N. J. A. Sloane)
- Irreducible triangulations of the Klein bottle
- The graph crossing number and its variants: a survey
- Discrete systolic inequalities and decompositions of triangulated surfaces
- Random construction of Riemann surfaces
- Untangling two systems of noncrossing curves
- Crossing numbers of graph embedding pairs on closed surfaces
- Two maps on one surface
- Embeddability in the 3-Sphere Is Decidable
- Foundations of Hyperbolic Manifolds
- Optimal pants decompositions and shortest homotopic cycles on an orientable surface
- On Embedding a Graph in the Grid with the Minimum Number of Bends
- One-to-one piecewise linear mappings over triangulations
- Simultaneous Embedding of Planar Graphs with Few Bends
- Computing a canonical polygonal schema of an orientable triangulated surface
- Tightening Nonsimple Paths and Cycles on Surfaces
- Two maps with large representativity on one surface
- How to Draw a Graph
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