Plongements polyédraux tendus et nombre chromatique relatif des surfaces à bord

DOI10.4153/S0008439520001010zbMath1479.52024arXiv1411.5985MaRDI QIDQ5019204

Pierre Jammes

Publication date: 3 January 2022

Published in: Canadian Mathematical Bulletin (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1411.5985

zbMATH Keywords

chromatic numbertight embeddingpolyhedral surfacessurfaces with boundarysubstantial embedding

Mathematics Subject Classification ID

Planar graphs; geometric and topological aspects of graph theory (05C10) Surfaces in Euclidean and related spaces (53A05) Relations of low-dimensional topology with graph theory (57M15) Convex sets in (3) dimensions (including convex surfaces) (52A15) Embeddings and immersions in PL-topology (57Q35) Polyhedral manifolds (52B70)

Cites Work

• Sharp eigenvalue bounds and minimal surfaces in the ball
• Multiplicity bounds for Steklov eigenvalues on Riemannian surfaces
• Sur la multiplicité de la premiere valeur propre des surfaces riemanniennes
• Tight and O-tight polyhedral embeddings of surfaces
• Eigenfunctions and nodal sets
• Multiplicity of the second Schrödinger eigenvalue on closed surfaces
• Tight polyhedral submanifolds and tight triangulations
• Prescription of the Steklov spectrum within a conformal class
• Construction de laplaciens dont une partie finie du spectre est donnée
• On the facial structure of convex polytopes
• Tightly Embedded 2-Dimensional Polyhedral Manifolds
• SOLUTION OF THE HEAWOOD MAP-COLORING PROBLEM
• Multiplicity of the Steklov spectrum on surfaces and the chromatic numbers
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