Total curvature of graphs in Euclidean spaces

DOI10.1016/S0926-2245(98)00002-3zbMath0924.53004OpenAlexW2047801307WikidataQ115337524 ScholiaQ115337524MaRDI QIDQ1127858

Kouki Taniyama

Publication date: 10 August 1998

Published in: Differential Geometry and its Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/s0926-2245(98)00002-3

zbMATH Keywords

Euclidean spacegeneralized Fenchel theoremtotal curvature of a smooth closed curvetotal curvature of graphs

Mathematics Subject Classification ID

Planar graphs; geometric and topological aspects of graph theory (05C10) Differential geometry of immersions (minimal, prescribed curvature, tight, etc.) (53C42) Curves in Euclidean and related spaces (53A04)

Related Items (4)

Bridge index for spatial \(\theta_{n}\)-curves with local knots ⋮ Vertex dimension of complete graphs on even vertices ⋮ Curvature dimension of trivalent graphs ⋮ Curvature index for spatial theta-curves.

Cites Work

• On the total curvature of knots
• Homeomorphic Continuous Curves in 2-Space are Isotopic in 3-Space
• Sur la courbure totale d'une courbe gauche faisant un nœud
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