𝔖 Bobbio Scriptorium
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Curvature, Geometry and Spectral Properties of Planar Graphs

✍ Scribed by Matthias Keller


Publisher
Springer
Year
2011
Tongue
English
Weight
1006 KB
Volume
46
Category
Article
ISSN
0179-5376

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πŸ“œ SIMILAR VOLUMES


Combinatorial curvature for planar graph
✍ Yusuke Higuchi πŸ“‚ Article πŸ“… 2001 πŸ› John Wiley and Sons 🌐 English βš– 113 KB

## Abstract Regarding an infinite planar graph __G__ as a discrete analogue of a noncompact simply connected Riemannian surface, we introduce the combinatorial curvature of __G__ corresponding to the sectional curvature of a manifold. We show this curvature has the property that its negative values

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It is shown that a planar can always be to planar graph fewer vertices. It is shown if a planar cubic graph is edge-3colorable then the reduction of the number of its vertices is possible without changing colors of its edges.