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A polyhedral graph corresponding to the skeleton of a Platonic solid. The five platonic graphs, the tetrahedral graph, cubical graph, octahedral graph, ...
In geometric graph theory, a branch of mathematics, a polyhedral graph is the undirected graph formed from the vertices and edges of a convex polyhedron.
24 янв. 2023 г. · Definition. The Platonic graphs are a set of graphs representing the edges and vertices of the five Platonic solids.
Продолжительность: 8:44
Опубликовано: 13 авг. 2021 г.
Abstract. We define a nearly platonic graph to be a finite k-regular simple planar graph in which all but a small number of the faces have the same de-.
The platonic graphs arise from five solids: tetrahedron, octahedron, cube, dodecahedron, and icosahedron, where the vertices of the graph are the same as the ...
6 февр. 2024 г. · A Platonic graph is a graph that has one of the Platonic solids as its skeleton. There are 5 Platonic graphs, and all of them are regular, polyhedral.
27 апр. 2015 г. · Platonic graph: A 3-connected planar graph with faces bounded by the same number of edges and vertices having the same number of incident edges.
Can you think of a planar graph that is not the graph of any polyhedron? The Platonic Solids. Euler's formula allows us to use what we know about planar graphs ...
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