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单词 ExampleOfPlanarGraphWithTwoDifferentEmbeddingsIntoThePlane
释义

example of planar graph with two different embeddings into the plane


Consider the following two plane graphsMathworldPlanetmath:

The plane graph G1.

The plane graph G2.

Clearly the multigraphMathworldPlanetmath associated with each of these plane graphs is the same, but the two plane graphs are not isomorphicPlanetmathPlanetmathPlanetmathPlanetmath: in G1, every face is adjacent to the central region, while in G2 there is no face adjacent to every other. This also implies that their dual graphs are non-isomorphic.

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更新时间:2025/5/4 9:32:38