2006•Journal of Natural Science of Heilongjiang UniversityRequires access

On abstract planarity of graphs in the 3-sphere

Fengchun Lei

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Abstract

ly planar graph in S3, and Γ′ a graph obtained by adding a finite number of edges to Γ. The abstract planarity of Γ′ is considered. A necessary and sufficient condition under which Γ′ is abstractly planar is given. Some discussions of planar graph in the viewpoint of flat embedding are done.

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ly planar graph in S3, and Γ′ a graph obtained by adding a finite number of edges to Γ. The abstract planarity of Γ′ is considered. A necessary and sufficient condition under which Γ′ is abstractly planar is given. Some discussions of planar graph in the viewpoint of flat embedding are done.

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Available abstract

ly planar graph in S3, and Γ′ a graph obtained by adding a finite number of edges to Γ. The abstract planarity of Γ′ is considered. A necessary and sufficient condition under which Γ′ is abstractly planar is given. Some discussions of planar graph in the viewpoint of flat embedding are done.

Key concepts: Planarity testing, Book embedding, Planar graph, Embedding, Planar straight-line graph, Outerplanar graph, Planar, Combinatorics

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