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单词 Intrinsically Linked
释义

Intrinsically Linked

A Graph is intrinsically linked if any embedding of it in 3-D contains a nontrivialLink. A Graph is intrinsically linked Iff it contains one of the sevenPetersen Graphs (Robertson et al. 1993).


The Complete Graph (left) is intrinsically linked because it contains at least two linkedTriangles. The Complete k-Partite Graph (right) isalso intrinsically linked.

See also Complete Graph, Complete k-Partite Graph, Petersen Graphs


References

Adams, C. C. The Knot Book: An Elementary Introduction to the Mathematical Theory of Knots. New York: W. H. Freeman, pp. 217-221, 1994.

Robertson, N.; Seymour, P. D.; and Thomas, R. ``Linkless Embeddings of Graphs in 3-Space.'' Bull. Amer. Math. Soc. 28, 84-89, 1993.


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