Title

Intrinsically Triple Linked Complete Graphs

Document Type

Article

Department

Mathematics (Pomona)

Publication Date

2001

Keywords

Intrinsically linked, Self-linked, Three component links, Embedded graphs, Spatial graphs, Spatial embeddings

Abstract

We prove that every embedding of K_10 in R³ contains a non-split link of three components. We also exhibit an embedding of K_9 with no such link of three components.

Rights Information

© 2001 Elsevier B.V.

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