Intrinsically Triple Linked Complete Graphs

Authors

Erica Flapan, Pomona CollegeFollow
Ramin Naimi, Occidental College
James Pommersheim, Pomona CollegeFollow

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.

Terms of Use & License Information

Terms of Use for work posted in Scholarship@Claremont.

DOI

10.1016/S0166-8641(00)00064-X

Recommended Citation

Erica Flapan, Ramin Naimi, James Pommersheim, Intrinsically triple linked complete graphs, Topology and its Applications, Volume 115, Issue 2, 14 September 2001, Pages 239-246, ISSN 0166-8641, http://dx.doi.org/10.1016/S0166-8641(00)00064-X. (http://www.sciencedirect.com/science/article/pii/S016686410000064X)