Intrinsically triple-linked graphs in RP^3

Details Intrinsically triple-linked graphs in RP^3 Intrinsically triple-linked graphs in RP^3

2008-11-10

arxiv.org/abs/0811.1404v1

Mathematics

Geometric Topology

19 pages, 4 figures

Scientific paper

Flapan, et al [8] showed that every spatial embedding of K_10, the complete graph on ten vertices, contains a non-split three-component link (K_10 is intrinsically triple-linked). The papers [2] and [7] extended the list of known intrinsically triple-linked graphs in R^3 to include several other families of graphs. In this paper, we will show that while some of these graphs can be embedded 3-linklessly in RP^3, K_10 is intrinsically triple-linked in RP^3.

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