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SOME NEW INTRINSICALLY 3-LINKED GRAPHS

Some new intrinsically 3-linked graphs

descriptionPublicationkeyboard_double_arrow_right Article 01 Dec 2004Publisher:World Scientific Pub Co Pte LtJournal:Journal of Knot Theory and Its Ramifications, volume 13, pages 1,021-1,027 (issn: 0218-2165, eissn: 1793-6527,

Authors: Bowlin, Garry; Foisy, Joel;

doi: 10.1142/s0218216504003652

SOME NEW INTRINSICALLY 3-LINKED GRAPHS

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Abstract

In [2], it was shown that every spatial embedding of K10, the complete graph on ten vertices, contains a non-split 3-component link (K10 is intrinsically 3-linked). We improve this result by exhibiting two different subgraphs of K10 that also have this property. In addition, we also exhibit several families of graphs that are intrinsically 3-linked.

Related Organizations

University of Chicago
United States
Binghamton University
United States

Keywords

\(K_9\), Knots and links in the \(3\)-sphere, Relations of low-dimensional topology with graph theory, spatial graph, \(K_{10}\), Planar graphs; geometric and topological aspects of graph theory

Impact byBIP!

	citations This is an alternative to the "Influence" indicator, which also reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).	10
	popularity This indicator reflects the "current" impact/attention (the "hype") of an article in the research community at large, based on the underlying citation network.	Average
	influence This indicator reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).	Top 10%
	impulse This indicator reflects the initial momentum of an article directly after its publication, based on the underlying citation network.	Average