SOME NEW INTRINSICALLY 3-LINKED GRAPHS-Reference-Cited by-同舟云学术

SOME NEW INTRINSICALLY 3-LINKED GRAPHS

Published:2004-12 Issue:08 Volume:13 Page:1021-1027
ISSN:0218-2165
Container-title:Journal of Knot Theory and Its Ramifications
language:en
Short-container-title:J. Knot Theory Ramifications

Author:

BOWLIN GARRY¹,FOISY JOEL²

Affiliation:

1. Department of Mathematics, Binghamton University, Binghamton, NY 13902, USA

2. Mathematics Department, SUNY Potsdam, Potsdam, NY 13676, USA

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.

Publisher

World Scientific Pub Co Pte Lt

Subject

Algebra and Number Theory

Link

https://www.worldscientific.com/doi/pdf/10.1142/S0218216504003652

Reference5 articles.

1. Knots and links in spatial graphs

2. Intrinsically triple linked complete graphs

3. INTRINSICALLY n-LINKED GRAPHS

4. Sachs′ Linkless Embedding Conjecture

5. On a spatial analogue of Kuratowski's theorem on planar graphs — An open problem

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