Algebraic & Geometric Topology Volume 20, issue 1 (2020)

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ISSN (electronic): 1472-2739

ISSN (print): 1472-2747

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The complement of a nIL graph with thirteen vertices is IL

Andrei Pavelescu and Elena Pavelescu

Algebraic & Geometric Topology 20 (2020) 395–402

DOI: 10.2140/agt.2020.20.395

Abstract

We show that for any simple nonoriented graph $G$ with at least thirteen vertices either $G$ or its complement is intrinsically linked.

Keywords

linklessly embeddable, intrinsically linked, graph complement, de Verdière graph invariant

Mathematical Subject Classification 2010

Primary: 57M15, 57M25

References

Publication

Received: 30 October 2018

Revised: 13 March 2019

Accepted: 9 April 2019

Published: 23 February 2020

Authors

Andrei Pavelescu
Department of Mathematics University of South Alabama Mobile, AL United States

Elena Pavelescu
Department of Mathematics University of South Alabama Mobile, AL United States