Volume 20, issue 1 (2020)

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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
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