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
Pavelescu, Andrei  1 ; Pavelescu, Elena  1
@article{10_2140_agt_2020_20_395,
author = {Pavelescu, Andrei and Pavelescu, Elena},
title = {The complement of a {nIL} graph with thirteen vertices is {IL}},
journal = {Algebraic and Geometric Topology},
pages = {395--402},
year = {2020},
volume = {20},
number = {1},
doi = {10.2140/agt.2020.20.395},
url = {http://geodesic.mathdoc.fr/articles/10.2140/agt.2020.20.395/}
}
TY - JOUR AU - Pavelescu, Andrei AU - Pavelescu, Elena TI - The complement of a nIL graph with thirteen vertices is IL JO - Algebraic and Geometric Topology PY - 2020 SP - 395 EP - 402 VL - 20 IS - 1 UR - http://geodesic.mathdoc.fr/articles/10.2140/agt.2020.20.395/ DO - 10.2140/agt.2020.20.395 ID - 10_2140_agt_2020_20_395 ER -
%0 Journal Article %A Pavelescu, Andrei %A Pavelescu, Elena %T The complement of a nIL graph with thirteen vertices is IL %J Algebraic and Geometric Topology %D 2020 %P 395-402 %V 20 %N 1 %U http://geodesic.mathdoc.fr/articles/10.2140/agt.2020.20.395/ %R 10.2140/agt.2020.20.395 %F 10_2140_agt_2020_20_395
Pavelescu, Andrei; Pavelescu, Elena. The complement of a nIL graph with thirteen vertices is IL. Algebraic and Geometric Topology, Tome 20 (2020) no. 1, pp. 395-402. doi: 10.2140/agt.2020.20.395
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