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

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ISSN (electronic): 1472-2739

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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

Bibliography

1	J Battle, F Harary, Y Kodama, Every planar graph with nine points has a nonplanar complement, Bull. Amer. Math. Soc. 68 (1962) 569 MR155314
2	J Campbell, T W Mattman, R Ottman, J Pyzer, M Rodrigues, S Williams, Intrinsic knotting and linking of almost complete graphs, Kobe J. Math. 25 (2008) 39 MR2509265
3	Y Colin de Verdière, Sur un nouvel invariant des graphes et un critère de planarité, J. Combin. Theory Ser. B 50 (1990) 11 MR1070462
4	J H Conway, C M Gordon, Knots and links in spatial graphs, J. Graph Theory 7 (1983) 445 MR722061
5	A Kotlov, L Lovász, S Vempala, The Colin de Verdière number and sphere representations of a graph, Combinatorica 17 (1997) 483 MR1645686
6	L Lovász, A Schrijver, A Borsuk theorem for antipodal links and a spectral characterization of linklessly embeddable graphs, Proc. Amer. Math. Soc. 126 (1998) 1275 MR1443840
7	N Robertson, P D Seymour, R Thomas, Linkless embeddings of graphs in 3–space, Bull. Amer. Math. Soc. 28 (1993) 84 MR1164063
8	H Sachs, On spatial representations of finite graphs, from: "Finite and infinite sets, II" (editors A Hajnal, L Lovász, V T Sós), Colloq. Math. Soc. János Bolyai 37, North-Holland (1984) 649 MR818267