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Abstract: We examine graphs that contain a non-trivial link in every embedding intoreal projective space, using a weaker notion of unlink than was used by Flapan,et al. We call such graphs intrinsically linked in projective space. We fullycharacterize such graphs with connectivity 0,1 and 2. We also show that onlyone Petersen-family graph is intrinsically linked in projective space and provethat K7 minus any two edges is also minor-minimal intrinsically linked. In all,594 graphs are shown to be minor-minimal intrinsically linked in projectivespace.



Autor: Joel Foisy, Jason Bustamante, Jared Federman, Kenji Kozai, Kevin Matthews, Kristen McNamara, Emily Stark, Kirsten Trickey

Fuente: https://arxiv.org/







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