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Full-Text Articles in Physical Sciences and Mathematics
Intrinsic Linking And Knotting Are Arbitrarily Complex, Erica Flapan, Blake Mellor, Ramin Naimi
Intrinsic Linking And Knotting Are Arbitrarily Complex, Erica Flapan, Blake Mellor, Ramin Naimi
Pomona Faculty Publications and Research
We show that, given any n and alpha, any embedding of any sufficiently large complete graph in R3 contains an oriented link with components Q1,...,Qn such that for every i not equal to j, Ilk(Qi,Qj)I greater than or equal to alpha and la2(Qi)l greater than or equal to alpha, where a2(Qi) denotes the second coefficient of the Conway polynomial of Qi.