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math.GT2022
Converses to generalized Conway--Gordon type congruences
Ryo Nikkuni
It is known that for every spatial complete graph on vertices, the summation of the second coefficients of the Conway polynomials over the Hamiltonian knots is congruent t…
math.GT2022
Crossing numbers and rotation numbers of cycles in a plane immersed graph
Ayumu Inoue, Naoki Kimura, Ryo Nikkuni +1
For any generic immersion of a Petersen graph into a plane, the number of crossing points between two edges of distance one is odd. The sum of the crossing numbers of all -cycle…