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math.GT2023
Automatic computation of crosscap number of alternating knots
Kaito Yamada, Noboru Ito
We specify the computational complexity of crosscap numbers of alternating knots by introducing an automatic computation. For an alternating knot , let be the number o…
math.GT2021
Plumbing and computation of crosscap number
Noboru Ito, Kaito Yamada
We introduce a "deformation" of plumbing. We also define a structure of data used in a calculation by computer aid of the crosscap numbers of alternating knots.