3 papers
math.GT2025
A short proof of the generalized Conway--Gordon--Sachs theorem
Ryo Nikkuni
The famous Conway--Gordon--Sachs theorem for the complete graph on six vertices was extended to the general complete graph on vertices by Kazakov--Korablev as a congruence modu…
math.GT2020
Generalization of the Conway-Gordon theorem and intrinsic linking on complete graphs
Hiroko Morishita, Ryo Nikkuni
Conway and Gordon proved that for every spatial complete graph on six vertices, the sum of the linking numbers over all of the constituent two-component links is odd, and Kazakov a…
math.GT2018
Generalizations of the Conway-Gordon theorems and intrinsic knotting on complete graphs
Hiroko Morishita, Ryo Nikkuni
In 1983, Conway and Gordon proved that for every spatial complete graph on six vertices, the sum of the linking numbers over all of the constituent two-component links is odd, and…