A short proof of the generalized Conway–Gordon–Sachs theorem
The famous Conway–Gordon–Sachs theorem for the complete graph on six vertices was extended to the general complete graph on n vertices by Kazakov–Korablev as a congruence modulo 2, and its integral lift was given by Morishita–Nikkuni. However, the proof is complicated and long. In this paper, we provide a shorter proof of the generalized Conway–Gordon–Sachs theorem over integers.
Authors
- Ryo Nikkuni (ORCID: https://orcid.org/0000-0003-4241-5979)
Institutions
- Tokyo Woman's Christian University (JP)
Publication Details
- Journal
- Journal of Knot Theory and Its Ramifications
- Published
- 2025-06-27
- DOI
- https://doi.org/10.1142/s0218216525500579
- Primary Topic
- Mathematical and Theoretical Analysis
- Type
- article
- Field-Weighted Citation Impact
- 0.00