English

Alternative proofs of the Conway-Gordon-Sachs Theorems

Geometric Topology 2014-04-15 v2 Algebraic Topology Combinatorics

Abstract

In this paper we present new proofs of the Conway-Gordon-Sachs and Sachs Theorems on the linked cycles in graphs embedded in R3\R^3. We reduce these theorems to certain property of graphs mapped to the plane.

Keywords

Cite

@article{arxiv.1311.2882,
  title  = {Alternative proofs of the Conway-Gordon-Sachs Theorems},
  author = {Arseny Zimin},
  journal= {arXiv preprint arXiv:1311.2882},
  year   = {2014}
}

Comments

8 pages, 2 figures; some improvements made and a new result added