Alternative proofs of the Conway-Gordon-Sachs Theorems

2013/11/12 by Arseny Zimin, Zimin, Arseny
Mathematics · #57M25 #57Q45 #Algebraic Topology (math.AT) #Combinatorics (math.CO) #FOS: Mathematics #Geometric Topology (math.GT) #math.AT #math.CO #math.GT #msc:57M25 #msc:57Q45

paper · pdf · doi:10.48550/arxiv.1311.2882

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

arxiv created 2014/04/12 · arxiv updated 2014/04/15

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. We reduce these theorems to certain property of graphs mapped to the plane.

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