Alternative proofs of the Conway-Gordon-Sachs Theorems

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

paper · doi:10.48550/arxiv.1311.2882

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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