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Girth six cubic graphs have Petersen minors

2014/05/02 by Robertson, Neil, Seymour, Paul, Thomas, Robin
#Combinatorics (math.CO) #Discrete Mathematics (cs.DM) #FOS: Computer and information sciences #FOS: Mathematics

paper · doi:10.48550/arxiv.1405.0533

Abstract

We prove that every 3-regular graph with no circuit of length less than six has a subgraph isomorphic to a subdivision of the Petersen graph.

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