Timeline for Does every finite bridgeless cubic planar simple undirected graph admit a 2-factorization with at most two components each of which has even order?
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Aug 27, 2017 at 4:32 | comment | added | Jimmy Dillies | Let n(A) be the minimal number of components of a graph's Tait subgraphs, and let's denote by A' the vertex sum of three copies of A. Agol's answer shows that n(A')=3n(A)-2. By taking the iterated sequence A, A', (A')', ... one gets a family of planar cubic graphs with a strictly increasing number of components for its minimal Tait subgraph. | |
Aug 27, 2017 at 4:23 | comment | added | Jimmy Dillies | Ian Agol's gives a constructive proof: | |
Aug 26, 2017 at 20:56 | history | answered | Peter Heinig | CC BY-SA 3.0 |