Fiol et al.'s oddness–resistance conjecture for snarks with empty buffer subgraph
Fiol et al.'s oddness–resistance conjecture for snarks with empty buffer subgraph
Let be a snark, let denote its oddness, let denote its resistance, and suppose that the buffer subgraph of is empty. Oddness–resistance conjecture with empty buffer subgraph.
The unrestricted inequality for snarks was disproved by constructing graphs with unbounded oddness and constant resistance. The proposed reformulation restricts the claim to snarks with empty buffer subgraph, but the supplied text gives no resolution for that restricted statement.
Sources & referencesView supporting material
Primary source
Imran Allie, “3-critical subgraphs of snarks”, arXiv:2201.07528 (2022).
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