For some absolute constant C, every finite simple undirected graph on n vertices has an edge partition into at most Cn simple cycles and single edges.
For some absolute constant C, every finite simple undirected graph on n vertices has an edge partition into at most Cn simple cycles and single edges.
For some absolute constant C, every finite simple undirected graph on n vertices has an edge partition into at most Cn simple cycles and single edges.
Resolves a decades-old graph decomposition conjecture for unrestricted finite simple graphs.
The exact mathematical claim, its prior baseline, AI origin and checking scope are documented in the cited sources.
Publication dates and editorial changes.
OpenAI reports a linear cycle-and-edge decomposition for every graph
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