The wasteful partial linkage hindrance conjecture for finitary matroids
The wasteful partial linkage hindrance conjecture for finitary matroids
Let and be finitary matroids on a common ground set. For a set , write and for the matroid contractions, and let and denote their ranks. An -hindrance is an -wave that does not span , where an -wave is a set in . Wasteful partial linkage hindrance conjecture. If there is an such that
then is hindered. This proposes a criterion for detecting hindrance in the problem of finding an -independent spanning set of ; the supplied text does not indicate whether the conjecture has been resolved.
Sources & referencesView supporting material
Primary source
Attila Joó, “Hindrance from a wasteful partial linkage”, arXiv:2410.19583 (2025).
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