Deltas, extended odd holes and their blockers

Abdi, A.ORCID logo & Lee, D. (2019). Deltas, extended odd holes and their blockers. Journal of Combinatorial Theory. Series B, 136, 193-203. https://doi.org/10.1016/j.jctb.2018.10.006
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Let C be a clutter over ground set V where no element is contained in every member. We prove that if there is a w∈R + V such that every member has weight greater than half the weight of V, then there must be a delta or the blocker of an extended odd hole minor. The proof of this result relies on a tool developed for finding delta or extended odd hole minors.

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