3 years ago

Deltas, extended odd holes and their blockers

Ahmad Abdi, Dabeen Lee

Publication date: Available online 14 November 2018

Source: Journal of Combinatorial Theory, Series B

Author(s): Ahmad Abdi, Dabeen Lee

Abstract

Let C be a clutter over ground set V where no element is contained in every member. We prove that if there is a wR+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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