@MISC{Pikhurko00weaklysaturated, author = {Oleg Pikhurko}, title = {Weakly Saturated Hypergraphs and Exterior Algebra}, year = {2000} }
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Abstract
... Our main technique G-proof, developed from ideas of Kalai, is based on matroids derived from exterior algebra. We prove that if some graphs admit G-proof then so do `cones' and `joins' of such graphs, so that the w-satfunction can be computed for many graphs that are built up from certain elementary graphs by these operations.