Back to matchesWe found a matchYour institution may have access to this item. Find your institution then sign in to continue.TitleThinning Genus Two Heegaard Spines in S[sup 3].AuthorsScharlemann, Martin; Thompson, AbigailAbstractWe study trivalent graphs in S[sup 3] whose closed complement is a genus two handlebody. We show that such a graph, when put in thin position, has a level edge connecting two vertices.SubjectsGRAPH theory; HANDLEBODIESPublicationJournal of Knot Theory & Its Ramifications, 2003, Vol 12, Issue 5, p683ISSN0218-2165Publication typeArticleDOI10.1142/S0218216503002706