TY - GEN A1 - Freij, Ragnar A1 - Henze, Matthias A1 - Schmitt, Moritz W. A1 - Ziegler, Günter M. T1 - Face numbers of centrally symmetric polytopes from split graphs N2 - We analyze a remarkable class of centrally symmetric polytopes, the Hansen polytopes of split graphs. We confirm Kalai's 3^d-conjecture for such polytopes (they all have at least 3^d nonempty faces) and show that the Hanner polytopes among them (which have exactly 3^d nonempty faces) correspond to threshold graphs. Our study produces a new family of Hansen polytopes that have only 3^d+16 nonempty faces. KW - face numbers of polytopes KW - perfect graphs KW - split graphs Y1 - 2012 UR - https://opus4.kobv.de/opus4-matheon/frontdoor/index/index/docId/1031 UR - https://nbn-resolving.org/urn:nbn:de:0296-matheon-10318 ER -