Ganguly, Ankan2013-10-222013-10-222013-04-20https://hdl.handle.net/11299/158678Faculty adviser: Victor ReinerIn this paper we begin by identifying some general properties shared by all cut polytopes which can be used to analyze the general cut polytope in detail. We then characterize the face vectors and diameter of the cut polytopes of all chordless graphs. We finish with a brief summary of cd-indices and their possible application to broad classes of cut polytopes.en-USScholarly Text or Essay