Properties of Cut Polytopes

2013-04-20
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Properties of Cut Polytopes

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2013-04-20

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In 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.

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Faculty adviser: Victor Reiner

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This research was supported by the Undergraduate Research Opportunities Program (UROP).

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Ganguly, Ankan. (2013). Properties of Cut Polytopes. Retrieved from the University Digital Conservancy, https://hdl.handle.net/11299/158678.

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