Simplicial Girth and Pure Resolutions |
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Authors: | Michael Goff |
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Institution: | 1. Vanderbilt University, Nashville, USA
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Abstract: | Generalizing the notion of the girth of a graph, a sequence of simplicial girths is assigned to each simplicial complex. Given a simplicial girth, lower bounds on higher simplicial girths are proven. When a simplicial girth is given and the Stanley–Reisner ring has a pure resolution, upper bounds on the number of vertices are proven. |
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