A study of the existence of pebble sets for (n,d)-polytope
碩士 === 中原大學 === 應用數學研究所 === 100 === The purpose of this thesis is to study the existence of pebble sets of size n-d in any (n,d)-polytope due to De Loera, Peterson, and Su that can be used to give a non-constructive proof of a polytopal generalization of Sperner’s lemma. The notion of chambers of a...
| Main Authors: | , |
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| Format: | Others |
| Language: | en_US |
| Published: |
2012
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| Online Access: | http://ndltd.ncl.edu.tw/handle/10511250399682489660 |
| Summary: | 碩士 === 中原大學 === 應用數學研究所 === 100 === The purpose of this thesis is to study the existence of pebble sets of size n-d in any (n,d)-polytope due to De Loera, Peterson, and Su that can be used to give a non-constructive proof of a polytopal generalization of Sperner’s lemma. The notion of chambers of a polytope is needed to define pebble sets and provides a polyhedral complex of the polytope.
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