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...
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2012
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| Online Access: | http://ndltd.ncl.edu.tw/handle/10511250399682489660 |
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ndltd-TW-100CYCU55070332015-10-13T21:32:34Z http://ndltd.ncl.edu.tw/handle/10511250399682489660 A study of the existence of pebble sets for (n,d)-polytope (n,d)-多面體卵石集存在性的研究 Bing-Shiuan Sung 宋秉軒 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. Shyh-Nan Lee 李是男 2012 學位論文 ; thesis 29 en_US |
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en_US |
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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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| author2 |
Shyh-Nan Lee |
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Shyh-Nan Lee Bing-Shiuan Sung 宋秉軒 |
| author |
Bing-Shiuan Sung 宋秉軒 |
| spellingShingle |
Bing-Shiuan Sung 宋秉軒 A study of the existence of pebble sets for (n,d)-polytope |
| author_sort |
Bing-Shiuan Sung |
| title |
A study of the existence of pebble sets for (n,d)-polytope |
| title_short |
A study of the existence of pebble sets for (n,d)-polytope |
| title_full |
A study of the existence of pebble sets for (n,d)-polytope |
| title_fullStr |
A study of the existence of pebble sets for (n,d)-polytope |
| title_full_unstemmed |
A study of the existence of pebble sets for (n,d)-polytope |
| title_sort |
study of the existence of pebble sets for (n,d)-polytope |
| publishDate |
2012 |
| url |
http://ndltd.ncl.edu.tw/handle/10511250399682489660 |
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