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On the structure and invariants of c...

Birdsong, Sarah J.

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On the structure and invariants of cubical complexes.

Record Type:	Language materials, printed : Monograph/item
Title/Author:	On the structure and invariants of cubical complexes./
Author:	Birdsong, Sarah J.
Description:	124 p.
Notes:	Source: Dissertation Abstracts International, Volume: 74-09(E), Section: B.
Contained By:	Dissertation Abstracts International74-09B(E).
Subject:	Applied Mathematics. -
Online resource:	http://pqdd.sinica.edu.tw/twdaoapp/servlet/advanced?query=3563124
ISBN:	9781303111945

On the structure and invariants of cubical complexes.
Birdsong, Sarah J.

On the structure and invariants of cubical complexes. - 124 p.

Source: Dissertation Abstracts International, Volume: 74-09(E), Section: B.

Thesis (Ph.D.)--The University of North Carolina at Charlotte, 2013.

This dissertation introduces two new results for cubical complexes. The first is a simple statistic on noncrossing partitions that expresses each coordinate of the toric h-vector of a cubical complex, written in the basis of the Adin h-vector entries, as the total weight of all noncrossing partitions. This expression can then be used to obtain a simple combinatorial interpretation of the contribution of a cubical shelling component to the toric h-vector.

ISBN: 9781303111945Subjects--Topical Terms:

1669109
Applied Mathematics.

On the structure and invariants of cubical complexes.
LDR:01718nam a2200289 4500 001 1959351
005 20140520124008.5
008 150210s2013 ||||||||||||||||| ||eng d
020 $a 9781303111945
035 $a (MiAaPQ)AAI3563124
035 $a AAI3563124
040 $a MiAaPQ $c MiAaPQ
100 1 $a Birdsong, Sarah J. $3 2094747
245 1 0 $a On the structure and invariants of cubical complexes.
300 $a 124 p.
500 $a Source: Dissertation Abstracts International, Volume: 74-09(E), Section: B.
500 $a Adviser: Gabor Hetyei.
502 $a Thesis (Ph.D.)--The University of North Carolina at Charlotte, 2013.
520 $a This dissertation introduces two new results for cubical complexes. The first is a simple statistic on noncrossing partitions that expresses each coordinate of the toric h-vector of a cubical complex, written in the basis of the Adin h-vector entries, as the total weight of all noncrossing partitions. This expression can then be used to obtain a simple combinatorial interpretation of the contribution of a cubical shelling component to the toric h-vector.
520 $a Secondly, a class of indecomposable permutations, bijectively equivalent to standard double occurrence words, may be used to encode one representative from each equivalence class of the shellings of the boundary of the hypercube. Finally, an adjacent transposition Gray code is constructed for this class of permutations, which can be implemented in constant amortized time.
590 $a School code: 0694.
650 4 $a Applied Mathematics. $3 1669109
650 4 $a Mathematics. $3 515831
690 $a 0364
690 $a 0405
710 2 $a The University of North Carolina at Charlotte. $b Applied Mathematics (PhD). $3 1035723
773 0 $t Dissertation Abstracts International $g 74-09B(E).
790 $a 0694
791 $a Ph.D.
792 $a 2013
793 $a English
856 4 0 $u http://pqdd.sinica.edu.tw/twdaoapp/servlet/advanced?query=3563124