Algorithms and combinatorics of maximal compact codes
The implementation of two different algorithms for generating compact codes of some size N are presented. An analysis of both algorithms is given. in an attempt to prove whether or not the algorithms run in constant amortized time. Meta-Fibonacci sequences are also investigated in this paper. Using...
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ndltd-uvic.ca-oai-dspace.library.uvic.ca-1828-21012015-01-29T16:51:05Z Algorithms and combinatorics of maximal compact codes Deugau, Christopher Jordan Ruskey, Frank Roelants van Baronaigien, Dominique combinatorial analysis algorithms UVic Subject Index::Sciences and Engineering::Applied Sciences::Computer science The implementation of two different algorithms for generating compact codes of some size N are presented. An analysis of both algorithms is given. in an attempt to prove whether or not the algorithms run in constant amortized time. Meta-Fibonacci sequences are also investigated in this paper. Using a particular numbering on k-ary trees, we find that a group of meta-Fibonacci sequences count the number of nodes at the bottom level of these k-ary trees. These meta-Fibonacci sequences are also related to compact codes. Finally, generating functions are proved for the meta-Fibonacci sequences discussed. 2010-01-25T17:54:08Z 2010-01-25T17:54:08Z 2006 2010-01-25T17:54:08Z Thesis http://hdl.handle.net/1828/2101 English en Available to the World Wide Web |
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English en |
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combinatorial analysis algorithms UVic Subject Index::Sciences and Engineering::Applied Sciences::Computer science |
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combinatorial analysis algorithms UVic Subject Index::Sciences and Engineering::Applied Sciences::Computer science Deugau, Christopher Jordan Algorithms and combinatorics of maximal compact codes |
description |
The implementation of two different algorithms for generating compact codes of some size N are presented. An analysis of both algorithms is given. in an attempt to prove whether or not the algorithms run in constant amortized time. Meta-Fibonacci sequences are also investigated in this paper. Using a particular numbering on k-ary trees, we find that a group of meta-Fibonacci sequences count the number of nodes at the bottom level of these k-ary trees. These meta-Fibonacci sequences are also related to compact codes. Finally, generating functions are proved for the meta-Fibonacci sequences discussed. |
author2 |
Ruskey, Frank |
author_facet |
Ruskey, Frank Deugau, Christopher Jordan |
author |
Deugau, Christopher Jordan |
author_sort |
Deugau, Christopher Jordan |
title |
Algorithms and combinatorics of maximal compact codes |
title_short |
Algorithms and combinatorics of maximal compact codes |
title_full |
Algorithms and combinatorics of maximal compact codes |
title_fullStr |
Algorithms and combinatorics of maximal compact codes |
title_full_unstemmed |
Algorithms and combinatorics of maximal compact codes |
title_sort |
algorithms and combinatorics of maximal compact codes |
publishDate |
2010 |
url |
http://hdl.handle.net/1828/2101 |
work_keys_str_mv |
AT deugauchristopherjordan algorithmsandcombinatoricsofmaximalcompactcodes |
_version_ |
1716729081270108160 |