A compact code for k-trees
In this paper, we propose a new representation for k-trees - the compact code, which reduces the required memory space from O(nk) to O(n). The encoding and decoding algorithms, based on a simplification of a priority queue, are linear and very simple. As long as the k-tree is represented by its compact code, the exact vertex coloring problem can be solved in time O(n).
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Sociedade Brasileira de Pesquisa Operacional
2009
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oai:scielo:S0101-743820090003000012010-02-03A compact code for k-treesMarkenzon,LilianVernet,OswaldoPereira,Paulo Renato da Costa k-trees Prüfer code compact code In this paper, we propose a new representation for k-trees - the compact code, which reduces the required memory space from O(nk) to O(n). The encoding and decoding algorithms, based on a simplification of a priority queue, are linear and very simple. As long as the k-tree is represented by its compact code, the exact vertex coloring problem can be solved in time O(n).info:eu-repo/semantics/openAccessSociedade Brasileira de Pesquisa OperacionalPesquisa Operacional v.29 n.3 20092009-12-01info:eu-repo/semantics/articletext/htmlhttp://old.scielo.br/scielo.php?script=sci_arttext&pid=S0101-74382009000300001en10.1590/S0101-74382009000300001 |
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Markenzon,Lilian Vernet,Oswaldo Pereira,Paulo Renato da Costa |
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Markenzon,Lilian Vernet,Oswaldo Pereira,Paulo Renato da Costa A compact code for k-trees |
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Markenzon,Lilian Vernet,Oswaldo Pereira,Paulo Renato da Costa |
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Markenzon,Lilian |
title |
A compact code for k-trees |
title_short |
A compact code for k-trees |
title_full |
A compact code for k-trees |
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A compact code for k-trees |
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A compact code for k-trees |
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compact code for k-trees |
description |
In this paper, we propose a new representation for k-trees - the compact code, which reduces the required memory space from O(nk) to O(n). The encoding and decoding algorithms, based on a simplification of a priority queue, are linear and very simple. As long as the k-tree is represented by its compact code, the exact vertex coloring problem can be solved in time O(n). |
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Sociedade Brasileira de Pesquisa Operacional |
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2009 |
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http://old.scielo.br/scielo.php?script=sci_arttext&pid=S0101-74382009000300001 |
work_keys_str_mv |
AT markenzonlilian acompactcodeforktrees AT vernetoswaldo acompactcodeforktrees AT pereirapaulorenatodacosta acompactcodeforktrees AT markenzonlilian compactcodeforktrees AT vernetoswaldo compactcodeforktrees AT pereirapaulorenatodacosta compactcodeforktrees |
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