A combinatorial approach to Golomb forests

@article{Golin2001ACA,
  title={A combinatorial approach to Golomb forests},
  author={Mordecai J. Golin},
  journal={Theor. Comput. Sci.},
  year={2001},
  volume={263},
  pages={283-304}
}
  • M. Golin
  • Published 28 July 2001
  • Computer Science
  • Theor. Comput. Sci.
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9 Citations
Background Citations
3

9 Citations

Algorithms for infinite huffman-codes
TLDR
The approach is to define an infinite weighted graph with the property that the least cost infinite path in the graph corresponds to the optimal code, and show that even though the graph is infinite, the leastcost infinite path has a repetitive structure and that it is therefore possible to not only find this path but to find it relatively efficiently.
Algorithms for Infinite Huffman-Codes (Extended Abstract)
TLDR
An infinite weighted graph is defined with the property that the least cost infinite path in the graph corresponds to the optimal code and it is shown that even though the graph is infinite, the leastcost infinite path has a repetitive structure and that it is therefore possible to not only find this path but to find it relatively efficiently.
Optimal Prefix Codes for Infinite Alphabets With Nonlinear Costs
  • M. Baer
  • Computer Science
    IEEE Transactions on Information Theory
  • 2008
TLDR
Methods for finding codes optimal for beta-exponential means are introduced and one method applies to geometric distributions, while another applies to distributions with lighter tails and both are extended to alphabetic codes.
Infinite-Alphabet Prefix Codes Optimal for ß-Exponential Penalties
  • M. Baer
  • Computer Science
    2007 IEEE International Symposium on Information Theory
  • 2007
TLDR
Methods for finding codes optimal for beta-exponential means are introduced, one of which applies to geometric distributions, while another applies to distributions with lighter tails, and both are extended to minimizing maximum pointwise redundancy.
Infinite-Alphabet Prefix Codes Optimal for beta-Exponential Penalties
TLDR
Methods for finding codes optimal for exponential means of Poisson distributions are introduced, one of which applies to geometric distributions, while another applies to distributions with lighter tails.
IT ] 1 N ov 2 00 5 Integer Coding with Nonlinear Costs
TLDR
Algorithms for finding integer codes o ptimal for β-exponential means, which applies to geometric distributions, while another applies to distr ibutions with lighter tails, and both are extended to alphabeti c codes.
Run-Length Encoding in a Finite Universe
TLDR
A simple code is arrived at that allows computing a codeword using only $O(1)$ simple computer operations and machine words, and it is demonstrated experimentally that the resulting representation length is very close to the optimal Huffman code, to the extent that the expected difference is practically negligible.
On the Optimal Pairwise Group Testing Algorithm
TLDR
An exhaustive characterization of probabilistic PTA properties is provided by providing an empirical characterization of the basic probabilism properties of the Pairwise Testing Algorithm.
Automates, énumération et algorithmes
Ces travaux s'inscrivent dans le cadre general de la theorie des automates, de la combinatoire des mots, de la combinatoire enumerative et de l'algorithmique. Ils ont en commun de traiter des…

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