Constructing Binary Huffman Tree

Hiroyuki Okazaki; Yuichi Futa; Yasunari Shidama

doi:10.2478/forma-2013-0015

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Constructing Binary Huffman Tree

Formalized Mathematics

Volume 21 (2013): Issue 2 (June 2013)

By: Hiroyuki Okazaki, Yuichi Futa and Yasunari Shidama

Open Access

|Jun 2013

Abstract

Huffman coding is one of a most famous entropy encoding methods for lossless data compression [16]. JPEG and ZIP formats employ variants of Huffman encoding as lossless compression algorithms. Huffman coding is a bijective map from source letters into leaves of the Huffman tree constructed by the algorithm. In this article we formalize an algorithm constructing a binary code tree, Huffman tree.

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Articles in this issue

DOI: https://doi.org/10.2478/forma-2013-0015 | Journal eISSN: 1898-9934 | Journal ISSN: 1426-2630

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Language: English

Page range: 133 - 143

Published on: Jun 1, 2013

Published by: University of Białystok

In partnership with: Paradigm Publishing Services

Publication frequency: 1 issue per year

Keywords:

formalization of Huffman coding tree,

source coding

Related subjects:

Mathematics,

Logic and set theory,

Computer sciences,

Artificial intelligence

© 2013 Hiroyuki Okazaki, Yuichi Futa, Yasunari Shidama, published by University of Białystok
This work is licensed under the Creative Commons License.

Volume 21 (2013): Issue 2 (June 2013)