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research-article

Compact storage schemes for formatted files by spanning trees

Published: 01 December 1979 Publication History

Abstract

The use of spanning trees in the compression of data files is studied. A new upper bound for the length of the minimal spanning tree, giving the size of the compressed file, is derived. A special front compression technique is proposed for unordered files. The space demands are compared to an information theoretical lower bound of the file size.

References

[1]
Peter A. Alsberg,Space and time saving through large data base compression and dynamic restructuring, Proc. of the IEEE, Vol. 63, No. 8, August 1975.
[2]
Jon Louis Bentley and Jerome H. Friedman,Fast algorithms for constructing minimal spanning trees in coordinate spaces, IEEE Transactions on Computers, Vol. C-27, No. 2, February 1978.
[3]
H. Blasbalg and R. Van Blerkom,Message Compression, in Data Compression, ed. by Lee D. Davisson and Robert M. Gray (Dowden), Hutchington & Ross, 1976.
[4]
Francis Chin and Davin Houck,Algorithms for updating minimal spanning trees, Journal of Computer and Systems Sciences, Vol. 16, No. 3, June 1978.
[5]
Doron Gottlieb, Steven A. Hagerth, Philippe G. H. Lehot and Henry S. Rabinowitz,A classification of compression methods and their usefulness for a large data processing center, National Computer Conference USA 1975.
[6]
A. N. C. Kang, Richard C. T. Lee, Ching-Liang Chang and Shi-Kuo Chang,Storage reduction through minimal spanning trees and spanning forests, IEEE Transactions on Computers, Vol. C-26, No. 5, May 1977.
[7]
Donald E. Knuth,The Art of Computer Programming, Vol. 1,Fundamental Algorithms, 2nd ed. Addison-Wesley, Reading, MA, 1973.
[8]
Edward M. Reingold, Jurg Nievergelt and Narisngh Deo,Combinatorial Algorithms. Theory and Practice, Prentice-Hall, New Jersey, 1977.
[9]
Daniel J. Rosenkrantz, Richard E. Stearns and Philip M. Lewis II,An analysis of several heuristics for the traveling salesman problem, SIAM J. Comput., Vol. 6, pp. 563–581.
[10]
Ernst J. Schuegraf,A survey of data compression methods for non-numerical records, Canadian Journal of Information Sciences, Vol. 2, No. 1, 1976.
[11]
Richard C. Singleton,Maximum distance q-nary codes, IEEE Trans. Inform. Theory IT-10 (1964).
[12]
V. Kevin and M. Whitney,Algorithm 422 minimal spanning tree H, Collected Algorithms of CACM.
[13]
Gio Wiederhold,Database Design, McGraw-Hill Book Company, NY, 1977.

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  • (1984)Estimating the length of minimal spanning trees in compression of filesBIT10.1007/BF0193451224:1(19-32)Online publication date: 1-Mar-1984

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        Published In

        cover image BIT
        BIT  Volume 19, Issue 4
        Dec 1979
        131 pages

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        BIT Computer Science and Numerical Mathematics

        United States

        Publication History

        Published: 01 December 1979

        Author Tags

        1. File compression
        2. Compression by differencing
        3. Spanning trees
        4. Front compression
        5. File structures
        6. Hamming-distance

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        • (1984)Estimating the length of minimal spanning trees in compression of filesBIT10.1007/BF0193451224:1(19-32)Online publication date: 1-Mar-1984

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