ACM Home Page
Please provide us with feedback. Feedback
A unifying look at data structures
Full text PdfPdf (998 KB)
Source
Communications of the ACM archive
Volume 23 ,  Issue 4  (April 1980) table of contents
Pages: 229 - 239  
Year of Publication: 1980
ISSN:0001-0782
Author
Jean Vuillemin  Univ. of Paris-South, Orsay, France
Publisher
ACM  New York, NY, USA
Bibliometrics
Downloads (6 Weeks): 9,   Downloads (12 Months): 69,   Citation Count: 22
Additional Information:

abstract   references   cited by   index terms   collaborative colleagues  

Tools and Actions: Request Permissions Request Permissions    Review this Article  
DOI Bookmark: Use this link to bookmark this Article: http://doi.acm.org/10.1145/358841.358852
What is a DOI?

ABSTRACT

Examples of fruitful interaction between geometrical combinatorics and the design and analysis of algorithms are presented. A demonstration is given of the way in which a simple geometrical construction yields new and efficient algorithms for various searching and list manipulation problems.


REFERENCES

Note: OCR errors may be found in this Reference List extracted from the full text article. ACM has opted to expose the complete List rather than only correct and linked references.

 
1
2
 
3
Comtet, L. Advanced Combinatorics. D. Reided Pub. Co., Boston, Mass., 1974.
 
4
Burge, W.H. An analysis of a tree sorting method and some properties of a set of trees. In Proc. 1st USA-Japan Comptr. Conf., 1972, pp. 372-378.
 
5
Flajolet, P., Franfon, J., Viennot, G., and Vuillemin, J. Algorithmique et combinatoire des arbres et permutations. To appear (1981).
 
6
Flajolet, P., Frangon, J., and Vuillemin, J. Sequence of operation analysis for dynamic data structures. 3". Algorithms. To appear (1980).
 
7
Foata, D., and Schutzenberger, M.P. Theorie g~omCtrique des polynCmes Euleriens. Lecture Notes in Mathematics, No. 138, Springer-Verlag, Berlin, 1970.
 
8
Foata, D., and Strehl, V. Rearrangements of the symmetric group and enumerative properties of the tangent and secant numbers. Math. Zamet. 137 (1974), 256-264.
 
9
Frangan, J. Arbres binaires de recherche, propriCtCs combinatoires et applications. RA I R O I n f ormatique Thdorique 10 (1976), 35-50.
 
10
Frangan, J., Viennot, G., and VuiUemin, J. Description et analyse d'une reprCsentation pefformante des files de prioritC. Rep. 12, Lab. d'Informatique, Orsay, France; also in Proc. 19th Ann. ACM Syrup. on Foundations of Comptr. Sci., 1978, pp. 1-7.
11
 
12
Hoare, C.A.R. Quicksort. Comptr. J. 5, 1 (1962), 10--15.
 
13
 
14
Sedgewick, R. Quicksort. Rep. STAN-CS-75-492, Dept. Comptr. Sci., Stanford Univ., Stanford, Calif,, May 1975.
 
15
Stephenson, C.J. A method for constructing binary search trees by making insertions at the root. Rep. RC 6298, IBM Thomas J. Watson Res. Ctr., Yorktown Heights, N.Y., 1976.
 
16
Viennot, G. Quelques algorithmes de permutations. AstCrique 38-39, Societ6 MathCmatique de France, 1976, pp. 275-293.

CITED BY  22