@article{ITA_2000__34_4_279_0, author = {Nebel, Markus E.}, title = {On the {Horton-Strahler} number for combinatorial tries}, journal = {RAIRO - Theoretical Informatics and Applications - Informatique Th\'eorique et Applications}, pages = {279--296}, publisher = {EDP-Sciences}, volume = {34}, number = {4}, year = {2000}, mrnumber = {1809861}, zbl = {0966.05019}, language = {en}, url = {http://www.numdam.org/item/ITA_2000__34_4_279_0/} }
TY - JOUR AU - Nebel, Markus E. TI - On the Horton-Strahler number for combinatorial tries JO - RAIRO - Theoretical Informatics and Applications - Informatique Théorique et Applications PY - 2000 SP - 279 EP - 296 VL - 34 IS - 4 PB - EDP-Sciences UR - http://www.numdam.org/item/ITA_2000__34_4_279_0/ LA - en ID - ITA_2000__34_4_279_0 ER -
%0 Journal Article %A Nebel, Markus E. %T On the Horton-Strahler number for combinatorial tries %J RAIRO - Theoretical Informatics and Applications - Informatique Théorique et Applications %D 2000 %P 279-296 %V 34 %N 4 %I EDP-Sciences %U http://www.numdam.org/item/ITA_2000__34_4_279_0/ %G en %F ITA_2000__34_4_279_0
Nebel, Markus E. On the Horton-Strahler number for combinatorial tries. RAIRO - Theoretical Informatics and Applications - Informatique Théorique et Applications, Tome 34 (2000) no. 4, pp. 279-296. http://www.numdam.org/item/ITA_2000__34_4_279_0/
[1] Handbook of Mathematical Functions. Dover (1970).
and ,[2] Introduction to Analytic Number Theory. Springer (1976). | MR | Zbl
,[3] The Average Height of Planted Plane Trees. Graph Theory and Computing, edited by R.C. Read. Academic Press (1972). | MR | Zbl
, and ,[4] On the Horton-Strahler Number for Random Tries. Theoret. Informatics Appl. 30 (1996) 443-456. | Numdam | MR | Zbl
and ,[5] Asymptotic Distributions and a Multivariate Darboux Method in Enumeration Problems. J. Combin. Theory Ser. A 67 (1994) 169-184. | MR | Zbl
,[6] On Programming of Arithmetic Operations. Comm. ACM 1 (1958 3-6. | Zbl
,[7] The Number of Registers required for Evaluating Arithmetic Expressions. Theoret. Comput. Sci. 9 (1979) 99-125. | MR | Zbl
, and ,[8] Singularity Analysis of Generating Functions. SIAM J. Discrete Math. 3 (1990) 216-240. | MR | Zbl
and ,[9] Register Allocation for Unary-Binary Trees. SIAM J. Comput. 15 (1986) 629-640. | MR | Zbl
and ,[10] Mellin transforms and asymptotics: Harmonic sums. Theoret Comput. Sci. 144 (1995) 3-58. | MR | Zbl
, and ,[11] Sur le nombre de registres nécessaires à l'évaluation d'une expression arithmétique. Theoret. Informatics Appl. 18 (1984) 355-364. | Numdam | MR | Zbl
,[12] Erosioned development of systems and their drainage basins, hydrophysical approach to quantitative morphology. Bull. Geol. Soc. of America 56 (1945) 275-370.
,[13] The Average Number of Registers Needed to Evaluate a Binary Tree Optimally. Acta Inform. 11 (1979) 363-372. | MR | Zbl
,[14] A Note on the Stack Size of Regularly Distributed Binary Trees. BIT 20 (1980) 157-163. | MR | Zbl
,[15] Fundamentals of the Average Case Analysis of Particular Algorithms. Wiley-Teubner Series in Computer Science (1984). | MR | Zbl
,[16] On the Stack Ramification of Binary Trees. Random Graphs 2 (1992) 117-138. | MR | Zbl
,[17] The Art of Computer Programming, Volume 1: Fundamental Algorithms, 3rd Ed. Addison-Wesley (1997). | MR | Zbl
,[18] On the Order of Random Channel Networks. SIAM J. Algebraic Discrete Math. 1 (1980) 25-33. | MR | Zbl
, and ,[19] New Results on the Stack Ramification of Binary Trees. J. Autom. Lang. Comb. 2 (1997) 161-175. | MR | Zbl
,[20] The Stack-Size of Tries, A Combinatorial Study. Theoret. Comput. Sci. (to appear). | MR | Zbl
,[21] The Stack-Size of Uniform Random Tries Revisited (submitted).
,[22] Hypsometric (area-altitude) analysis of erosonal topology. Bull. Geol. Soc. of America 63 (1952) 1117-1142.
,