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Search trees and Stirling numbers

โœ Scribed by A.H. Manob; T.M. Islam; M.T. Parvez; M. Kaykobad


Book ID
108076891
Publisher
Elsevier Science
Year
2004
Tongue
English
Weight
325 KB
Volume
48
Category
Article
ISSN
0898-1221

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๐Ÿ“œ SIMILAR VOLUMES


Stirling numbers and records
โœ J.P Imhof ๐Ÿ“‚ Article ๐Ÿ“… 1983 ๐Ÿ› Elsevier Science ๐ŸŒ English โš– 98 KB
Pascal matrices and Stirling numbers
โœ P. Maltais; T.A. Gulliver ๐Ÿ“‚ Article ๐Ÿ“… 1998 ๐Ÿ› Elsevier Science ๐ŸŒ English โš– 187 KB

This paper presents some relationships between Pascal matrices, Stirling numbers, and Bernouilli numbers.

Generalized Stirling and Lah numbers
โœ Carl G. Wagner ๐Ÿ“‚ Article ๐Ÿ“… 1996 ๐Ÿ› Elsevier Science ๐ŸŒ English โš– 836 KB

The theory of modular binomial lattices enables the simultaneous combinatorial analysis of finite sets, vector spaces, and chains. Within this theory three generalizations of Stifling numbers of the second kind, and of Lah numbers, are developed.

Minimal trees of given search number
โœ Jonathan D.H. Smith ๐Ÿ“‚ Article ๐Ÿ“… 1987 ๐Ÿ› Elsevier Science ๐ŸŒ English โš– 717 KB

A recurrence relation and asymptotic estimate for the number of minimal trees of given search number are derived. In addition, a language for describing these trees and structures within them is developed. Their automorphisms groups are also discussed.

P-partitions and q-stirling numbers
โœ SeungKyung Park ๐Ÿ“‚ Article ๐Ÿ“… 1994 ๐Ÿ› Elsevier Science ๐ŸŒ English โš– 674 KB
On Stirling numbers and Euler sums
โœ Victor Adamchik ๐Ÿ“‚ Article ๐Ÿ“… 1997 ๐Ÿ› Elsevier Science ๐ŸŒ English โš– 635 KB

In this paper, we propose another yet generalization of Stirling numbers of the first kind for noninteger values of their arguments. We discuss the analytic representations of Stirling numbers through harmonic numbers, the generalized hypergeometric function and the logarithmic beta integral. We pre