Random Trees: An Interplay Between Combinatorics and Probability - Rilegato

Drmota, Michael

 
9783211753552: Random Trees: An Interplay Between Combinatorics and Probability
Rilegato
ISBN 10: 3211753559 ISBN 13: 9783211753552
Casa editrice: Springer Nature, 2008

Sinossi

Trees are a fundamental object in graph theory and combinatorics as well as a basic object for data structures and algorithms in computer science. During thelastyearsresearchrelatedto(random)treeshasbeenconstantlyincreasing and several asymptotic and probabilistic techniques have been developed in order to describe characteristics of interest of large trees in di?erent settings. Thepurposeofthisbookistoprovideathoroughintroductionintovarious aspects of trees in randomsettings anda systematic treatment ofthe involved mathematicaltechniques. It shouldserveasa referencebookaswellasa basis for future research. One major conceptual aspect is to connect combinatorial and probabilistic methods that range from counting techniques (generating functions, bijections) over asymptotic methods (singularity analysis, saddle point techniques) to various sophisticated techniques in asymptotic probab- ity (convergence of stochastic processes, martingales). However, the reading of the book requires just basic knowledge in combinatorics, complex analysis, functional analysis and probability theory of master degree level. It is also part of concept of the book to provide full proofs of the major results even if they are technically involved and lengthy.

Le informazioni nella sezione "Riassunto" possono far riferimento a edizioni diverse di questo titolo.

Contenuti

Classes of Random Trees.- Generating Functions.- Advanced Tree Counting.- The Shape of Galton-Watson Trees and Pólya Trees.- The Vertical Profile of Trees.- Recursive Trees and Binary Search Trees.- Tries and Digital Search Trees.- Recursive Algorithms and the Contraction Method.- Planar Graphs.

Product Description

Book by Drmota Michael

Le informazioni nella sezione "Su questo libro" possono far riferimento a edizioni diverse di questo titolo.

Editore
Springer Nature
Data di pubblicazione
2008
Lingua
Inglese
ISBN 10 
3211753559
ISBN 13 
9783211753552
Rilegatura
Copertina rigida
Numero di pagine
458
Contatto del produttore
non disponibile
Persona responsabile
CMN Printpool Inh. Mathis Neumann
https://www.also.com/ec/cms5/en_6000/6000/index.jsp

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Hamburg
Germania

Altre edizioni note dello stesso titolo

9783211999141: Random Trees: An Interplay between Combinatorics and Probability

Edizione in evidenza

ISBN 10:  3211999140 ISBN 13:  9783211999141
Casa editrice: Springer, 2010
Brossura