Random Generation of Trees


Book Description

Random Generation of Trees is about a field on the crossroads between computer science, combinatorics and probability theory. Computer scientists need random generators for performance analysis, simulation, image synthesis, etc. In this context random generation of trees is of particular interest. The algorithms presented here are efficient and easy to code. Some aspects of Horton--Strahler numbers, programs written in C and pictures are presented in the appendices. The complexity analysis is done rigorously both in the worst and average cases. Random Generation of Trees is intended for students in computer science and applied mathematics as well as researchers interested in random generation.







Evolution of Random Search Trees


Book Description

While several excellent books have been written on algorithms and their analysis, remarkably few have been dedicated to the probabilistic analysis of algorithms. This graduate text/professional reference fills that gap and brings together material that is scattered over tens of publications. Its unifying theme is the study of some classes of random search trees suitable for use as data structures with a behavior of random growth that is almost as good as balanced trees.




Random Trees


Book Description

The aim of this book is to provide a thorough introduction to various aspects of trees in random settings and a systematic treatment of the mathematical analysis techniques involved. It should serve as a reference book as well as a basis for future research.




Decision Science


Book Description

This title was first published in 2000. This text is part of the "International Library of Management", which aims to present a comprehensive core reference series comprised of significant and influencial articles by the authorities in the management studies field. The collection of essays is both international and interdisciplinary in scope and aims to provide an entry point for investigating the myriad of study within the discipline.




Open Data Structures


Book Description

Introduction -- Array-based lists -- Linked lists -- Skiplists -- Hash tables -- Binary trees -- Random binary search trees -- Scapegoat trees -- Red-black trees -- Heaps -- Sorting algorithms -- Graphs -- Data structures for integers -- External memory searching.




Algorithms and Data Structures


Book Description

This volume presents the proceedings of the Second Workshop on Algorithms and Data Structures (WADS '91), held at Carleton University in Ottawa. The workshop was organized by the School of Computer Science at Carleton University. The workshop alternates with the Scandinavian Workshop on Algorithm Theory (SWAT), continuing the tradition of SWAT '88 (LNCS, Vol. 318), WADS '89 (LNCS, Vol. 382), and SWAT '90 (LNCS, Vol. 447). From 107 papers submitted, 37 were selected for presentation at the workshop. In addition, there were 5 invited presentations.




Lie Groups and Lie Algebras I


Book Description

From the reviews: "..., the book must be of great help for a researcher who already has some idea of Lie theory, wants to employ it in his everyday research and/or teaching, and needs a source for customary reference on the subject. From my viewpoint, the volume is perfectly fit to serve as such a source, ... On the whole, it is quite a pleasure, after making yourself comfortable in that favourite office armchair of yours, just to keep the volume gently in your hands and browse it slowly and thoughtfully; and after all, what more on Earth can one expect of any book?" --The New Zealand Mathematical Society Newsletter







Data Structures


Book Description