Combinatorics 90
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| Author | : A. Barlotti |
| Publisher | : Elsevier |
| Total Pages | : 577 |
| Release | : 1992-08-17 |
| Genre | : Mathematics |
| ISBN | : 0080867928 |
This volume forms a valuable source of information on recent developments in research in combinatorics, with special regard to the geometric point of view. Topics covered include: finite geometries (arcs, caps, special varieties in a Galois space; generalized quadrangles; Benz planes; foundation of geometry), partial geometries, Buekenhout geometries, transitive permutation sets, flat-transitive geometries, design theory, finite groups, near-rings and semifields, MV-algebras, coding theory, cryptography and graph theory in its geometric and design aspects.
| Author | : M. Lothaire |
| Publisher | : Cambridge University Press |
| Total Pages | : 536 |
| Release | : 2002-04-18 |
| Genre | : Mathematics |
| ISBN | : 9780521812207 |
Comprehensive 2002 introduction to combinatorics on words for mathematicians and theoretical computer scientists.
| Author | : Edward A. Bender |
| Publisher | : Courier Corporation |
| Total Pages | : 789 |
| Release | : 2013-01-18 |
| Genre | : Mathematics |
| ISBN | : 0486151506 |
This introduction to combinatorics, the foundation of the interaction between computer science and mathematics, is suitable for upper-level undergraduates and graduate students in engineering, science, and mathematics. The four-part treatment begins with a section on counting and listing that covers basic counting, functions, decision trees, and sieving methods. The following section addresses fundamental concepts in graph theory and a sampler of graph topics. The third part examines a variety of applications relevant to computer science and mathematics, including induction and recursion, sorting theory, and rooted plane trees. The final section, on generating functions, offers students a powerful tool for studying counting problems. Numerous exercises appear throughout the text, along with notes and references. The text concludes with solutions to odd-numbered exercises and to all appendix exercises.
| Author | : Rosemary Bailey |
| Publisher | : Cambridge University Press |
| Total Pages | : 356 |
| Release | : 1997 |
| Genre | : Analyse combinatoire |
| ISBN | : 0521598400 |
The invited lectures given at the 16th. British Combinatorial Conference, July 1997 at Queen Mary and Westfield College.
| Author | : Albrecht Beutelspacher |
| Publisher | : Cambridge University Press |
| Total Pages | : 428 |
| Release | : 1993 |
| Genre | : Combinatorial analysis |
| ISBN | : 9780521448505 |
Included here are articles from many of the leading practitioners in the field, including, for the first time, several distinguished Russian mathematicians. Many of the papers contain important new results, and the growing use of computer algebra packages in this area is also demonstrated.
| Author | : J. W. P. Hirschfeld |
| Publisher | : Cambridge University Press |
| Total Pages | : 324 |
| Release | : 2001-07-05 |
| Genre | : Mathematics |
| ISBN | : 9780521002707 |
This volume contains the invited talks from the 18th British Combinatorial Conference, held in 2001.
| Author | : Stephen Melczer |
| Publisher | : Springer Nature |
| Total Pages | : 418 |
| Release | : 2020-12-22 |
| Genre | : Mathematics |
| ISBN | : 3030670805 |
This book uses new mathematical tools to examine broad computability and complexity questions in enumerative combinatorics, with applications to other areas of mathematics, theoretical computer science, and physics. A focus on effective algorithms leads to the development of computer algebra software of use to researchers in these domains. After a survey of current results and open problems on decidability in enumerative combinatorics, the text shows how the cutting edge of this research is the new domain of Analytic Combinatorics in Several Variables (ACSV). The remaining chapters of the text alternate between a pedagogical development of the theory, applications (including the resolution by this author of conjectures in lattice path enumeration which resisted several other approaches), and the development of algorithms. The final chapters in the text show, through examples and general theory, how results from stratified Morse theory can help refine some of these computability questions. Complementing the written presentation are over 50 worksheets for the SageMath and Maple computer algebra systems working through examples in the text.
| Author | : Gerard Cohen |
| Publisher | : Springer Science & Business Media |
| Total Pages | : 410 |
| Release | : 1991-07-24 |
| Genre | : Computers |
| ISBN | : 9783540543039 |
This book presents a selection of the papers presented at EUROCODE '90, the symposium on coding theory held in Udine, Italy, November 1990. It gives the state of the art on coding in Europe and ranges from theoretical top- ics like algebraic geometry and combinatorial coding to applications like modulation, real-space decoding and VLSI implementation. The book is divided into eight sections: - Algebraic codes - Combinatorial codes - Geometric codes - Protection of information - Convolutional codes - Information theory - Modulation - Applications of coding. Five of the sections are introduced by an invited contribution.
| Author | : M. Lothaire |
| Publisher | : Cambridge University Press |
| Total Pages | : 260 |
| Release | : 1997-05-29 |
| Genre | : Mathematics |
| ISBN | : 0521599245 |
Combinatorics on words, or finite sequences, is a field which grew simultaneously within disparate branches of mathematics such as group theory and probability. It has grown into an independent theory finding substantial applications in computer science automata theory and liguistics. This volume is the first to present a thorough treatment of this theory. All of the main results and techniques are covered. The presentation is accessible to undergraduate and graduate level students in mathematics and computer science as well as to specialists in all branches of applied mathematics.
| Author | : J. H. van Lint |
| Publisher | : Cambridge University Press |
| Total Pages | : 620 |
| Release | : 2001-11-22 |
| Genre | : Mathematics |
| ISBN | : 9780521006019 |
This is the second edition of a popular book on combinatorics, a subject dealing with ways of arranging and distributing objects, and which involves ideas from geometry, algebra and analysis. The breadth of the theory is matched by that of its applications, which include topics as diverse as codes, circuit design and algorithm complexity. It has thus become essential for workers in many scientific fields to have some familiarity with the subject. The authors have tried to be as comprehensive as possible, dealing in a unified manner with, for example, graph theory, extremal problems, designs, colorings and codes. The depth and breadth of the coverage make the book a unique guide to the whole of the subject. The book is ideal for courses on combinatorical mathematics at the advanced undergraduate or beginning graduate level. Working mathematicians and scientists will also find it a valuable introduction and reference.
