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π Author :

**Ilias S. Kotsireas**

π Publisher :

**Springer Science & Business Media**

π Release Date :

**2009-11-06**

π Pages :

**174**

π ISBN :

**3642035620**

π Available Language :

**English, Spanish, And French**

π Category :

**Mathematics**

** SYNOPSIS :** The Second Waterloo Workshop on Computer Algebra was dedicated to the 70th birthday of combinatorics pioneer Georgy Egorychev. This book of formally-refereed papers submitted after that workshop covers topics closely related to Egorychevβs influential works.

π Author :

**N. Balakrishnan**

π Publisher :

**Springer Science & Business Media**

π Release Date :

**2012-12-06**

π Pages :

**562**

π ISBN :

**9781461241409**

π Available Language :

**English, Spanish, And French**

π Category :

**Mathematics**

** SYNOPSIS :** Sri Gopal Mohanty has made pioneering contributions to lattice path counting and its applications to probability and statistics. This is clearly evident from his lifetime publications list and the numerous citations his publications have received over the past three decades. My association with him began in 1982 when I came to McMaster Univer sity. Since then, I have been associated with him on many different issues at professional as well as cultural levels; I have benefited greatly from him on both these grounds. I have enjoyed very much being his colleague in the statistics group here at McMaster University and also as his friend. While I admire him for his honesty, sincerity and dedication, I appreciate very much his kindness, modesty and broad-mindedness. Aside from our common interest in mathematics and statistics, we both have great love for Indian classical music and dance. We have spent numerous many different subjects associated with the Indian music and hours discussing dance. I still remember fondly the long drive (to Amherst, Massachusetts) I had a few years ago with him and his wife, Shantimayee, and all the hearty discussions we had during that journey. Combinatorics and applications of combinatorial methods in probability and statistics has become a very active and fertile area of research in the recent past.

π Author :

**Charles J. Colbourn**

π Publisher :

**Springer Science & Business Media**

π Release Date :

**2013-12-01**

π Pages :

**328**

π ISBN :

**9781461335542**

π Available Language :

**English, Spanish, And French**

π Category :

**Mathematics**

** SYNOPSIS :** On March 28~31, 1994 (Farvardin 8~11, 1373 by Iranian calendar), the Twenty fifth Annual Iranian Mathematics Conference (AIMC25) was held at Sharif University of Technology in Tehran, Islamic Republic of Iran. Its sponsors in~ eluded the Iranian Mathematical Society, and the Department of Mathematical Sciences at Sharif University of Technology. Among the keynote speakers were Professor Dr. Andreas Dress and Professor Richard K. Guy. Their plenary lec~ tures on combinatorial themes were complemented by invited and contributed lectures in a Combinatorics Session. This book is a collection of refereed papers, submitted primarily by the participants after the conference. The topics covered are diverse, spanning a wide range of combinatorics and al~ lied areas in discrete mathematics. Perhaps the strength and variety of the pa~ pers here serve as the best indications that combinatorics is advancing quickly, and that the Iranian mathematics community contains very active contributors. We hope that you find the papers mathematically stimulating, and look forward to a long and productive growth of combinatorial mathematics in Iran.

π Author :

**Rudolf Ahlswede**

π Publisher :

**Springer Science & Business Media**

π Release Date :

**2008-05-17**

π Pages :

**318**

π ISBN :

**3540786023**

π Available Language :

**English, Spanish, And French**

π Category :

**Mathematics**

** SYNOPSIS :** The lectures concentrate on highlights in Combinatorial (ChaptersII and III) and Number Theoretical (ChapterIV) Extremal Theory, in particular on the solution of famous problems which were open for many decades. However, the organization of the lectures in six chapters does neither follow the historic developments nor the connections between ideas in several cases. With the speci?ed auxiliary results in ChapterI on Probability Theory, Graph Theory, etc., all chapters can be read and taught independently of one another. In addition to the 16 lectures organized in 6 chapters of the main part of the book, there is supplementary material for most of them in the Appendix. In parti- lar, there are applications and further exercises, research problems, conjectures, and even research programs. The following books and reports [B97], [ACDKPSWZ00], [A01], and [ABCABDM06], mostly of the authors, are frequently cited in this book, especially in the Appendix, and we therefore mark them by short labels as [B], [N], [E], and [G]. We emphasize that there are also βExercisesβ in [B], a βProblem Sectionβ with contributions by several authors on pages 1063β1105 of [G], which are often of a combinatorial nature, and βProblems and Conjecturesβ on pages 172β173 of [E].

π Author :

**Ilias S. Kotsireas**

π Publisher :

**Springer Science & Business Media**

π Release Date :

**2013-08-04**

π Pages :

**293**

π ISBN :

**9783642309793**

π Available Language :

**English, Spanish, And French**

π Category :

**Mathematics**

** SYNOPSIS :** This volume, as Andrew M. Odlzyko writes in the foreword, βcommemorates and celebrates the life and achievements of an extraordinary person.β Originally conceived as an 80th birthday tribute to Herbert Wilf, the well-known combinatorialist, the book has evolved beyond the proceeds of the W80 tribute. Professor Wilf was an award-winning teacher, who was supportive of women mathematicians, and who had an unusually high proportion of women among his PhD candidates. He was Editor-in-chief of the American Mathematical Monthly and a founder of both the Journal of Algorithms and of the Electronic Journal of Combinatorics. But he was first a researcher, driven by his desire to know and explain the inner workings of the mathematical world. The book collects high-quality, refereed research contributions by some of Professor Wilfβs colleagues, students, and collaborators. Many of the papers presented here were featured in the Third Waterloo Workshop on Computer Algebra (WWCA 2011, W80), held May 26-29, 2011 at Wilfrid Laurier University, Waterloo, Canada. Others were included because of their relationship to his important work in combinatorics. All are presented as a tribute to Herb Wilfβs contributions to mathematics and mathematical life.

π Author :

**Moustapha Diaby**

π Publisher :

**World Scientific**

π Release Date :

**2016-01-28**

π Pages :

**220**

π ISBN :

**9789814704892**

π Available Language :

**English, Spanish, And French**

π Category :

**Mathematics**

** SYNOPSIS :** ' Combinational optimization (CO) is a topic in applied mathematics, decision science and computer science that consists of finding the best solution from a non-exhaustive search. CO is related to disciplines such as computational complexity theory and algorithm theory, and has important applications in fields such as operations research/management science, artificial intelligence, machine learning, and software engineering. Advances in Combinatorial Optimization presents a generalized framework for formulating hard combinatorial optimization problems (COPs) as polynomial sized linear programs. Though developed based on the ''traveling salesman problem'' (TSP), the framework allows for the formulating of many of the well-known NP-Complete COPs directly (without the need to reduce them to other COPs) as linear programs, and demonstrates the same for three other problems (e.g. the ''vertex coloring problem'' (VCP)). This work also represents a proof of the equality of the complexity classes "P" (polynomial time) and "NP" (nondeterministic polynomial time), and makes a contribution to the theory and application of ''extended formulations'' (EFs). On a whole, Advances in Combinatorial Optimization offers new modeling and solution perspectives which will be useful to professionals, graduate students and researchers who are either involved in routing, scheduling and sequencing decision-making in particular, or in dealing with the theory of computing in general. Contents:IntroductionBasic IP Model Using the TSPBasic LP Model Using the TSPGeneric LP Modeling for COPsNon-Symmetry of the Basic (TSP) ModelNon-Applicability of Extended Formulations TheoryIllustrations for Other NP-Complete COPs Readership: Professionals, graduate students and researchers who are either involved in routing, scheduling and sequencing decision-making in particular, or in dealing with the theory of computing in general. Key Features:The book offers a new proof of the equality of the complexity classes "P" and "NP"Although our approach is developed using the framework of the TSP, it has natural analogs for the other problems in the NP-Complete class thus providing a unified framework for modeling many combinatorial optimization problems (COPs)The book makes a contribution to the theory and application of Extended Formulations (EFs) refining the notion of EFs by separating the case in which that notion is degenerate from the case in which the notion of EF is well defined/meaningful. It separates the case in which the addition of redundant constraints and variables (for the purpose of establishing EF relations) matters from the case in which the addition of redundant constraints and variables does not matterKeywords:Linear Programming;Convex Optimization;Combinatorial Optimization;Traveling Salesman Problem;NP-Complete Problems;P versus NP'

π Author :

**Bruce A. Reed**

π Publisher :

**Springer Science & Business Media**

π Release Date :

**2006-05-17**

π Pages :

**352**

π ISBN :

**9780387224442**

π Available Language :

**English, Spanish, And French**

π Category :

**Mathematics**

** SYNOPSIS :** Excellent authors, such as Lovasz, one of the five best combinatorialists in the world; Thematic linking that makes it a coherent collection; Will appeal to a variety of communities, such as mathematics, computer science and operations research

π Author :

**Kenneth H. Rosen**

π Publisher :

**CRC Press**

π Release Date :

**2017-10-19**

π Pages :

**1612**

π ISBN :

**9781351644051**

π Available Language :

**English, Spanish, And French**

π Category :

**Mathematics**

** SYNOPSIS :** Handbook of Discrete and Combinatorial Mathematics provides a comprehensive reference volume for mathematicians, computer scientists, engineers, as well as students and reference librarians. The material is presented so that key information can be located and used quickly and easily. Each chapter includes a glossary. Individual topics are covered in sections and subsections within chapters, each of which is organized into clearly identifiable parts: definitions, facts, and examples. Examples are provided to illustrate some of the key definitions, facts, and algorithms. Some curious and entertaining facts and puzzles are also included. Readers will also find an extensive collection of biographies. This second edition is a major revision. It includes extensive additions and updates. Since the first edition appeared in 1999, many new discoveries have been made and new areas have grown in importance, which are covered in this edition.