Special Issue Lattice Path Combinatorics And Applications
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Lattice Path Combinatorics And Applications
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Author : George E. Andrews
language : en
Publisher: Springer
Release Date : 2019-03-02
Lattice Path Combinatorics And Applications written by George E. Andrews and has been published by Springer this book supported file pdf, txt, epub, kindle and other format this book has been release on 2019-03-02 with Mathematics categories.
The most recent methods in various branches of lattice path and enumerative combinatorics along with relevant applications are nicely grouped together and represented in this research contributed volume. Contributions to this edited volume will be mainly research articles however it will also include several captivating, expository articles (along with pictures) on the life and mathematical work of leading researchers in lattice path combinatorics and beyond. There will be four or five expository articles in memory of Shreeram Shankar Abhyankar and Philippe Flajolet and honoring George Andrews and Lajos Takács. There may be another brief article in memory of Professors Jagdish Narayan Srivastava and Joti Lal Jain. New research results include the kernel method developed by Flajolet and others for counting different classes of lattice paths continues to produce new results in counting lattice paths. The recent investigation of Fishburn numbers has led to interesting counting interpretations and a family of fascinating congruences. Formulas for new methods to obtain the number of Fq-rational points of Schubert varieties in Grassmannians continues to have research interest and will be presented here. Topics to be included are far reaching and will include lattice path enumeration, tilings, bijections between paths and other combinatoric structures, non-intersecting lattice paths, varieties, Young tableaux, partitions, enumerative combinatorics, discrete distributions, applications to queueing theory and other continuous time models, graph theory and applications. Many leading mathematicians who spoke at the conference from which this volume derives, are expected to send contributions including. This volume also presents the stimulating ideas of some exciting newcomers to the Lattice Path Combinatorics Conference series; “The 8th Conference on Lattice Path Combinatorics and Applications” provided opportunities for new collaborations; some of the products of these collaborations will also appear in this book. This book will have interest for researchers in lattice path combinatorics and enumerative combinatorics. This will include subsets of researchers in mathematics, statistics, operations research and computer science. The applications of the material covered in this edited volume extends beyond the primary audience to scholars interested queuing theory, graph theory, tiling, partitions, distributions, etc. An attractive bonus within our book is the collection of special articles describing the top recent researchers in this area of study and documenting the interesting history of who, when and how these beautiful combinatorial results were originally discovered.
Special Issue On Lattice Path Combinatorics And Applications
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Author : Sri G. Mohanty
language : en
Publisher:
Release Date : 1996
Special Issue On Lattice Path Combinatorics And Applications written by Sri G. Mohanty and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1996 with categories.
Lattice Path Combinatorics And Special Counting Sequences
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Author : Chunwei Song
language : en
Publisher: CRC Press
Release Date : 2024-09-17
Lattice Path Combinatorics And Special Counting Sequences written by Chunwei Song and has been published by CRC Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2024-09-17 with Mathematics categories.
This book endeavors to deepen our understanding of lattice path combinatorics, explore key types of special sequences, elucidate their interconnections, and concurrently champion the author's interpretation of the “combinatorial spirit”. The author intends to give an up-to-date introduction to the theory of lattice path combinatorics, its relation to those special counting sequences important in modern combinatorial studies, such as the Catalan, Schröder, Motzkin, Delannoy numbers, and their generalized versions. Brief discussions of applications of lattice path combinatorics to symmetric functions and connections to the theory of tableaux are also included. Meanwhile, the author also presents an interpretation of the "combinatorial spirit" (i.e., "counting without counting", bijective proofs, and understanding combinatorics from combinatorial structures internally, and more), hoping to shape the development of contemporary combinatorics. Lattice Path Combinatorics and Special Counting Sequences: From an Enumerative Perspective will appeal to graduate students and advanced undergraduates studying combinatorics, discrete mathematics, or computer science.
Special Issue Lattice Path Combinatorics And Applications
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Author :
language : en
Publisher:
Release Date : 2012
Special Issue Lattice Path Combinatorics And Applications written by and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 2012 with categories.
Eulerian Numbers
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Author : T. Kyle Petersen
language : en
Publisher: Birkhäuser
Release Date : 2015-10-12
Eulerian Numbers written by T. Kyle Petersen and has been published by Birkhäuser this book supported file pdf, txt, epub, kindle and other format this book has been release on 2015-10-12 with Mathematics categories.
This text presents the Eulerian numbers in the context of modern enumerative, algebraic, and geometric combinatorics. The book first studies Eulerian numbers from a purely combinatorial point of view, then embarks on a tour of how these numbers arise in the study of hyperplane arrangements, polytopes, and simplicial complexes. Some topics include a thorough discussion of gamma-nonnegativity and real-rootedness for Eulerian polynomials, as well as the weak order and the shard intersection order of the symmetric group. The book also includes a parallel story of Catalan combinatorics, wherein the Eulerian numbers are replaced with Narayana numbers. Again there is a progression from combinatorics to geometry, including discussion of the associahedron and the lattice of noncrossing partitions. The final chapters discuss how both the Eulerian and Narayana numbers have analogues in any finite Coxeter group, with many of the same enumerative and geometric properties. There are four supplemental chapters throughout, which survey more advanced topics, including some open problems in combinatorial topology. This textbook will serve a resource for experts in the field as well as for graduate students and others hoping to learn about these topics for the first time.
Journal Of Statistical Planning And Inference
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Author : North-Holland Publishing Company
language : en
Publisher:
Release Date : 1986
Journal Of Statistical Planning And Inference written by North-Holland Publishing Company and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1986 with categories.
Analytic Combinatorics
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Author : Philippe Flajolet
language : en
Publisher: Cambridge University Press
Release Date : 2009-01-15
Analytic Combinatorics written by Philippe Flajolet and has been published by Cambridge University Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2009-01-15 with Mathematics categories.
Analytic combinatorics aims to enable precise quantitative predictions of the properties of large combinatorial structures. The theory has emerged over recent decades as essential both for the analysis of algorithms and for the study of scientific models in many disciplines, including probability theory, statistical physics, computational biology, and information theory. With a careful combination of symbolic enumeration methods and complex analysis, drawing heavily on generating functions, results of sweeping generality emerge that can be applied in particular to fundamental structures such as permutations, sequences, strings, walks, paths, trees, graphs and maps. This account is the definitive treatment of the topic. The authors give full coverage of the underlying mathematics and a thorough treatment of both classical and modern applications of the theory. The text is complemented with exercises, examples, appendices and notes to aid understanding. The book can be used for an advanced undergraduate or a graduate course, or for self-study.
Lattice Path Combinatorics With Statistical Applications
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Author : Tadepalli Venkata Narayana
language : en
Publisher: Toronto ; Buffalo : University of Toronto Press
Release Date : 1979
Lattice Path Combinatorics With Statistical Applications written by Tadepalli Venkata Narayana and has been published by Toronto ; Buffalo : University of Toronto Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 1979 with Mathematics categories.
Security And Trust Issues In Internet Of Things
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Author : Sudhir Kumar Sharma
language : en
Publisher: CRC Press
Release Date : 2020-12-02
Security And Trust Issues In Internet Of Things written by Sudhir Kumar Sharma and has been published by CRC Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2020-12-02 with Computers categories.
The purpose of this edited book is to present and showcase the basic fundamentals, applications, and integration of both IoT and Blockchain. The trend of applying Blockchain to IoT is rapidly growing because it helps to overcome various challenges faced by IoT, from smart manufacturing to unmanned aerial vehicles. Thise book aims to showcase the basics of both IoT and Blockchain as well as the integration and challenges for existing practitioners. Thise book initiates conversations among technologists, engineers, scientists, and clinicians to synergize their efforts in producing low-cost, high-performance, highly efficient, deployable IoT systems. Thise book is theory-based and is useful for engineers from various disciplines, including industrial engineering, computer science, electronics, telecommunications, electrical, agricultural, and cybersecurity, along with researchers, professionals, and students.
Distributed Denial Of Service Attacks
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Author : Rajeev Singh
language : en
Publisher: Walter de Gruyter GmbH & Co KG
Release Date : 2021-07-19
Distributed Denial Of Service Attacks written by Rajeev Singh and has been published by Walter de Gruyter GmbH & Co KG this book supported file pdf, txt, epub, kindle and other format this book has been release on 2021-07-19 with Technology & Engineering categories.
This book presents new concepts against Distributed Denial of Service (DDoS) attacks. It follows a systematic approach providing cryptographic and mathematical solutions that include aspects of encryption, decryption, hashing techniques, digital signatures, authentication, probability, statistical improvements to machine learning and soft computing as well as latest trends like blockchains to mitigate DDoS attacks.