Milestones In Graph Theory
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Milestones In Graph Theory
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Author : Lowell W. Beineke
language : en
Publisher: American Mathematical Society
Release Date : 2025-06-26
Milestones In Graph Theory written by Lowell W. Beineke and has been published by American Mathematical Society this book supported file pdf, txt, epub, kindle and other format this book has been release on 2025-06-26 with Mathematics categories.
This book gives an engaging overview of the advances in graph theory during the 20th century. The authors, all subject experts, considered hundreds of original papers, picking out key developments and some of the notable milestones in the subject. This carefully researched volume leads the reader from the struggles of the early pioneers, through the rapid expansion of the subject in the 1960s and 1970s, up to the present day, with graph theory now a part of mainstream mathematics. After an opening chapter giving an overview of graph theory and its legacy from the 18th and 19th centuries, the book is organized thematically into seven chapters, each covering the developments made in a specified area. Topics covered in these chapters include map colorings, planarity, Hamiltonian graphs, matchings, extremal graph theory, and complexity. Each chapter is supplemented with copious endnotes, providing additional comments, bibliographic details, and further context. Written as an accessible account of the history of the subject, this book is suitable not only for graph theorists, but also for anyone interested in learning about the history of this fascinating subject. Some basic knowledge of linear algebra and group theory would be helpful, but is certainly not essential.
Graph Theory With Applications To Engineering And Computer Science
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Author : Narsingh Deo
language : en
Publisher: Courier Dover Publications
Release Date : 2017-03-09
Graph Theory With Applications To Engineering And Computer Science written by Narsingh Deo and has been published by Courier Dover Publications this book supported file pdf, txt, epub, kindle and other format this book has been release on 2017-03-09 with Mathematics categories.
Outstanding introductory treatment, geared toward advanced undergraduates and graduate students who require knowledge of graph theory. The first nine chapters constitute an excellent overview; the remaining chapters are more advanced and provide material for a variety of courses. 1974 edition.
Graph Theory With Applications To Engineering And Computer Science
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Author : DEO, NARSINGH
language : en
Publisher: PHI Learning Pvt. Ltd.
Release Date : 2004-10-01
Graph Theory With Applications To Engineering And Computer Science written by DEO, NARSINGH and has been published by PHI Learning Pvt. Ltd. this book supported file pdf, txt, epub, kindle and other format this book has been release on 2004-10-01 with Mathematics categories.
Because of its inherent simplicity, graph theory has a wide range of applications in engineering, and in physical sciences. It has of course uses in social sciences, in linguistics and in numerous other areas. In fact, a graph can be used to represent almost any physical situation involving discrete objects and the relationship among them. Now with the solutions to engineering and other problems becoming so complex leading to larger graphs, it is virtually difficult to analyze without the use of computers. This book is recommended in IIT Kharagpur, West Bengal for B.Tech Computer Science, NIT Arunachal Pradesh, NIT Nagaland, NIT Agartala, NIT Silchar, Gauhati University, Dibrugarh University, North Eastern Regional Institute of Management, Assam Engineering College, West Bengal Univerity of Technology (WBUT) for B.Tech, M.Tech Computer Science, University of Burdwan, West Bengal for B.Tech. Computer Science, Jadavpur University, West Bengal for M.Sc. Computer Science, Kalyani College of Engineering, West Bengal for B.Tech. Computer Science. Key Features: This book provides a rigorous yet informal treatment of graph theory with an emphasis on computational aspects of graph theory and graph-theoretic algorithms. Numerous applications to actual engineering problems are incorpo-rated with software design and optimization topics.
Handbook Of Graph Theory Second Edition
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Author : Jonathan L. Gross
language : en
Publisher: CRC Press
Release Date : 2013-12-17
Handbook Of Graph Theory Second Edition written by Jonathan L. Gross and has been published by CRC Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2013-12-17 with Mathematics categories.
In the ten years since the publication of the best-selling first edition, more than 1,000 graph theory papers have been published each year. Reflecting these advances, Handbook of Graph Theory, Second Edition provides comprehensive coverage of the main topics in pure and applied graph theory. This second edition—over 400 pages longer than its predecessor—incorporates 14 new sections. Each chapter includes lists of essential definitions and facts, accompanied by examples, tables, remarks, and, in some cases, conjectures and open problems. A bibliography at the end of each chapter provides an extensive guide to the research literature and pointers to monographs. In addition, a glossary is included in each chapter as well as at the end of each section. This edition also contains notes regarding terminology and notation. With 34 new contributors, this handbook is the most comprehensive single-source guide to graph theory. It emphasizes quick accessibility to topics for non-experts and enables easy cross-referencing among chapters.
Handbook Of Graph Theory
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Author : Jonathan L. Gross
language : en
Publisher: CRC Press
Release Date : 2003-12-29
Handbook Of Graph Theory written by Jonathan L. Gross and has been published by CRC Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2003-12-29 with Computers categories.
The Handbook of Graph Theory is the most comprehensive single-source guide to graph theory ever published. Best-selling authors Jonathan Gross and Jay Yellen assembled an outstanding team of experts to contribute overviews of more than 50 of the most significant topics in graph theory-including those related to algorithmic and optimization approach
Brooks Theorem
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Author : Michael Stiebitz
language : en
Publisher: Springer Nature
Release Date : 2024-03-14
Brooks Theorem written by Michael Stiebitz and has been published by Springer Nature this book supported file pdf, txt, epub, kindle and other format this book has been release on 2024-03-14 with Mathematics categories.
Brooks' Theorem (1941) is one of the most famous and fundamental theorems in graph theory – it is mentioned/treated in all general monographs on graph theory. It has sparked research in several directions. This book presents a comprehensive overview of this development and see it in context. It describes results, both early and recent, and explains relations: the various proofs, the many extensions and similar results for other graph parameters. It serves as a valuable reference to a wealth of information, now scattered in journals, proceedings and dissertations. The reader gets easy access to this wealth of information in comprehensive form, including best known proofs of the results described. Each chapter ends in a note section with historical remarks, comments and further results. The book is also suitable for graduate courses in graph theory and includes exercises. The book is intended for readers wanting to dig deeper into graph coloring theory than what is possible in the existing book literature. There is a comprehensive list of references to original sources.
Neural Networks And Graph Models For Traffic And Energy Systems
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Author : Bhambri, Pankaj
language : en
Publisher: IGI Global
Release Date : 2025-02-21
Neural Networks And Graph Models For Traffic And Energy Systems written by Bhambri, Pankaj and has been published by IGI Global this book supported file pdf, txt, epub, kindle and other format this book has been release on 2025-02-21 with Computers categories.
Neural networks and graph models play a transformative role in optimizing traffic and energy systems, offering advanced solutions for managing complex, interconnected infrastructures. Neural networks can predict traffic patterns, optimize routes, and improve the efficiency of energy distribution networks by learning from real-time data. Graph models help represent and analyze the relationships and flows within transportation and energy systems, enabling more accurate modeling of networks and their interactions. Together, these technologies allow for smarter traffic management, reduced congestion, and enhanced energy grid efficiency. As cities and industries continue to grow, integrating neural networks and graph models into traffic and energy systems is essential in creating sustainable, efficient, and resilient urban environments. Neural Networks and Graph Models for Traffic and Energy Systems explores the sophisticated techniques and practical uses of artificial intelligence in improving and overseeing traffic and energy networks. It examines the connection between neural networks and graph theory, showing how these technologies might transform the effectiveness, sustainability, and robustness of urban infrastructure. This book covers topics such as sustainable development, energy science, traffic systems, and is a useful resource for energy scientists, computer engineers, urban developers, academicians, and researchers.
Advances In Network Complexity
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Author : Matthias Dehmer
language : en
Publisher: John Wiley & Sons
Release Date : 2013-06-21
Advances In Network Complexity written by Matthias Dehmer and has been published by John Wiley & Sons this book supported file pdf, txt, epub, kindle and other format this book has been release on 2013-06-21 with Medical categories.
A well-balanced overview of mathematical approaches to complex systems ranging from applications in chemistry and ecology to basic research questions on network complexity. Matthias Dehmer, Abbe Mowshowitz, and Frank Emmert-Streib, well-known pioneers in the fi eld, have edited this volume with a view to balancing classical and modern approaches to ensure broad coverage of contemporary research problems. The book is a valuable addition to the literature and a must-have for anyone dealing with network compleaity and complexity issues.
Research Topics In Graph Theory And Its Applications
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Author : Vadim Zverovich
language : en
Publisher: Cambridge Scholars Publishing
Release Date : 2019-06-24
Research Topics In Graph Theory And Its Applications written by Vadim Zverovich and has been published by Cambridge Scholars Publishing this book supported file pdf, txt, epub, kindle and other format this book has been release on 2019-06-24 with Mathematics categories.
This book considers a number of research topics in graph theory and its applications, including ideas devoted to alpha-discrepancy, strongly perfect graphs, reconstruction conjectures, graph invariants, hereditary classes of graphs, and embedding graphs on topological surfaces. It also discusses applications of graph theory, such as transport networks and hazard assessments based on unified networks. The book is ideal for developers of grant proposals and researchers interested in exploring new areas of graph theory and its applications.
Quantum Theory And Fuzzy Systems Traversing Uncertainty In Group Decision Making And Social Networks
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Author : Tofigh Allahviranloo
language : en
Publisher: Springer Nature
Release Date : 2025-05-21
Quantum Theory And Fuzzy Systems Traversing Uncertainty In Group Decision Making And Social Networks written by Tofigh Allahviranloo and has been published by Springer Nature this book supported file pdf, txt, epub, kindle and other format this book has been release on 2025-05-21 with Computers categories.
This book dives into the fascinating intersection of quantum theory and fuzzy systems. This work is inspired by quantum theory and its real-world applications. It bridges the gap between abstract theoretical concepts and practical implementations in quantum theory-based group decision-making and graph theory/social networks. Highlights: Core concepts: Begin with uncertainty in quantum theory and fuzzy systems and familiarise yourself with the basics of quantum graphs. Real-World Applications: Explore methods for multi-attribute group decision-making, choosing green building materials, and evaluating wearable health devices, renewable energy options, and cell phones using quantum decision methods. Advanced Exploration: Investigate dynamic centrality measures for brain networks, routing protocols, centrality metrics, link prediction, and applications of quantum graphs. Comprehensive topics: Learn about green supplier selection, investment decisions under uncertainty, sustainable solar energy management, and more. Innovative approaches: Examine topological indices, dominance theory, applications of quantum computing, social fuzzy and quantum networks, scenarios of co-concurrence, and optimization techniques in quantum graphs. This comprehensive guide is an indispensable resource for students, researchers, and professionals who want to explore the applications of quantum theory in network science, quantum computing, and decision-making. Whether readers are experts or novices, this book provides knowledge and practical insights to navigate the complexity of uncertainty in our networked world.