Graphs On Surfaces And Their Applications
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Graphs On Surfaces And Their Applications
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Author : Sergei K. Lando
language : en
Publisher: Springer Science & Business Media
Release Date : 2013-04-17
Graphs On Surfaces And Their Applications written by Sergei K. Lando and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 2013-04-17 with Mathematics categories.
Graphs drawn on two-dimensional surfaces have always attracted researchers by their beauty and by the variety of difficult questions to which they give rise. The theory of such embedded graphs, which long seemed rather isolated, has witnessed the appearance of entirely unexpected new applications in recent decades, ranging from Galois theory to quantum gravity models, and has become a kind of a focus of a vast field of research. The book provides an accessible introduction to this new domain, including such topics as coverings of Riemann surfaces, the Galois group action on embedded graphs (Grothendieck's theory of "dessins d'enfants"), the matrix integral method, moduli spaces of curves, the topology of meromorphic functions, and combinatorial aspects of Vassiliev's knot invariants and, in an appendix by Don Zagier, the use of finite group representation theory. The presentation is concrete throughout, with numerous figures, examples (including computer calculations) and exercises, and should appeal to both graduate students and researchers.
Graphs On Surfaces
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Author : Joanna A. Ellis-Monaghan
language : en
Publisher: Springer Science & Business Media
Release Date : 2013-06-28
Graphs On Surfaces written by Joanna A. Ellis-Monaghan and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 2013-06-28 with Mathematics categories.
Graphs on Surfaces: Dualities, Polynomials, and Knots offers an accessible and comprehensive treatment of recent developments on generalized duals of graphs on surfaces, and their applications. The authors illustrate the interdependency between duality, medial graphs and knots; how this interdependency is reflected in algebraic invariants of graphs and knots; and how it can be exploited to solve problems in graph and knot theory. Taking a constructive approach, the authors emphasize how generalized duals and related ideas arise by localizing classical constructions, such as geometric duals and Tait graphs, and then removing artificial restrictions in these constructions to obtain full extensions of them to embedded graphs. The authors demonstrate the benefits of these generalizations to embedded graphs in chapters describing their applications to graph polynomials and knots. Graphs on Surfaces: Dualities, Polynomials, and Knots also provides a self-contained introduction to graphs on surfaces, generalized duals, topological graph polynomials, and knot polynomials that is accessible both to graph theorists and to knot theorists. Directed at those with some familiarity with basic graph theory and knot theory, this book is appropriate for graduate students and researchers in either area. Because the area is advancing so rapidly, the authors give a comprehensive overview of the topic and include a robust bibliography, aiming to provide the reader with the necessary foundations to stay abreast of the field. The reader will come away from the text convinced of advantages of considering these higher genus analogues of constructions of plane and abstract graphs, and with a good understanding of how they arise.
Graph Theory And Its Applications
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Author : Jonathan L. Gross
language : en
Publisher: CRC Press
Release Date : 2005-09-22
Graph Theory And Its Applications 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 2005-09-22 with Computers categories.
Already an international bestseller, with the release of this greatly enhanced second edition, Graph Theory and Its Applications is now an even better choice as a textbook for a variety of courses -- a textbook that will continue to serve your students as a reference for years to come. The superior explanations, broad coverage, and abundance
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.
Advanced Graph Theory
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Author : Dr. Sriraj M. A.
language : en
Publisher: RK Publication
Release Date : 2024-12-12
Advanced Graph Theory written by Dr. Sriraj M. A. and has been published by RK Publication this book supported file pdf, txt, epub, kindle and other format this book has been release on 2024-12-12 with Computers categories.
Advanced Graph Theory is mathematical foundations, algorithms, and applications of graph theory. Topics such as connectivity, coloring, network flows, and spectral graph theory, this both classical and modern developments. It provides rigorous proofs, real-world applications, and advanced techniques used in computer science, optimization, and combinatorial mathematics. Suitable for researchers, graduate students, and professionals, the balances theoretical depth with practical insights, making it an essential resource for those seeking a deeper understanding of graph structures and their complexities.
An Extensive English Language Bibliography On Graph Theory And Its Applications
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Author : Narsingh Deo
language : en
Publisher:
Release Date : 1969
An Extensive English Language Bibliography On Graph Theory And Its Applications written by Narsingh Deo and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1969 with Graph theory categories.
Gateways Unveiling The Mysteries Of Topological Graph Theory
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Author : Pasquale De Marco
language : en
Publisher: Pasquale De Marco
Release Date : 2025-03-09
Gateways Unveiling The Mysteries Of Topological Graph Theory written by Pasquale De Marco and has been published by Pasquale De Marco this book supported file pdf, txt, epub, kindle and other format this book has been release on 2025-03-09 with Mathematics categories.
Embark on a captivating journey through the world of topological graph theory, a captivating field that unveils the profound interplay between topology and graph theory. This comprehensive and engaging book offers a comprehensive exposition of the fundamental concepts, diverse applications, and recent advancements in topological graph theory, catering to a wide audience of mathematicians, computer scientists, and anyone fascinated by the intricate world of graphs and surfaces. Unravel the mysteries of graph imbeddings, delving into the intricate connections between graphs and surfaces. Explore the concept of genus, a captivating measure of the complexity of graph imbeddings, and uncover the profound implications of Ringel-Youngs theorem, a groundbreaking result that revolutionized the field of graph theory. Discover the wide-ranging applications of topological graph theory, spanning diverse fields such as computer science, network analysis, physics, and biology. Learn how topological graph theory empowers us to solve complex problems in network design, data analysis, and scientific modeling. Navigate through a wealth of captivating examples, illuminating figures, and thought-provoking exercises, all carefully crafted to enhance your understanding and deepen your appreciation for topological graph theory. Engage with the cutting-edge research and unsolved problems at the forefront of topological graph theory, gaining insights into the future directions and open challenges in this captivating field. Written with clarity and rigor, this book serves as an indispensable resource for mathematicians, computer scientists, and anyone seeking to delve into the captivating realm of topological graph theory. Whether you are a seasoned researcher, a budding student, or simply a curious explorer of the intricate world of graphs and networks, this book promises an enlightening and intellectually stimulating experience. If you like this book, write a review!
The Impact Of Applications On Mathematics
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Author : Masato Wakayama
language : en
Publisher: Springer
Release Date : 2014-07-18
The Impact Of Applications On Mathematics written by Masato Wakayama and has been published by Springer this book supported file pdf, txt, epub, kindle and other format this book has been release on 2014-07-18 with Mathematics categories.
This book is a collection of papers presented at the Forum “The Impact of Applications on Mathematics” in October 2013. It describes an appropriate framework in which to highlight how real-world problems, over the centuries and today, have influenced and are influencing the development of mathematics and thereby, how mathematics is reshaped, in order to advance mathematics and its application. The contents of this book address productive and successful interaction between industry and mathematicians, as well as the cross-fertilization and collaboration that result when mathematics is involved with the advancement of science and technology.
Combinatorial Geometry With Applications To Field Theory Second Edition Graduate Textbook In Mathematics
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Author : Linfan Mao
language : en
Publisher: Infinite Study
Release Date : 2011
Combinatorial Geometry With Applications To Field Theory Second Edition Graduate Textbook In Mathematics written by Linfan Mao and has been published by Infinite Study this book supported file pdf, txt, epub, kindle and other format this book has been release on 2011 with Combinatorial geometry categories.
Proceedings Of The Fourteenth Annual Acm Siam Symposium On Discrete Algorithms
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Author :
language : en
Publisher: SIAM
Release Date : 2003-01-01
Proceedings Of The Fourteenth Annual Acm Siam Symposium On Discrete Algorithms written by and has been published by SIAM this book supported file pdf, txt, epub, kindle and other format this book has been release on 2003-01-01 with Mathematics categories.
From the January 2003 symposium come just over 100 papers addressing a range of topics related to discrete algorithms. Examples of topics covered include packing Steiner trees, counting inversions in lists, directed scale-free graphs, quantum property testing, and improved results for directed multicut. The papers were not formally refereed, but attempts were made to verify major results. Annotation (c)2003 Book News, Inc., Portland, OR (booknews.com)