Finite Graphs And Networks
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Finite Graphs And Networks
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Author : Robert G. Busacker
language : en
Publisher:
Release Date : 1965
Finite Graphs And Networks written by Robert G. Busacker and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1965 with Mathematics categories.
Graphs And Networks
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Author : Armen H. Zemanian
language : en
Publisher: Springer Science & Business Media
Release Date : 2012-12-06
Graphs And Networks written by Armen H. Zemanian 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 2012-12-06 with Mathematics categories.
Scientia Gratiii Scientiae It is now thirteen years since the first book that discusses transfinite graphs and elec trical networks appeared [50]. This was followed by two more books [51] and [54] which compiled results from an ongoing research effort on that subject. Why then is a fourth book, this one, being offered? Simply because still more has been achieved beyond that appearing in those prior books. An exposition of these more recent re sults is the purpose of this book. The idea of transfiniteness for graphs and networks appeared as virgin research territory about seventeen years ago. Notwithstanding the progress that has since been achieved, much more remains to be done-or so it appears. Many conclusions con cerning conventionally infinite graphs and networks can be reformulated as open problems for transfinite graphs and networks. Furthermore, questions peculiar to transfinite concepts for graphs and networks can be suggested. Indeed, these two considerations have inspired the new results displayed herein.
Random Graphs And Complex Networks
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Author : Remco van der Hofstad
language : en
Publisher: Cambridge University Press
Release Date : 2017
Random Graphs And Complex Networks written by Remco van der Hofstad 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 2017 with Computers categories.
This classroom-tested text is the definitive introduction to the mathematics of network science, featuring examples and numerous exercises.
Finite Graphs And Networks
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Author : Robert G. Busacker
language : en
Publisher:
Release Date : 1972
Finite Graphs And Networks written by Robert G. Busacker and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1972 with categories.
Complex Graphs And Networks
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Author : Fan R. K. Chung
language : en
Publisher: American Mathematical Soc.
Release Date : 2006
Complex Graphs And Networks written by Fan R. K. Chung and has been published by American Mathematical Soc. this book supported file pdf, txt, epub, kindle and other format this book has been release on 2006 with Computers categories.
Graph theory is a primary tool for detecting numerous hidden structures in various information networks, including Internet graphs, social networks, biological networks, or any graph representing relations in massive data sets. This book explains the universal and ubiquitous coherence in the structure of these realistic but complex networks.
Graphs And Networks
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Author : Armen H. Zemanian
language : en
Publisher: Springer Science & Business Media
Release Date : 2004-05-13
Graphs And Networks written by Armen H. Zemanian 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 2004-05-13 with Computers categories.
This self-contained book examines results on transfinite graphs and networks achieved through a continuing research effort during the past several years. These new results, covering the mathematical theory of electrical circuits, are different from those presented in two previously published books by the author, Transfiniteness for Graphs, Electrical Networks, and Random Walks and Pristine Transfinite Graphs and Permissive Electrical Networks. Two initial chapters present the preliminary theory summarizing all essential ideas needed for the book and will relieve the reader from any need to consult those prior books. Subsequent chapters are devoted entirely to novel results and cover: * Connectedness ideas---considerably more complicated for transfinite graphs as compared to those of finite or conventionally infinite graphs----and their relationship to hypergraphs * Distance ideas---which play an important role in the theory of finite graphs---and their extension to transfinite graphs with more complications, such as the replacement of natural-number distances by ordinal-number distances * Nontransitivity of path-based connectedness alleviated by replacing paths with walks, leading to a more powerful theory for transfinite graphs and networks Additional features include: * The use of nonstandard analysis in novel ways that leads to several entirely new results concerning hyperreal operating points for transfinite networks and hyperreal transients on transfinite transmission lines; this use of hyperreals encompasses for the first time transfinite networks and transmission lines containing inductances and capacitances, in addition to resistances * A useful appendix with concepts from nonstandard analysis used in the book * May serve as a reference text or as a graduate-level textbook in courses or seminars Graphs and Networks: Transfinite and Nonstandard will appeal to a diverse readership, including graduate students, electrical engineers, mathematicians, and physicists working on infinite electrical networks. Moreover, the growing and presently substantial number of mathematicians working in nonstandard analysis may well be attracted by the novel application of the analysis employed in the work.
Graphs Networks And Algorithms
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Author : Dieter Jungnickel
language : en
Publisher: Springer Science & Business Media
Release Date : 2005
Graphs Networks And Algorithms written by Dieter Jungnickel 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 2005 with Computers categories.
"This thoroughly revised new edition offers a new chapter on the network simplex algorithm and a section on the five color theorem. Moreover, numerous smaller changes and corrections have been made and several recent developments have been discussed and referenced."--BOOK JACKET.Title Summary field provided by Blackwell North America, Inc. All Rights Reserved
Pristine Transfinite Graphs And Permissive Electrical Networks
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Author : Armen H. Zemanian
language : en
Publisher: Springer Science & Business Media
Release Date : 2012-12-06
Pristine Transfinite Graphs And Permissive Electrical Networks written by Armen H. Zemanian 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 2012-12-06 with Mathematics categories.
A transfinite graph or electrical network of the first rank is obtained conceptually by connecting conventionally infinite graphs and networks together at their infinite extremities. This process can be repeated to obtain a hierarchy of transfiniteness whose ranks increase through the countable ordinals. This idea, which is of recent origin, has enriched the theories of graphs and networks with radically new constructs and research problems. The book provides a more accessible introduction to the subject that, though sacrificing some generality, captures the essential ideas of transfiniteness for graphs and networks. Thus, for example, some results concerning discrete potentials and random walks on transfinite networks can now be presented more concisely. Conversely, the simplifications enable the development of many new results that were previously unavailable. Topics and features: *A simplified exposition provides an introduction to transfiniteness for graphs and networks.*Various results for conventional graphs are extended transfinitely. *Minty's powerful analysis of monotone electrical networks is also extended transfinitely.*Maximum principles for node voltages in linear transfinite networks are established. *A concise treatment of random walks on transfinite networks is developed. *Conventional theory is expanded with radically new constructs. Mathematicians, operations researchers and electrical engineers, in particular, graph theorists, electrical circuit theorists, and probabalists will find an accessible exposition of an advanced subject.
Graphs Networks And Algorithms
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Author : Dieter Jungnickel
language : en
Publisher: Springer Science & Business Media
Release Date : 2013-06-29
Graphs Networks And Algorithms written by Dieter Jungnickel 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 2013-06-29 with Mathematics categories.
From the reviews of the German edition: "Combinatorial optimization, along with graph algorithms and complexity theory is booming. This book treats the most prominent problems which are polynomially solvable. The Traveling Salesman Problem is discussed as a paradigm of an NP-complete problem. The text is well written, most exercises are quite enlightening and the hints are clear. Algorithms are described very thoroughly. The list of references is impressive and gives good guidance for further reading. The book can be recommended to beginners as an introductory text as well as for research and industry as a reference." (OPTIMA) In this corrected 2nd printing of the first edition the author has made some small modifications: some minor mistakes were corrected and updates to the bibliography provided.
Introduction To Random Graphs
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Author : Alan Frieze
language : en
Publisher: Cambridge University Press
Release Date : 2016
Introduction To Random Graphs written by Alan Frieze 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 2016 with Mathematics categories.
The text covers random graphs from the basic to the advanced, including numerous exercises and recommendations for further reading.