Finite Graphs and Networks
Author | : Robert G. Busacker |
Publisher | : |
Total Pages | : 320 |
Release | : 1965 |
Genre | : Mathematics |
ISBN | : |
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Author | : Robert G. Busacker |
Publisher | : |
Total Pages | : 320 |
Release | : 1965 |
Genre | : Mathematics |
ISBN | : |
Author | : Robert G. Busacker |
Publisher | : |
Total Pages | : 0 |
Release | : 1965 |
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ISBN | : |
Author | : R.G. Busacker |
Publisher | : |
Total Pages | : 0 |
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Author | : |
Publisher | : |
Total Pages | : 294 |
Release | : 1965 |
Genre | : |
ISBN | : |
Author | : Michael Rudolph |
Publisher | : Cambridge University Press |
Total Pages | : |
Release | : 2022-05-12 |
Genre | : Computers |
ISBN | : 1009287834 |
Since the early eighteenth century, the theory of networks and graphs has matured into an indispensable tool for describing countless real-world phenomena. However, the study of large-scale features of a network often requires unrealistic limits, such as taking the network size to infinity or assuming a continuum. These asymptotic and analytic approaches can significantly diverge from real or simulated networks when applied at the finite scales of real-world applications. This book offers an approach to overcoming these limitations by introducing operator graph theory, an exact, non-asymptotic set of tools combining graph theory with operator calculus. The book is intended for mathematicians, physicists, and other scientists interested in discrete finite systems and their graph-theoretical description, and in delineating the abstract algebraic structures that characterise such systems. All the necessary background on graph theory and operator calculus is included for readers to understand the potential applications of operator graph theory.
Author | : |
Publisher | : Elsevier |
Total Pages | : 447 |
Release | : 1980-01-01 |
Genre | : Mathematics |
ISBN | : 0080871437 |
Graphs and Questionnaires
Author | : Robert G. Busacker |
Publisher | : |
Total Pages | : 320 |
Release | : 1965 |
Genre | : |
ISBN | : |
Author | : Narsingh Deo |
Publisher | : PHI Learning Pvt. Ltd. |
Total Pages | : 478 |
Release | : 1974 |
Genre | : Graph theory |
ISBN | : 9788120301450 |
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.
Author | : Armen H. Zemanian |
Publisher | : Springer Science & Business Media |
Total Pages | : 207 |
Release | : 2012-12-06 |
Genre | : Mathematics |
ISBN | : 0817681787 |
This self-contained book examines results on transfinite graphs and networks achieved through continued research effort over 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. Specific topics covered include connectedness ideas, distance ideas, and nontransitivity of connectedness. The book 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.
Author | : W K Chen |
Publisher | : World Scientific Publishing Company |
Total Pages | : 712 |
Release | : 1997-02-03 |
Genre | : Electrical engineering |
ISBN | : 9813104775 |
Graphs are extremely useful in modeling systems in physical sciences and engineering problems, because of their intuitive diagrammatic nature. This text gives a reasonably deep account of material closely related to engineering applications. Topics like directed-graph solutions of linear equations, topological analysis of linear systems, state equations, rectangle dissection and layouts, and network flows are included. A major theme of the book is electrical network theory. This book is basically intended as a reference text for researchers, and requires a certain level of mathematical maturity. However the text may equally well be used for graduate level courses on network topology and linear systems and circuits. Some of the later chapters are suitable as topics for advanced seminars. A special feature of the book is that references to other published literature are included for almost all the results presented, making the book especially handy for those wishing to continue with a study of special topics.