Theory And Application Of Graphs
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Theory and Application of Graphs
Author | : Junming Xu |
Publsiher | : Springer Science & Business Media |
Total Pages | : 346 |
Release | : 2003-07-31 |
Genre | : Mathematics |
ISBN | : 1402075405 |
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In the spectrum of mathematics, graph theory which studies a mathe matical structure on a set of elements with a binary relation, as a recognized discipline, is a relative newcomer. In recent three decades the exciting and rapidly growing area of the subject abounds with new mathematical devel opments and significant applications to real-world problems. More and more colleges and universities have made it a required course for the senior or the beginning postgraduate students who are majoring in mathematics, computer science, electronics, scientific management and others. This book provides an introduction to graph theory for these students. The richness of theory and the wideness of applications make it impossi ble to include all topics in graph theory in a textbook for one semester. All materials presented in this book, however, I believe, are the most classical, fundamental, interesting and important. The method we deal with the mate rials is to particularly lay stress on digraphs, regarding undirected graphs as their special cases. My own experience from teaching out of the subject more than ten years at University of Science and Technology of China (USTC) shows that this treatment makes hardly the course di:fficult, but much more accords with the essence and the development trend of the subject.
Graph Theory with Applications
Author | : John Adrian Bondy,U. S. R. Murty |
Publsiher | : London : Macmillan Press |
Total Pages | : 290 |
Release | : 1976 |
Genre | : Mathematics |
ISBN | : UCSD:31822011897709 |
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Introduction to Graph Theory
Author | : Koh Khee Meng,Dong Fengming,Tay Eng Guan |
Publsiher | : World Scientific Publishing Company |
Total Pages | : 244 |
Release | : 2007-03-15 |
Genre | : Mathematics |
ISBN | : 9789813101630 |
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Graph theory is an area in discrete mathematics which studies configurations (called graphs) involving a set of vertices interconnected by edges. This book is intended as a general introduction to graph theory and, in particular, as a resource book for junior college students and teachers reading and teaching the subject at H3 Level in the new Singapore mathematics curriculum for junior college. The book builds on the verity that graph theory at this level is a subject that lends itself well to the development of mathematical reasoning and proof.
Graph Theory Applications
Author | : L.R. Foulds |
Publsiher | : Springer Science & Business Media |
Total Pages | : 389 |
Release | : 2012-12-06 |
Genre | : Mathematics |
ISBN | : 9781461209331 |
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The first part of this text covers the main graph theoretic topics: connectivity, trees, traversability, planarity, colouring, covering, matching, digraphs, networks, matrices of a graph, graph theoretic algorithms, and matroids. These concepts are then applied in the second part to problems in engineering, operations research, and science as well as to an interesting set of miscellaneous problems, thus illustrating their broad applicability. Every effort has been made to present applications that use not merely the notation and terminology of graph theory, but also its actual mathematical results. Some of the applications, such as in molecular evolution, facilities layout, and graffic network design, have never appeared before in book form. Written at an advanced undergraduate to beginning graduate level, this book is suitable for students of mathematics, engineering, operations research, computer science, and physical sciences as well as for researchers and practitioners with an interest in graph theoretic modelling.
Theory and Application of Graphs
Author | : Junming Xu |
Publsiher | : Springer Science & Business Media |
Total Pages | : 343 |
Release | : 2013-11-27 |
Genre | : Mathematics |
ISBN | : 9781441986986 |
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In the spectrum of mathematics, graph theory which studies a mathe matical structure on a set of elements with a binary relation, as a recognized discipline, is a relative newcomer. In recent three decades the exciting and rapidly growing area of the subject abounds with new mathematical devel opments and significant applications to real-world problems. More and more colleges and universities have made it a required course for the senior or the beginning postgraduate students who are majoring in mathematics, computer science, electronics, scientific management and others. This book provides an introduction to graph theory for these students. The richness of theory and the wideness of applications make it impossi ble to include all topics in graph theory in a textbook for one semester. All materials presented in this book, however, I believe, are the most classical, fundamental, interesting and important. The method we deal with the mate rials is to particularly lay stress on digraphs, regarding undirected graphs as their special cases. My own experience from teaching out of the subject more than ten years at University of Science and Technology of China (USTC) shows that this treatment makes hardly the course di:fficult, but much more accords with the essence and the development trend of the subject.
Graph Theory with Algorithms and its Applications
Author | : Santanu Saha Ray |
Publsiher | : Springer Science & Business Media |
Total Pages | : 223 |
Release | : 2012-11-02 |
Genre | : Technology & Engineering |
ISBN | : 9788132207504 |
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The book has many important features which make it suitable for both undergraduate and postgraduate students in various branches of engineering and general and applied sciences. The important topics interrelating Mathematics & Computer Science are also covered briefly. The book is useful to readers with a wide range of backgrounds including Mathematics, Computer Science/Computer Applications and Operational Research. While dealing with theorems and algorithms, emphasis is laid on constructions which consist of formal proofs, examples with applications. Uptill, there is scarcity of books in the open literature which cover all the things including most importantly various algorithms and applications with examples.
Theory and Applications of Graphs
Author | : Y. Alavi,D.R. Lick |
Publsiher | : Springer |
Total Pages | : 650 |
Release | : 2006-11-14 |
Genre | : Mathematics |
ISBN | : 9783540359128 |
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The Theory of Graphs
Author | : Claude Berge |
Publsiher | : Courier Corporation |
Total Pages | : 276 |
Release | : 2001-01-01 |
Genre | : Mathematics |
ISBN | : 0486419754 |
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Concise, well-written text illustrates development of graph theory and application of its principles in methods both formal and abstract. Practical examples explain theory's broad range, from behavioral sciences, information theory, cybernetics, and other areas, to mathematical disciplines such as set and matrix theory. 1966 edition. Includes 109 black-and-white illustrations.