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Investigating Solvability And Complexity Of Linear Active Networks By Means Of Matroids
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Book Synopsis Matroid Theory and its Applications in Electric Network Theory and in Statics by : Andras Recski
Download or read book Matroid Theory and its Applications in Electric Network Theory and in Statics written by Andras Recski and published by Springer Science & Business Media. This book was released on 2013-06-29 with total page 542 pages. Available in PDF, EPUB and Kindle. Book excerpt: I. The topics of this book The concept of a matroid has been known for more than five decades. Whitney (1935) introduced it as a common generalization of graphs and matrices. In the last two decades, it has become clear how important the concept is, for the following reasons: (1) Combinatorics (or discrete mathematics) was considered by many to be a collection of interesting, sometimes deep, but mostly unrelated ideas. However, like other branches of mathematics, combinatorics also encompasses some gen eral tools that can be learned and then applied, to various problems. Matroid theory is one of these tools. (2) Within combinatorics, the relative importance of algorithms has in creased with the spread of computers. Classical analysis did not even consider problems where "only" a finite number of cases were to be studied. Now such problems are not only considered, but their complexity is often analyzed in con siderable detail. Some questions of this type (for example, the determination of when the so called "greedy" algorithm is optimal) cannot even be answered without matroidal tools.
Book Synopsis Systems Analysis by Graphs and Matroids by : Kazuo Murota
Download or read book Systems Analysis by Graphs and Matroids written by Kazuo Murota and published by Springer Science & Business Media. This book was released on 2012-12-06 with total page 292 pages. Available in PDF, EPUB and Kindle. Book excerpt: Recent technology involves large-scale physical or engineering systems consisting of thousands of interconnected elementary units. This monograph illustrates how engineering problems can be solved using the recent results of combinatorial mathematics through appropriate mathematical modeling. The structural solvability of a system of linear or nonlinear equations as well as the structural controllability of a linear time-invariant dynamical system are treated by means of graphs and matroids. Special emphasis is laid on the importance of relevant physical observations to successful mathematical modelings. The reader will become acquainted with the concepts of matroid theory and its corresponding matroid theoretical approach. This book is of interest to graduate students and researchers.
Book Synopsis Matrices and Matroids for Systems Analysis by : Kazuo Murota
Download or read book Matrices and Matroids for Systems Analysis written by Kazuo Murota and published by Springer Science & Business Media. This book was released on 2009-10-27 with total page 491 pages. Available in PDF, EPUB and Kindle. Book excerpt: A matroid is an abstract mathematical structure that captures combinatorial properties of matrices. This book offers a unique introduction to matroid theory, emphasizing motivations from matrix theory and applications to systems analysis. This book serves also as a comprehensive presentation of the theory and application of mixed matrices, developed primarily by the present author in the 1990's. A mixed matrix is a convenient mathematical tool for systems analysis, compatible with the physical observation that "fixed constants" and "system parameters" are to be distinguished in the description of engineering systems. This book will be extremely useful to graduate students and researchers in engineering, mathematics and computer science. From the reviews: "...The book has been prepared very carefully, contains a lot of interesting results and is highly recommended for graduate and postgraduate students." András Recski, Mathematical Reviews Clippings 2000m:93006
Book Synopsis Mathematical Programming The State of the Art by : A. Bachem
Download or read book Mathematical Programming The State of the Art written by A. Bachem and published by Springer Science & Business Media. This book was released on 2012-12-06 with total page 662 pages. Available in PDF, EPUB and Kindle. Book excerpt: In the late forties, Mathematical Programming became a scientific discipline in its own right. Since then it has experienced a tremendous growth. Beginning with economic and military applications, it is now among the most important fields of applied mathematics with extensive use in engineering, natural sciences, economics, and biological sciences. The lively activity in this area is demonstrated by the fact that as early as 1949 the first "Symposium on Mathe matical Programming" took place in Chicago. Since then mathematical programmers from all over the world have gath ered at the intfrnational symposia of the Mathematical Programming Society roughly every three years to present their recent research, to exchange ideas with their colleagues and to learn about the latest developments in their own and related fields. In 1982, the XI. International Symposium on Mathematical Programming was held at the University of Bonn, W. Germany, from August 23 to 27. It was organized by the Institut fUr Okonometrie und Operations Re search of the University of Bonn in collaboration with the Sonderforschungs bereich 21 of the Deutsche Forschungsgemeinschaft. This volume constitutes part of the outgrowth of this symposium and docu ments its scientific activities. Part I of the book contains information about the symposium, welcoming addresses, lists of committees and sponsors and a brief review about the Ful kerson Prize and the Dantzig Prize which were awarded during the opening ceremony.
Book Synopsis Handbook of Combinatorics by : R.L. Graham
Download or read book Handbook of Combinatorics written by R.L. Graham and published by Elsevier. This book was released on 1995-12-11 with total page 2404 pages. Available in PDF, EPUB and Kindle. Book excerpt: Handbook of Combinatorics
Book Synopsis 1980 IEEE International Symposium on Circuits and Systems by :
Download or read book 1980 IEEE International Symposium on Circuits and Systems written by and published by . This book was released on 1980 with total page 1278 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book Graphs written by K. Thulasiraman and published by John Wiley & Sons. This book was released on 2011-03-29 with total page 480 pages. Available in PDF, EPUB and Kindle. Book excerpt: This adaptation of an earlier work by the authors is a graduate text and professional reference on the fundamentals of graph theory. It covers the theory of graphs, its applications to computer networks and the theory of graph algorithms. Also includes exercises and an updated bibliography.
Book Synopsis Proceedings of the Conference on Probability Theory by :
Download or read book Proceedings of the Conference on Probability Theory written by and published by . This book was released on 1981 with total page 562 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book Proceedings written by and published by . This book was released on 1970 with total page 978 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book 数理科学講究錄 written by and published by . This book was released on 1980 with total page 960 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis SIAM Journal on Algebraic and Discrete Methods by : Society for Industrial and Applied Mathematics
Download or read book SIAM Journal on Algebraic and Discrete Methods written by Society for Industrial and Applied Mathematics and published by . This book was released on 1987 with total page 876 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis Circuit Theory and Design by : George S. Moschytz
Download or read book Circuit Theory and Design written by George S. Moschytz and published by . This book was released on 1978 with total page 640 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis Combinatorial Optimization II by : V. J. Rayward-Smith
Download or read book Combinatorial Optimization II written by V. J. Rayward-Smith and published by North Holland. This book was released on 1980 with total page 156 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis Matroid Theory and Its Applications by : Adriano Barlotti
Download or read book Matroid Theory and Its Applications written by Adriano Barlotti and published by . This book was released on 1982 with total page 434 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis Optimization, Design of Experiments and Graph Theory by : M. N. Gopalan
Download or read book Optimization, Design of Experiments and Graph Theory written by M. N. Gopalan and published by . This book was released on 1988 with total page 538 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis Mathematical Reviews by : American Mathematical Society
Download or read book Mathematical Reviews written by American Mathematical Society and published by American Mathematical Society(RI). This book was released on 1986-12 with total page 828 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book Mathematical Programming Study written by and published by . This book was released on 1980 with total page 624 pages. Available in PDF, EPUB and Kindle. Book excerpt:
