Submodular Functions and Electrical Networks - read free eBook in online reader or directly download on the web page. Select files or add your book in reader. Download and read online ebook Submodular Functions and Electrical Networks write by H. Narayanan. This book was released on 1997-05. Submodular Functions and Electrical Networks available in PDF, EPUB and Kindle. There is a strong case for electrical network topologists and submodular function theorists being aware of each other's fields. Presenting a topological approach to electrical network theory, this book demonstrates the strong links that exist between submodular functions and electrical networks. The book contains: . a detailed discussion of graphs, matroids, vector spaces and the algebra of generalized minors, relevant to network analysis (particularly to the construction of efficient circuit simulators) . a detailed discussion of submodular function theory in its own right; topics covered include, various operations, dualization, convolution and Dilworth truncation as well as the related notions of prinicpal partition and principal lattice of partitions. In order to make the book useful to a wide audience, the material on electrical networks and that on submodular functions is presented independently of each other. The hybrid rank problem, the bridge between (topological) electrical network theory and submodular functions, is covered in the final chapter. The emphasis in the book is on low complexity algorithms, particularly based on bipartite graphs. The book is intended for self-study and is recommended to designers of VLSI algorithms. More than 300 problems, almost all of them with solutions, are included at the end of each chapter.
Submodular Functions and Electrical Networks. Annals of Discrete Mathematics, Volume 54
Submodular Functions and Electrical Networks. Annals of Discrete Mathematics, Volume 54 - read free eBook in online reader or directly download on the web page. Select files or add your book in reader. Download and read online ebook Submodular Functions and Electrical Networks. Annals of Discrete Mathematics, Volume 54 write by H. Narayanan. This book was released on 1997. Submodular Functions and Electrical Networks. Annals of Discrete Mathematics, Volume 54 available in PDF, EPUB and Kindle. There is a strong case for electrical network topologists and submodular function theorists being aware of each other's fields. Presenting a topological approach to electrical network theory, this text demonstrates the strong links that exist between submodular functions and electrical networks. The book contains:a detailed discussion of graphs, matroids, vector spaces and the algebra of generalized minors; relevant to network analysis (particularly to the construction of efficient circuit simulators); and a detailed discussion of submodular function theory in its own right. Topics covered inc.
Submodular Functions and Optimization
Submodular Functions and Optimization - read free eBook in online reader or directly download on the web page. Select files or add your book in reader. Download and read online ebook Submodular Functions and Optimization write by Satoru Fujishige. This book was released on 2005-07-26. Submodular Functions and Optimization available in PDF, EPUB and Kindle. It has widely been recognized that submodular functions play essential roles in efficiently solvable combinatorial optimization problems. Since the publication of the 1st edition of this book fifteen years ago, submodular functions have been showing further increasing importance in optimization, combinatorics, discrete mathematics, algorithmic computer science, and algorithmic economics, and there have been made remarkable developments of theory and algorithms in submodular functions. The 2nd edition of the book supplements the 1st edition with a lot of remarks and with new two chapters: "Submodular Function Minimization" and "Discrete Convex Analysis." The present 2nd edition is still a unique book on submodular functions, which is essential to students and researchers interested in combinatorial optimization, discrete mathematics, and discrete algorithms in the fields of mathematics, operations research, computer science, and economics. - Self-contained exposition of the theory of submodular functions - Selected up-to-date materials substantial to future developments - Polyhedral description of Discrete Convex Analysis - Full description of submodular function minimization algorithms - Effective insertion of figures - Useful in applied mathematics, operations research, computer science, and economics
Submodular Functions and Optimization
Submodular Functions and Optimization - read free eBook in online reader or directly download on the web page. Select files or add your book in reader. Download and read online ebook Submodular Functions and Optimization write by S. Fujishige. This book was released on 1991-01-24. Submodular Functions and Optimization available in PDF, EPUB and Kindle. The importance of submodular functions has been widely recognized in recent years in combinatorial optimization. This is the first book devoted to the exposition of the theory of submodular functions from an elementary technical level to an advanced one. A unifying view of the theory is shown by means of base polyhedra and duality for submodular and supermodular systems. Among the subjects treated are: neoflows (submodular flows, independent flows, polymatroidal flows), submodular analysis (submodular programs, duality, Lagrangian functions, principal partitions), nonlinear optimization with submodular constraints (lexicographically optimal bases, fair resource allocation). Special emphasis is placed on the constructive aspects of the theory, which lead to practical, efficient algorithms.
Handbook of Graph Theory, Combinatorial Optimization, and Algorithms
Handbook of Graph Theory, Combinatorial Optimization, and Algorithms - read free eBook in online reader or directly download on the web page. Select files or add your book in reader. Download and read online ebook Handbook of Graph Theory, Combinatorial Optimization, and Algorithms write by Krishnaiyan "KT" Thulasiraman. This book was released on 2016-01-05. Handbook of Graph Theory, Combinatorial Optimization, and Algorithms available in PDF, EPUB and Kindle. The fusion between graph theory and combinatorial optimization has led to theoretically profound and practically useful algorithms, yet there is no book that currently covers both areas together. Handbook of Graph Theory, Combinatorial Optimization, and Algorithms is the first to present a unified, comprehensive treatment of both graph theory and c
