Submodular Functions and Electrical Networks - Annals of Discrete Mathematics v. 54 (Hardback)H. Narayanan (author)
Hardback Published: 01/05/1997
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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 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 text 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.
Publisher: Elsevier Science & Technology
Weight: 1383 g
Dimensions: 254 x 178 mm
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