SUBMODULAR FUNCTIONS AND ELECTRICAL NETWORKS By H. Narayanan
This book has grown out of an attempt to understand the role that the topology of an electrical network plays in its eacient analysis. The approach taken is to transform the problem of solving a network with a given topology, to that of solving another with a different topology (and same devices), but with additional inputs and constraints. An instance of this approach is network analysis by multiport decomposition - breaking up a network into multiports, solving these in terms of port variables and finally imposing the port connection conditions and getting the complete solution. The motivation for our approach is that of building more efficient circuit simulators, whether they are to run singly or in parallel. Some of the ideas contained in the book have already been implemented - BITSIM, the general purpose circuit simulator built at the VLSI Design Centre, I.I.T. Bombay, is based on the ‘topological hybrid analysis’ contained in this book and can further be adapted to use topological decomposition ideas.
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