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Gaussian Elimination
Graph Theory
Integrated Circuit
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Some applications of graph theory to network analysis and synthesis
Some applications of graph theory to network analysis and synthesis,10.1109/TCS.1984.1085419,IEEE Transactions on Circuits and Systems,ISRAEL CEDERBAU
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Some applications of graph theory to network analysis and synthesis
(
Citations: 2
)
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ISRAEL CEDERBAUM
This paper describes applications of
graph theory
to some of the problems of
network analysis
and synthesis, starting with the early days of network theory. The first section is devoted to the classical results related to the
topological analysis
of linear, passive, and transfornerless networks. Then it goes over to contributions dealing with generalization of these methods to networks with mutual couplings and active elements. Appearance of integrated circuits and digital computers provided both motivation and means for studying largescale systems. A part of the paper is devoted to publications on largescale
network analysis
dealing with diacoptics and graph theoretic methods for defining efficient
Gaussian elimination
algorithms for solution of sparse sets of linear algebraic equations. The part on topological synthesis starts with the early results dealing with relations between the structure and the properties of passive, reciprocal networks without mutual inductances. The last section is devoted to contributions in the field of topological synthesis of pure resistive networks dealing with such topics as conditions of realizability, minimal realizations and bounds on the number of portterminals.
Journal:
IEEE Transactions on Circuits and Systems
, vol. 31, no. 1, pp. 6468, 1984
DOI:
10.1109/TCS.1984.1085419
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Citation Context
(2)
...The concept of tree and cutset matrix is used in the [
6
] to calculate the fault current in nonradial power distribution system...
I. Ibraheem
,
et al.
Compatibility of network matrices and possible application in power sy...
...0780305930192 $3.00 1992 IEEE tree admittance products [
5
] and that all terms have the same sign...
...There have been several contributions [
5
] for the extension of this property to circuits containing active elements, in which case terms can have different signs...
Piet Wambacq
,
et al.
A cancellationfree algorithm for the symbolic simulation of large ana...
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Journal:
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A Flow Graph Method for the Analysis of Linear Systems
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(
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Journal:
IEEE Transactions on Circuit Theory
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Citations
(2)
Compatibility of network matrices and possible application in power system
I. Ibraheem
,
N. K. Sharma
,
P. Tiwari
Conference:
International Conference on Power Electronic Drives and Energy Systems for Industrial Growth  PEDES
, 2010
A cancellationfree algorithm for the symbolic simulation of large analog circuits
(
Citations: 17
)
Piet Wambacq
,
Georges Gielen
,
Willy Sansen
Conference:
IEEE International Symposium on Circuits and Systems  ISCAS
, 1992