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Complementary trees in circuit theory

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1 Author(s)

In this paper we study the properties of complementary-tree graphs and describe the applications of such graphs in circuit theory. The applications include: 1) a topological method for inverting some special matrices, 2) a new proof of the unimodular property of the fundamental circuit and cutset matrices, and 3) a new characterization of the topological degree of freedom of a graph.

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Circuits and Systems, IEEE Transactions on  (Volume:27 ,  Issue: 10 )