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Foundations of electrical network theory
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1-factor 1-factorial connections 2-trees admittance associated directed graph bipartite graph branch capacitors Chen Coates graph cofactors columns completes the proof components compute connected graph consider cotree cutset defined Definition degree pairs denoted determinant directed circuits directed graph obtained directed path directed trees directed-tree edge-disjoint edges of G electrical network elements equicofactor matrix Euler line example exercise Problem exists follows formulas function Gc(A graph G graph of fig graph theory graph transmission incidence matrix inductors integers invariant Lemma Let G linear linearly independent major submatrices Mason graph n-node node set nonnegative integers nonsingular number of directed number of edges obtained from G parallel edges planar graph presented in fig realizable reference node respectively result RLC network s)-digraph second-order cofactors sectional subgraph self-loops semifactors shown in fig submatrix subset symbol system of equations Theorem transformation trees of G two-port network undirected variables vector voltage zero