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THE MODIFIED DOUBLE-GRAPH METHOD FOR FINDING SYMBOLIC k-ORDER COFACTORS
求符号k阶余因式的变形双图法

Keywords: Graph theory,Modified double-graph,Graph determinant,Symbolic k-order cofactor
图论
,变形双图,图行列式,符号k阶余因式

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Abstract:

The concepts of k-order modified double-graphs and k-order modified matrices are introduced. By using them two new expressions of graph determinant C(Y) and k-order cofactor Y (ij) are deduced. Then the modified double-graph method is presented for finding symbolic k-order cofactors. By applying it a multi-layer expansion of Y (ij) can be found directly and efficiently (having no special sign evaluation poblem), and it produces no cancellation terms. Hence it is superior to the previous methods.

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