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Matching polynomials: A matrix approach and its applications - MaRDI portal

Matching polynomials: A matrix approach and its applications (Q1086253)

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scientific article; zbMATH DE number 3983220
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Matching polynomials: A matrix approach and its applications
scientific article; zbMATH DE number 3983220

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    Matching polynomials: A matrix approach and its applications (English)
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    1986
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    A new approach is formulated for the matching polynomial m(G) of a graph G. A matrix A(G) is associated with G. A certain function defined on A(G) yields the matching polynomial of G. This approach leads to a simple characterization of m(G). It also facilitates a technique for constructing graphs with a given matching polynomial.
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    construction
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    matching polynomial
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    matrix
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    characterization
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