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On the polynomial of a path - MaRDI portal

On the polynomial of a path (Q800940)

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scientific article; zbMATH DE number 3878968
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On the polynomial of a path
scientific article; zbMATH DE number 3878968

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    On the polynomial of a path (English)
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    1984
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    Let \(A(P_ n)\) be 0-1 adjacency matrix of the path \(P_ n\) on n vertices. Let r(\(\lambda)\) be a polynomial of degree less than n and consider the matrix \(M=r(A(P_ n))\). In this paper all polynomials for which M is the adjacency matrix of a graph are determined.
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    path
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    adjacency matrix
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