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Polynomials on graphs - MaRDI portal

Polynomials on graphs (Q1102307)

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scientific article; zbMATH DE number 4049685
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Polynomials on graphs
scientific article; zbMATH DE number 4049685

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    Polynomials on graphs (English)
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    1987
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    Let G be a simple graph with adjacency matrix A and p(x) a polynomial with rational coefficients. If p(A) is a (0,1)-matrix, the graph whose adjacency matrix is p(A) is called a polynomial in G and is denoted by p(G). Polynomials in distance-regular graphs are determined in this paper. Automorphism groups and spectra of graphs and their polynomials are also studied.
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    adjacency matrix
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    polynomial
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    distance-regular graphs
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    Automorphism groups
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    spectra of graphs
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