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The number of spanning trees of the Cartesian product of regular graphs - MaRDI portal

The number of spanning trees of the Cartesian product of regular graphs (Q1719076)

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scientific article; zbMATH DE number 7017189
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The number of spanning trees of the Cartesian product of regular graphs
scientific article; zbMATH DE number 7017189

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    The number of spanning trees of the Cartesian product of regular graphs (English)
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    8 February 2019
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    Summary: The number of spanning trees in graphs or in networks is an important issue. The evaluation of this number not only is interesting from a mathematical (computational) perspective but also is an important measure of reliability of a network or designing electrical circuits. In this paper, a simple formula for the number of spanning trees of the Cartesian product of two regular graphs is investigated. Using this formula, the number of spanning trees of the four well-known regular networks can be simply taken into evaluation.
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