On the reconstruction of the matching polynomial and the reconstruction conjecture (Q1820796)

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scientific article; zbMATH DE number 3995728
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English
On the reconstruction of the matching polynomial and the reconstruction conjecture
scientific article; zbMATH DE number 3995728

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    On the reconstruction of the matching polynomial and the reconstruction conjecture (English)
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    1987
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    It is shown that the matching polynomial is both node and edge reconstructible. Moreover, given a deck of vertex-deleted (or edge- deleted) graphs of an unknown graph G, a practical method is given which determines G and (if G is not reconstructible) all other graphs with the same deck.
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    node reconstructibility
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    edge reconstructibility
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    matching polynomial
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