The Characteristic Polynomial of a Graph is Reconstructible from the Characteristic Polynomials of its Vertex-Deleted Subgraphs and Their Complements

نویسنده

  • Elias M. Hagos
چکیده

The question of whether the characteristic polynomial of a simple graph is uniquely determined by the characteristic polynomials of its vertex-deleted subgraphs is one of the many unresolved problems in graph reconstruction. In this paper we prove that the characteristic polynomial of a graph is reconstructible from the characteristic polynomials of the vertex-deleted subgraphs of the graph and its complement. AMS Classification Numbers: 05C60, 05C50

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عنوان ژورنال:
  • Electr. J. Comb.

دوره 7  شماره 

صفحات  -

تاریخ انتشار 2000