Reconstruction Conjecture - Recognizable Properties

Recognizable Properties

In context of the reconstruction conjecture, a graph property is called recognizable if one can determine the property from the deck of a graph. The following properties of graphs are recognizable:

  • Degree sequence
  • Tutte polynomial
  • Planarity
  • The types of spanning trees in a graph
  • Chromatic polynomial
  • Being a perfect graph or an interval graph, or some other subclasses of perfect graphs

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