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Proper caterpillars are distinguished by their symmetric chromatic function

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 نشر من قبل Jos\\'e Aliste-Prieto
 تاريخ النشر 2012
  مجال البحث
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This paper deals with the so-called Stanley conjecture, which asks whether they are non-isomorphic trees with the same symmetric function generalization of the chromatic polynomial. By establishing a correspondence between caterpillars trees and integer compositions, we prove that caterpillars in a large class (we call trees in this class proper) have the same symmetric chromatic function generalization of the chromatic polynomial if and only if they are isomorphic.



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