A combinatorial interpretation of the Conti-Contucci-Falcolini polynomial

  • Authors:

  • Federico Incitti

  • Affiliations:

  • Dipartimento di Matematica, Università "La Sapienza", Rome, Italy

  • Venue:
  • European Journal of Combinatorics
  • Year:
  • 2002

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Abstract

Conti et al. defined a two-variable polynomial associated with any rooted tree. In this paper we give an explicit combinatorial interpretation of the coefficients of this polynomial. In order to do this we introduce a special class of subtrees which seem to have never been considered before in the literature.