Truncation Formulas for Invariant Polynomials of Matroids and Geometric Lattices

نویسندگان

  • Relinde Jurrius
  • Ruud Pellikaan
چکیده

This paper considers the truncation of matroids and geometric lattices. It is shown that the truncated matroid of a representable matroid is again representable. Truncation formulas are given for the coboundary and Möbius polynomial of a geometric lattice and the spectrum polynomial of a matroid, generalizing the truncation formula of the rank generating polynomial of a matroid by Britz. Mathematics Subject Classification (2010). 05B35.

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عنوان ژورنال:
  • Mathematics in Computer Science

دوره 6  شماره 

صفحات  -

تاریخ انتشار 2012