Séminaire Lotharingien de Combinatoire, B59a (2008), 22 pp.
Gröbner Basis Techniques in Algebraic Combinatorics
Gröbner basis techniques
in the algebraic study of
triangulations of convex polytopes
as well as
of the number of faces of simplicial complexes
will be discussed.
Of these two traditional topics in combinatorics,
the first will be studied by using
initial ideals of toric ideals
and the second will be studied by using
generic initial ideals of monomial ideals.
Received: April 1, 2008.
Accepted: June 25, 2008.
Final Version: September 2, 2008.
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