Abstract
In this paper, we introduce a binomial ideal P(Tn) on a simple
graph Tn obtained from n−triangulation of a 2−manifols. It is discussed
on two particular classes of n−triangulation graphs: the class Tn1
and the
class Tn2
. The Gro¨bner bases of the binomial ideals P(Tn1
) and P(Tn2
)
on n1−triangulation and n2−triangulation graphs Tn1
and Tn2
respectively are computed using a systematic way and it is shown that degree
of polynomials in the Gro¨bner bases of these n−triangulation graphs is
at most 5. Also, it is shown that the binomial ideals P(Tn1
) and Tn2
are
regular ideals.
Agha Kashif, Zahid Raza. (2020) A Binomial Ideal on Triangulations of 2−Manifolds, Punjab University Journal of Mathematics, Volume 52 , Issue No.5.
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