The number of outside corners of monomial ideals

[摘要] The outside corners of a monomial ideal are the maximal standard monomials module that ideal. Let c(n)(p) be the maximal number of outside corners of any monomial ideal generated by p monomials in n variables. We show that c(n)(p) = Theta(p([n/2])) for fixed n. An exact calculation for n = 4 shows that the function c(n)(p) is not a polynomial in p. (C) 1997 Elsevier Science B.V.

[发布日期] 1997-05-01

[效力级别]  Proceedings Paper