A lower bound theorem for polytope pairs

نویسندگان

چکیده

برای دانلود باید عضویت طلایی داشته باشید

برای دانلود متن کامل این مقاله و بیش از 32 میلیون مقاله دیگر ابتدا ثبت نام کنید

اگر عضو سایت هستید لطفا وارد حساب کاربری خود شوید

منابع مشابه

A Lower Bound Theorem

Motivated by Candes and Donoho′s work (Candés, E J, Donoho, D L, Recovering edges in ill-posed inverse problems: optimality of curvelet frames. Ann. Stat. 30, 784-842 (2002)), this paper is devoted to giving a lower bound of minimax mean square errors for Riesz fractional integration transforms and Bessel transforms.

متن کامل

A Lower Bound for Adjacencies on the Traveling Salesman Polytope

We study adjacency of vertices on Tn, the asymmetric traveling salesman polytope of degree n. Applying a result of G. Boccara [Discrete Math., 29 (1980), pp. 105–134] to permutation groups, we show that Tn has Ω((n− 1)(n− 2)! 2 logn) edges, implying that the degree of a vertex of Tn is Ω((n− 2)! logn). We conjecture the degree to be Ω((n− 2)!(logn)) for any positive integer k. We compute the de...

متن کامل

An Improved Lower Bound for Folkman’s Theorem

Folkman’s theorem asserts that for each k ∈ N, there exists a natural number n = F (k) such that whenever the elements of [n] are two-coloured, there exists a set A ⊂ [n] of size k with the property that all the sums of the form ∑ x∈B x, where B is a nonempty subset of A, are contained in [n] and have the same colour. In 1989, Erdős and Spencer showed that F (k) ≥ 2ck2/ log , where c > 0 is an ...

متن کامل

Lower bound theorem for normal pseudomanifolds

In this paper we present a self-contained combinatorial proof of the lower bound theorem for normal pseudomanifolds, including a treatment of the cases of equality in this theorem. We also discuss McMullen and Walkup’s generalised lower bound conjecture for triangulated spheres in the context of the lower bound theorem. Finally, we pose a new lower bound conjecture for non-simply connected tria...

متن کامل

Razborov Disjointness Lower Bound , Forster ’ S Theorem

In this lecture, we show two results dealing with lower bounds in communication complexity. The first lower bound is an Ω(n) lower bound on the distributional complexity of Disjointness due to [3, 8]. Here we will present the simplified proof presented in [8]. In the second part, we will show how to obtain lower bounds on the unbounded error probabilistic communication complexity by Forster’s m...

متن کامل

ذخیره در منابع من


  با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید

ژورنال

عنوان ژورنال: Journal of Combinatorial Theory, Series A

سال: 1985

ISSN: 0097-3165

DOI: 10.1016/0097-3165(85)90068-8