Exponential Lower Bound for Berge-Ramsey Problems

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

An exponential lower bound for Cunningham's rule

In this paper we give an exponential lower bound for Cunningham’s least recently considered (round-robin) rule as applied to parity games, Markhov decision processes and linear programs. This improves a recent subexponential bound of Friedmann for this rule on these problems. The round-robin rule fixes a cyclical order of the variables and chooses the next pivot variable starting from the previ...

متن کامل

New Lower Bound for Multicolor Ramsey Numbers for Even Cycles

For given finite family of graphs G1, G2, . . . , Gk, k ≥ 2, the multicolor Ramsey number R(G1, G2, . . . , Gk) is the smallest integer n such that if we arbitrarily color the edges of the complete graph on n vertices with k colors then there is always a monochromatic copy of Gi colored with i, for some 1 ≤ i ≤ k. We give a lower bound for k−color Ramsey number R(Cm, Cm, . . . , Cm), where m ≥ ...

متن کامل

A New Lower Bound For A Ramsey-Type Problem

The Ramsey number R(s,t) is the smallest integer n such that every graph on n vertices contains either a clique of size s or an independent set of size t. The problem of determining or estimating Ramsey numbers is one of the central problems in Combinatorics and it received a considerable amount of attention, see, e.g., [6]. A more general function was first considered (for a special case) by E...

متن کامل

A Lower Bound for Schur Numbers and Multicolor Ramsey Numbers

For k ≥ 5, we establish new lower bounds on the Schur numbers S(k) and on the k-color Ramsey numbers of K3. For integers m and n, let [m,n] denote the set {i |m ≤ i ≤ n}. A set S of integers is called sum-free if i, j ∈ S implies i + j 6∈ S, where we allow i = j. The Schur function S(k) is defined for all positive integers as the maximum n such that [1, n] can be partitioned into k sum-free set...

متن کامل

New Lower Bound Formulas for Multicolored Ramsey Numbers

We give two lower bound formulas for multicolored Ramsey numbers. These formulas improve the bounds for several small multicolored Ramsey numbers.

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: Graphs and Combinatorics

سال: 2021

ISSN: 0911-0119,1435-5914

DOI: 10.1007/s00373-021-02328-3