A bound for Wilson’s general theorem

A bound for Wilson's theorem (III)

✍ Yanxun Chang 📂 Article 📅 1996 🏛 John Wiley and Sons 🌐 English ⚖ 486 KB 👁 1 views

In this article we prove the following statement. For any positive integers k 2 3 and A, let &A) =exp{exp{k'\*}}. If Av(v -1) = 0 (mod k(k -I)) and A(v -1) = 0 (mod k -1) and v > c ( k , A), then a B(v, k , A) exists. o 1996 John Wiley & Sons, Inc. ## 1. Introduction A painvise balanced design (or

A bound for Wilson's theorem (II)

✍ Yanxun Chang 📂 Article 📅 1996 🏛 John Wiley and Sons 🌐 English ⚖ 572 KB

In this article we prove the following theorem. For any ) ) and v -1 = 0 (mod k-1) and v > c ( k , l), then a B ( v , k , 1) exists.

A bound for wilson's theorem (I)

✍ Chang Yanxun 📂 Article 📅 1995 🏛 John Wiley and Sons 🌐 English ⚖ 571 KB

In 1975, Richard M. Wilson proved: Given any positive integers k 2 3 and A, there exists a constant vo = vo(k,A) such that v E B(k,A) for every integer v 2 YO that satisfies The proof given by Wilson does not provide an explicit value of VO. We try to find such a value vo(k,A). In this article we c

A lower bound for Ramsey's theorem

✍ Joram Hirschfeld 📂 Article 📅 1980 🏛 Elsevier Science 🌐 English ⚖ 291 KB

For every integer tz we denote by n the set {O, 1, . . . , n -1). We denote by En]" the collection of subsets of with exactly k elements. We call the elements of [n]" k-tuples and write thein dlown as (a,, . . . , a,) in the natural order: a, < a, c l . l < ak < n. A colouting 04 [nlk by r colours i

A generalization of the ray-chaudhuri-wi

A generalization of the ray-chaudhuri-wilson theorem

✍ Hunter S. Snevily 📂 Article 📅 1995 🏛 John Wiley and Sons 🌐 English ⚖ 161 KB 👁 1 views

Let K = {Itl,. . . , k,} and L ={I1,. . . , Z,} be two sets of non-negative integers and assume ki > l j for every i , j . Let T be an L-intersecting family of subsets of a set of n elements. Assume the size of every set in T is a number from K. We conjecture that 1 ' f l 5 (: ). We prove that our c

Ramsey's theorem—A new lower bound

✍ Joel Spencer 📂 Article 📅 1975 🏛 Elsevier Science 🌐 English ⚖ 280 KB