Finding large 3-free sets I: The small n case

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

Finding large 3-free sets I: The small n case

There has been much work on the following question: given n, how large can a subset of {1, . . . , n} be that has no arithmetic progressions of length 3. We call such sets 3-free. Most of the work has been asymptotic. In this paper we sketch applications of large 3-free sets, present techniques to find large 3-free sets of {1, . . . , n} for n ≤ 250, and give empirical results obtained by codin...

متن کامل

Finding Large Independent Sets

This lecture deals with the problem of proper vertex colorings of graphs. More speciically, we are interested in coloring a given 3-colorable graph with as few colors as we can. It is easy to see that it is NP-Hard to nd a 3 coloring for any given 3-colorable graph-this would enable deciding whether a general graph is 3-colorable. If a polynomial-time algorithm existed for 3-coloring a 3-colora...

متن کامل

Finding Small Stubborn Sets Automatically

State space generation is often needed in the analysis of concurrent and distributed systems. The stubborn set method is one of the techniques that try to alleviate the state space explosion encountered in state space generation. An algorithm for nding a stubborn set having as few enabled transitions as possible is presented. Practicality of the algorithm is motivated with the aid of examples.

متن کامل

On Finding Small 2-Generating Sets

Given a set of positive integers S, we consider the problem of finding a minimum cardinality set of positive integers X (called a minimum 2-generating set of S) such that every element of S is an element of X or is the the sum of two (non-necessarily distinct) elements of X. We give some elementary properties of 2-generating sets and prove that finding a minimum cardinality 2-generating set is ...

متن کامل

Finding Groups in Large Data Sets

This paper aims to give an overview of methods to find groups in large data sets, such as household expenditure survey data. These methods are grouped in three: cluster analysis, dimension reduction and basic explorative methods. The emphasis is put on a critical analysis and potential drawbacks, especially of inputs that have to be provided by the researcher. These may impose some structure no...

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 Computer and System Sciences

سال: 2008

ISSN: 0022-0000

DOI: 10.1016/j.jcss.2007.06.002