DMTCS Proceedings, 2005 European Conference on Combinatorics, Graph Theory and Applications (EuroComb '05)

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DMTCS Conference vol AE (2005), pp. 335-340

DMTCS

2005 European Conference on Combinatorics, Graph Theory and Applications (EuroComb '05)

Stefan Felsner (ed.)

DMTCS Conference Volume AE (2005), pp. 335-340


author: Vladimir Blinovsky
title: Sets of integers without
k+1
coprimes and with specified divisors
keywords: greatest common divisor, coprimes, squarefree numbers
abstract: We find the formula for the cardinality of maximal set of integers from
[1,…,n]
which does not contain
k+1
pairwise coprimes and has divisors from a specified set of primes. This formula is defined by the set of multiples of the generating set, which does not depend on
n.
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reference: Vladimir Blinovsky (2005), Sets of integers without
k+1
coprimes and with specified divisors, in 2005 European Conference on Combinatorics, Graph Theory and Applications (EuroComb '05), Stefan Felsner (ed.), Discrete Mathematics and Theoretical Computer Science Proceedings AE, pp. 335-340
bibtex: For a corresponding BibTeX entry, please consider our BibTeX-file.
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