2005 European Conference on Combinatorics, Graph Theory and Applications (EuroComb '05)
Stefan Felsner (ed.)
DMTCS Conference Volume AE (2005), pp. 335340
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. 335340

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