Paper Info
Title
Improvement Of Mycielski Inequality For Nonnatural Disjoint Covering Systems Of Z
Abstract
If n i is a modulus of a DCS S , then by the Mycielski's inequality card( S ) ⩽ 1 + F ( n i ) (see eq. (1.2) for (scF) and the equality can be reached. This inequality is strengthened to card for every non-natural DCS S of the group ( Z , +) of integers. Moreover, if p 3 is the third smallest prime divisor of the common modulus of S , then card ( S ) ⩾ 1 + p 3 + F ( n i ). Further, (natural) DCS S of ( Z , +) are characterized for which card S ) = 1 + F ( n i ).
Year
DOI
Venue
1987
10.1016/0012-365X(87)90237-8
DISCRETE MATHEMATICS
Field
DocType
Volume
Integer,Discrete mathematics,Abelian group,Combinatorics,Disjoint sets,Modulus,Inequality,Prime factor,Covering system,Mathematics
Journal
64
Issue
ISSN
Citations 
1
0012-365X
2
PageRank 
References 
Authors
0.45
0
1
Name
Order
Citations
PageRank
Ivan Korec19821.18