[HTML][HTML] On saturating sets in projective spaces
AA Davydov, S Marcugini, F Pambianco - Journal of Combinatorial Theory …, 2003 - Elsevier
AA Davydov, S Marcugini, F Pambianco
Journal of Combinatorial Theory, Series A, 2003•ElsevierMinimal saturating sets in projective spaces PG (n, q) are considered. Estimates and exact
values of some extremal parameters are given. In particular the greatest cardinality of a
minimal 1-saturating set has been determined. A concept of saturating density is introduced.
It allows to obtain new lower bounds for the smallest minimal saturating sets. A number of
exhaustive results for small q are obtained. Many new small 1-saturating sets in PG (2, q),
q⩽ 587, are constructed by computer.
values of some extremal parameters are given. In particular the greatest cardinality of a
minimal 1-saturating set has been determined. A concept of saturating density is introduced.
It allows to obtain new lower bounds for the smallest minimal saturating sets. A number of
exhaustive results for small q are obtained. Many new small 1-saturating sets in PG (2, q),
q⩽ 587, are constructed by computer.
Minimal saturating sets in projective spaces PG(n,q) are considered. Estimates and exact values of some extremal parameters are given. In particular the greatest cardinality of a minimal 1-saturating set has been determined. A concept of saturating density is introduced. It allows to obtain new lower bounds for the smallest minimal saturating sets. A number of exhaustive results for small q are obtained. Many new small 1-saturating sets in PG(2,q), q⩽587 , are constructed by computer.
Elsevier
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