Deprecated: $wgMWOAuthSharedUserIDs=false is deprecated, set $wgMWOAuthSharedUserIDs=true, $wgMWOAuthSharedUserSource='local' instead [Called from MediaWiki\HookContainer\HookContainer::run in /var/www/html/w/includes/HookContainer/HookContainer.php at line 135] in /var/www/html/w/includes/Debug/MWDebug.php on line 372
Cyclically resolvable cyclic Steiner 2-systems S(2, 4, 52) - MaRDI portal

Cyclically resolvable cyclic Steiner 2-systems S(2, 4, 52) (Q5935442)

From MaRDI portal





scientific article; zbMATH DE number 1610269
Language Label Description Also known as
English
Cyclically resolvable cyclic Steiner 2-systems S(2, 4, 52)
scientific article; zbMATH DE number 1610269

    Statements

    Cyclically resolvable cyclic Steiner 2-systems S(2, 4, 52) (English)
    0 references
    0 references
    0 references
    0 references
    28 January 2002
    0 references
    cyclic Steiner 2-systems
    0 references
    0 references
    0 references
    0 references
    0 references
    0 references
    0 references
    This paper deals with cyclically resolvable cyclic Steiner 2-systems \(\text{S}(2,4,52)\), \(\text{CRCS}(2,4,52)\) for short. All such systems have been enumerated, and following are the main results.NEWLINENEWLINENEWLINETheorem. There are exactly six non-isomorphically cyclically resolvable cyclic Steiner 2-systems \(\text{CRCS}(2,4,52)\).NEWLINENEWLINENEWLINETheorem. There are at least seven non-isomorphic resolvable Steiner 2-systems \(\text{S}(2,4,52)\) among which six are cyclically resolvable cyclic Steiner 2-systems, and one is a cyclically resolvable \(1\)-rotational Steiner \(2\)-system.
    0 references

    Identifiers