Skolem sequence

GPTKB entity

Statements (13)
Predicate Object
gptkbp:instanceOf gptkb:mathematical_concept
gptkbp:application graph theory
design theory
gptkbp:defines A sequence of 2n numbers in which each integer from 1 to n appears twice, and the two occurrences of the integer k are k places apart.
gptkbp:existence A Skolem sequence of order n exists if and only if n ≡ 0 or 1 (mod 4).
gptkbp:field combinatorics
gptkbp:firstDescribed 1957
https://www.w3.org/2000/01/rdf-schema#label Skolem sequence
gptkbp:namedAfter gptkb:Thoralf_Skolem
gptkbp:relatedTo gptkb:Langford_sequence
gptkbp:usedIn construction of Steiner triple systems
gptkbp:bfsParent gptkb:Thoralf_Skolem
gptkbp:bfsLayer 5