Davenport–Schinzel sequence

GPTKB entity

Statements (21)
Predicate Object
gptkbp:instanceOf integer sequence
gptkbp:application gptkb:geometry
analysis of lower envelopes
gptkbp:definedIn a sequence of symbols with restrictions on alternations between pairs of symbols
gptkbp:field combinatorics
gptkbp:generalizes forbidden subsequence problems
https://www.w3.org/2000/01/rdf-schema#label Davenport–Schinzel sequence
gptkbp:introducedIn 1965
gptkbp:maximumLength lambda_s(n) for order s and n symbols
gptkbp:namedAfter gptkb:Harold_Davenport
gptkb:André_Schinzel
gptkbp:order parameter s in the definition
gptkbp:property no subsequence of the form a...b...a...b...a of length s+2 for order s
no two adjacent elements are equal
gptkbp:relatedTo arrangements of curves
envelope complexity
gptkbp:symbolSetSize parameter n in the definition
gptkbp:usedIn bounding the complexity of lower envelopes of functions
analyzing geometric algorithms
gptkbp:bfsParent gptkb:Harold_Davenport
gptkbp:bfsLayer 6