Statements (22)
| Predicate | Object |
|---|---|
| gptkbp:instanceOf |
gptkb:mathematical_concept
|
| gptkbp:alsoKnownAs |
coin problem
|
| gptkbp:application |
gptkb:algebra
combinatorics optimization |
| gptkbp:appliesTo |
set of coprime positive integers
|
| gptkbp:complexity |
NP-hard (for general case)
|
| gptkbp:concerns |
nonnegative integer combinations
|
| gptkbp:field |
number theory
|
| gptkbp:FrobeniusNumberFormulaForTwo |
ab - a - b (for coprime a, b)
|
| https://www.w3.org/2000/01/rdf-schema#label |
Frobenius number problem
|
| gptkbp:introducedIn |
1884
|
| gptkbp:namedAfter |
gptkb:Ferdinand_Georg_Frobenius
|
| gptkbp:relatedTo |
gptkb:Diophantine_equations
integer programming semigroup theory |
| gptkbp:solutionKnownFor |
two numbers
|
| gptkbp:solutionUnknownFor |
three or more numbers (no general formula)
|
| gptkbp:studiedBy |
gptkb:James_Joseph_Sylvester
|
| gptkbp:type |
largest integer not representable as a nonnegative integer combination of given positive integers
|
| gptkbp:bfsParent |
gptkb:Frobenius_coin_problem
|
| gptkbp:bfsLayer |
6
|