Lomuto partition scheme
E459514
The Lomuto partition scheme is a simple, commonly taught method for partitioning arrays in the Quicksort algorithm by using a single index to separate elements less than a chosen pivot from those greater or equal.
All labels observed (1)
| Label | Occurrences |
|---|---|
| Lomuto partition scheme canonical | 2 |
How this entity was disambiguated
This entity first appeared as the object of triple T4596114 — resolving that mention is where its identity was fixed. The disambiguator weighed these candidate entities and picked the highlighted one (or “None”, minting a new entity). This is how homonymy is resolved: the same surface form can point to different entities.
NED1
Entity disambiguation (via context triple)
gpt-5-mini-2025-08-07
Target entity: Lomuto partition scheme Context triple: [Quicksort, partitionScheme, Lomuto partition scheme]
-
A.
Quicksort
Quicksort is a highly efficient, comparison-based sorting algorithm that uses a divide-and-conquer strategy and is widely employed in computer science and software systems.
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B.
Marzullo's algorithm
Marzullo's algorithm is a method for selecting the most likely correct time interval from multiple, possibly conflicting time sources, commonly used in clock synchronization systems.
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C.
Partition
"Partition" is a 2013 Beyoncé song from her self-titled visual album, known for its sensual lyrics, bass-heavy production, and provocative music video.
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D.
Thompson's algorithm
Thompson's algorithm is a classic computer science method for converting regular expressions into nondeterministic finite automata (NFAs), widely used in pattern matching and lexical analysis.
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E.
Fibonacci heap
A Fibonacci heap is an advanced data structure for implementing priority queues that supports very fast amortized running times for operations like insert and decrease-key, making it useful in algorithms such as Dijkstra’s shortest path.
- F. None of above. chosen
- G. Unsure - the case is ambiguous/there is not enough information to decide.
NED2
Entity disambiguation (via description)
gpt-5-mini-2025-08-07
Target entity: Lomuto partition scheme Target entity description: The Lomuto partition scheme is a simple, commonly taught method for partitioning arrays in the Quicksort algorithm by using a single index to separate elements less than a chosen pivot from those greater or equal.
-
A.
Quicksort
Quicksort is a highly efficient, comparison-based sorting algorithm that uses a divide-and-conquer strategy and is widely employed in computer science and software systems.
-
B.
Marzullo's algorithm
Marzullo's algorithm is a method for selecting the most likely correct time interval from multiple, possibly conflicting time sources, commonly used in clock synchronization systems.
-
C.
Partition
"Partition" is a 2013 Beyoncé song from her self-titled visual album, known for its sensual lyrics, bass-heavy production, and provocative music video.
-
D.
Thompson's algorithm
Thompson's algorithm is a classic computer science method for converting regular expressions into nondeterministic finite automata (NFAs), widely used in pattern matching and lexical analysis.
-
E.
Fibonacci heap
A Fibonacci heap is an advanced data structure for implementing priority queues that supports very fast amortized running times for operations like insert and decrease-key, making it useful in algorithms such as Dijkstra’s shortest path.
- F. None of above. chosen
Statements (33)
| Predicate | Object |
|---|---|
| instanceOf |
algorithmic technique
ⓘ
array partitioning method ⓘ partition scheme ⓘ |
| canLeadTo | more swaps than Hoare partition scheme ⓘ |
| category | sorting algorithm component ⓘ |
| commonIn |
educational materials on sorting algorithms
ⓘ
textbook implementations of Quicksort ⓘ |
| comparedWith | Hoare partition scheme ⓘ |
| isStable | no ⓘ |
| lessEfficientThan | Hoare partition scheme in practice ⓘ |
| namedAfter | Nico Lomuto ⓘ |
| numberOfScans | one forward scan of the array segment ⓘ |
| originatedIn | analysis of Quicksort algorithms ⓘ |
| partitionProperty |
all elements left of pivot index are <= pivot (for standard variant)
ⓘ
all elements right of pivot index are > pivot (for standard variant) ⓘ |
| pivotPositionAfterPartition | final index of pivot in partitioned array segment ⓘ |
| pivotSelectionTypical | last index of current subarray ⓘ |
| requires | total order on elements for comparison ⓘ |
| requiresRandomAccess | yes ⓘ |
| separatesElementsBy | comparison with pivot ⓘ |
| separatesInto |
elements greater than or equal to pivot
ⓘ
elements less than pivot ⓘ |
| spaceComplexity | O(1) auxiliary space ⓘ |
| timeComplexity | O(n) for partition step ⓘ |
| typicallyTaughtAs | introductory example of partitioning ⓘ |
| usedFor | divide step of Quicksort ⓘ |
| usedIn | Quicksort ⓘ |
| usedWith | in-place Quicksort ⓘ |
| usesIndexingStrategy | single index to separate elements ⓘ |
| usesPivot | last element of the array segment ⓘ |
| usesSwaps | to move elements less than pivot to left side ⓘ |
| worksOn |
array-like sequences
ⓘ
arrays ⓘ |
How these facts were elicited
The pipeline generated the facts above by prompting gpt-5.1 with this entity's name + description and the instruction below.
Instruction
You are a knowledge base construction expert. Given a subject entity and a description of it, return factual statements that you know for the subject as a JSON list of dictionaries(triples), where keys must be "subject", "predicate" and "object". The number of facts may be very high, between 25 to 50 or more, for very popular subjects. For less popular subjects, the number of facts can be very low, like 5 or 10. # Requirements - If you don't know the subject at all, return an empty list. - If the subject is not a named entity, return an empty list. - Include at least one triple where predicate is "instanceOf". - Do not get too wordy. - Separate several objects into multiple triples with one object.
Input
Subject: Lomuto partition scheme Description of subject: The Lomuto partition scheme is a simple, commonly taught method for partitioning arrays in the Quicksort algorithm by using a single index to separate elements less than a chosen pivot from those greater or equal.
Referenced by (2)
Full triples — surface form annotated when it differs from this entity's canonical label.