Overview
Manber-Myers Suffix Array Construction handles suffix array construction by doubling prefix lengths and sorting suffix ranks iteratively.
CoreSource checked
Manber-Myers Suffix Array Construction
Manber-Myers Suffix Array Construction uses doubling prefix lengths and sorting suffix ranks iteratively for suffix array construction.
Quick Facts
Compact metadata for implementation and discovery.
- Category
- Pattern Matching
- Difficulty
- Intermediate
- Family
- String Indexing
- Tier
- Core
- Status
- Verified
- Review
- Source Checked
- Sources
- 3
- Formulas
- 0
- Relationships
- 4
- Code example
- Ready
- Visualization
- Ready
Core Concepts
suffix array constructionstring indexingsuffix structurepattern matching
Quick facts
Complexity
Runtime and memory behavior at a glance.
Best
O(n)
Average
O(n + m)
Worst
O(n + m)
Space
O(n + m)
When to Use
- Use Manber-Myers Suffix Array Construction when solving string indexing and you want to benefit from doubling prefix lengths and sorting suffix ranks iteratively.
- Choose it when O(n + m) average/worst-case time and O(n + m) memory match your workload profile.
- Prefer it over Ukkonen Suffix Tree Construction or Suffix Automaton LCS when the problem structure favors suffix array construction.
When Not to Use
- Avoid when preprocessing cost is larger than the savings for a one-off tiny input.
- Avoid when the alphabet or scoring assumptions do not match the sequence data.
What It Does
- Manber-Myers Suffix Array Construction uses doubling prefix lengths and sorting suffix ranks iteratively for suffix array construction
- Organizes the work around suffix array construction and string indexing.
Use Cases
- Production and research workloads requiring string indexing via doubling prefix lengths and sorting suffix ranks iteratively.
- String Indexing pipelines where O(n + m) time and O(n + m) space fit system constraints.
- Engineering comparisons against Ukkonen Suffix Tree Construction and Suffix Automaton LCS when tuning string indexing.
Inputs
- Text or sequence
- Pattern, index, or comparison sequence
Outputs
- Matches, alignment, index, or similarity value
Pseudocode
- 1.Preprocess the input alphabet, pattern/grammar rules, or symbol frequency tables for Manber-Myers Suffix Array Construction.
- 2.Construct the lookup automaton, suffix/shift index, or coding state (suffix array construction, string indexing).
- 3.Scan the input sequence by doubling prefix lengths and sorting suffix ranks iteratively.
- 4.Emit matches, derivation nodes, or encoded tokens while advancing the state transition table.
- 5.Finalize trailing state and return the completed string indexing output.
Canonical Example
- Input
- Text or sequence configured for a representative string indexing test case
- Output
- Matches, alignment, index, or similarity value satisfying Manber-Myers Suffix Array Construction invariants
- Explanation
- Manber-Myers Suffix Array Construction processes the input by doubling prefix lengths and sorting suffix ranks iteratively, tracking suffix array construction and string indexing to produce the verified string indexing result.
Implementation Notes
- Keep preprocessing output inspectable with short examples.
- Test repeated characters and overlapping matches.
- Document sentinel or alphabet assumptions.
Common Pitfalls
- Mishandling empty patterns, repeated characters, or sentinel symbols.
- Confusing preprocessing indexes with the query algorithm.
- Forgetting whether indexing is zero-based or one-based.
Interactive Mechanism Walkthrough
Sequence Window & Automaton AlignmentShow doubling prefix lengths and sorting suffix ranks iteratively on a small suffix array construction example.
Input:ABABABCABAB
Window:ABAB
Step 1 of 5: Preprocess the input alphabet, pattern/grammar rules, or symbol frequency tables for Manber-Myers Suffix Array Construction.
pattern-matching-mechanismNotes
Manber-Myers Suffix Array Construction operates in O(n + m) time and O(n + m) space within the String Indexing family. Often compared with Ukkonen Suffix Tree Construction and Suffix Automaton LCS.
Sources (3)
What each reference supports for this entry.
Algorithms on Strings, Trees, and Sequences
BookString algorithms reference for Manber-Myers Suffix Array Construction's pattern matching, suffix indexing, alignment, or sequence-processing mechanism.
Open sourceIntroduction to Algorithms (CLRS)
BookTextbook support for Manber-Myers Suffix Array Construction's algorithm family, complexity framing, and standard implementation concepts.
Open sourceManber-Myers Suffix Arrays
PaperOriginal reference for suffix arrays and their construction for online string searches.
Open sourceExplore Next
Good next jumps from the relationship graph, ranked for useful discovery.
UsesSuffix Automaton LCS
Pattern Matching · Core
Manber-Myers Suffix Array Construction uses Suffix Automaton LCS as a subroutine, representation, or supporting idea while doubling prefix lengths and sorting suffix ranks iteratively.
Compare with thisRelationships
View full relationship pageManber-Myers Suffix Array Construction uses Ukkonen Suffix Tree Construction as a subroutine, representation, or supporting idea while doubling prefix lengths and sorting suffix ranks iteratively.
Manber-Myers Suffix Array Construction uses Suffix Automaton LCS as a subroutine, representation, or supporting idea while doubling prefix lengths and sorting suffix ranks iteratively.
Manber-Myers Suffix Array Construction uses SA-IS Suffix Array Construction as a subroutine, representation, or supporting idea while doubling prefix lengths and sorting suffix ranks iteratively.
Related Algorithms
Tags
Pattern MatchingStrings