# A Framework for Dynamic Parameterized Dictionary Matching

@inproceedings{Ganguly2016AFF, title={A Framework for Dynamic Parameterized Dictionary Matching}, author={Arnab Ganguly and Wing-Kai Hon and Rahul Shah}, booktitle={Scandinavian Workshop on Algorithm Theory}, year={2016} }

Two equal-length strings S and S' are a parameterized-match (p-match) iff there exists a one-to-one function that renames the characters in S to those in S'. Let P be a collection of d patterns of total length n characters that are chosen from an alphabet Sigma of cardinality sigma. The task is to index P such that we can support the following operations.
* search(T): given a text T, report all occurrences such that there exists a pattern P_i in P that is a p-match with the substring T[j,j…

## 12 Citations

### A framework for designing space-efficient dictionaries for parameterized and order-preserving matching

- Computer ScienceTheor. Comput. Sci.
- 2021

### Parameterized Text Indexing with One Wildcard

- Computer Science2019 Data Compression Conference (DCC)
- 2019

An interesting generalization of this problem, where the pattern contains one wildcard character ϕ ∉ Σ that matches with any other character in Σ, and it is shown that such queries can be answered in optimal O(p+occ) time per query using an O(n log n) space index.

### Real-Time Streaming Multi-Pattern Search for Constant Alphabet

- Computer ScienceESA
- 2017

It is proved that for a constant size alphabet, there exists a randomized Monte-Carlo algorithm for the streaming dictionary matching problem that takes constant time per character and uses O(d log m) words of space, where m is the length of the longest pattern in the dictionary.

### Parameterized Dictionary Matching with One Gap

- Computer ScienceStringology
- 2018

This paper presents two algorithms solving the Prameterized Dictionary Matching with one Gap, stemming from cyber security, where the patterns are the malware sequences the authors want to detect in the text, and the necessity of a parameterized match is due to their encryption.

### Dynamic Dictionary Matching in the Online Model

- LinguisticsWADS
- 2019

In the online version of the dictionary matching problem, the characters of T arrive online, one at a time, and the goal is to establish, immediately after every new character arrival, which of the patterns in \(\mathcal {D}\) are a suffix of the current text.

### pBWT: Achieving Succinct Data Structures for Parameterized Pattern Matching and Related Problems

- Computer ScienceSODA
- 2017

A new BWT-like transform is called pBWT, which is extended to obtain a succinct index for the Parameterized Dictionary Matching problem of Idury and Schaffer and introduces an n log σ + O(n)-bit index with O(|Plog σ+occ·log n logσ) query time.

### Towards Optimal Approximate Streaming Pattern Matching by Matching Multiple Patterns in Multiple Streams

- Computer ScienceICALP
- 2018

A new algorithm for the KMM problem in the streaming model that, up to poly-log factors, has the same bounds as the most recent results that use different techniques, and for most inputs, is significantly faster on average.

### A Comparative Study of Dictionary Matching with Gaps: Limitations, Techniques and Challenges

- Computer ScienceAlgorithmica
- 2021

A comparative survey of this line of research on several formal problems all within the broad scope of dictionary matching with gaps is supplied, the formally proven limitations of any solution suggested, the techniques developed to deal with the limitations and different problems, to supply complementary techniques, and to point out existing challenges still to be handled by future work.

### Succinct Data Structures for Parameterized Pattern Matching and Related Problems

- Computer Science
- 2017

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