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3 votes
1 answer
1k views

calculating the string similarity of an optimal alignment

description of the algorithms behavior I have two strings s1 and s2, with $len\_s1 <= len\_s2$. I would like to find the ...
1 vote
0 answers
35 views

Sparse bit string pattern matching

Suppose there are two strings of bits. Let's call them the needle (n) and the haystack (h). We'll say that the needle matches ...
1 vote
1 answer
86 views

Finding the subset of a dictionary that has the minimum edit distance to a given string

I'm looking for the most efficient way of solving an Levenshtein edit distance problem. We are given as input: A set of strings S of size ...
0 votes
0 answers
21 views

What sub-sequences do strings for the standard scientific units have in common?

As motivation, a Space Craft known as the Mars Climate Orbiter failed in the year 1999. The failure occurred because the distinction between pound-force seconds and newton-seconds was made as an ...
0 votes
0 answers
29 views

Use case for string matching in a 2 by n grid

In a 2 by n grid there is a character in each cell. A path can start at any cell and then you can move to right or down. This way each path will denote a string written by characters on cells visited ...
6 votes
1 answer
298 views

Find the 'best' longest common subsequence

I am writing a program that computes and displays diffs. I implemented Meyers algorithm that computes the LCS between 2 subsequences (seq1 and ...
1 vote
0 answers
45 views

Simultaneous matching of all Caesar rotations of a pattern in a text

Suppose we have an alphabet of size $S$, a pattern of length $P$ and a text of length $T$. We want to design an algorithm for matching all caesar rotations of the pattern $P$ in the text $T$. The ...
1 vote
1 answer
2k views

Can't wrap my head around on building a suffix table for Boyer Moore

My resources were the following video, as well as this video. Basically, in one of the videos they state that the good suffix table for the pattern "ABCBAB" is the following: k suffix d2 1 ...
0 votes
0 answers
15 views

What algrorithm computes a mutally exclusive partitioning from two regulair expressions?

The Question A regular expression, such as AL+[EYI]+, represents a set of strings. ...
0 votes
1 answer
98 views

Shortest string which all input strings is its substring

Given a set of input strings, how do I find a shortest string S so that all input strings appear as a substring of S? for example: ...
0 votes
1 answer
243 views

Longest prefix of string S that is also a sub-prefix of S in linear time

As the question suggest. I want an algorithm that runs in linear time which finds the longest prefix of a substring that is a sub-prefix of the same string. Formally: Given a string $S$ of length $n$,...
1 vote
0 answers
35 views

Longest substring creating palindromic substring in other string

Given two strings $s, t$, I would liketo find a maximal subsequence of $t$ (denoted as $t'$), such that the concatenation of $t'$ with its reverse ($t'_R$), is a palindromic substring of $s$. I ...
1 vote
1 answer
361 views

Counting substrings of a string that do not contain a given string

Let's say we have a string $s[0..n-1]$ and a pattern $p[0..m-1]$ with $m < n$. I am looking for an $O(nm)$ solution to the following problem: find the number of substrings of $s$ not containing $p$ ...
4 votes
1 answer
594 views

please help me understand the algorithm for building the KMP failure function

I am struggling to grasp the algorithm for building the KMP failure function. The bulk of what is making my understanding incomplete concerns the line ...
1 vote
0 answers
105 views

Longest palindrome after swapping operation

I know that Manacher's algorithm can be used to find the longest palindromic substring of a string in linear time. But I want to find the longest palindromic substring after swapping any two indices ...
0 votes
1 answer
52 views

Finding which strings in a set of strings have a certain prefix - can it be smaller than O(number of strings*length of prefix)

If I have a set of words and need to return which of them start with a certain prefix, can that complexity be less than O(n*d), where n is the number of words and d is the prefix. I'm asking because ...
2 votes
1 answer
157 views

Why is KMP preprocessing O(N)?

My intuition tells me that there is <=1 increase in lps for each increase in the index. Can someone make a better argument why this is O(N)? My confusion arises from ...
0 votes
2 answers
300 views

Find the maximum number of contiguous occurrences of smaller string s in a larger string l

Say we have two strings s and l, and they only have characters 'a' through 'z' (lowercase English alphabet characters). The task is to find the maximum number of consecutive occurrences of s in l. Ex. ...
2 votes
1 answer
335 views

Find optimal local alignment of two strings with restrictions

I have a homework question that I trying to solve for many hours without success, maybe someone can guide me to the right way of thinking about it. The problem: We want to find an optimal local ...
1 vote
1 answer
65 views

Is string spliting formally defined when the string delimiter is an empty string?

Depending on the API/language you use, splitting the string "ABCD" using "" as a delimiter gets you: ...
2 votes
1 answer
146 views

What is the SetHorspool string searching algorithm and how is it implemented?

What is the SetHorspool string searching algorithm with pseudo-code so it can be easily implemented in a language of choice? This has been implemented in 2 libraries I have come across: https://app-...
1 vote
0 answers
553 views

Boyer-Moore jump table

I have a pattern $P$ of length $m$, i.e. $P = p_0, p_1, \ldots, p_{m-1}$ which I want to build a simple jump table for (not considering special optimizing cases for now). I only want to build a jump ...
0 votes
2 answers
161 views

If we want to map abbreviations of full-English words (e.g. map "Jan" to "January"), how can we identify abbreviations which map to multiple words?

Short Version: How can we construct a trie which maps abbreviations of names-of-the-month to full-month (we map the abbreviation "mar" to "march")? The set of all abbreviations is ...
4 votes
3 answers
379 views

Sorting array of strings (with repetitions) according to a given ordering

We get two arrays: ordering = ["one", "two", "three"] and ...
3 votes
1 answer
896 views

Given a list of strings, find every pair $(x,y)$ where $x$ is a substring of $y$. Possible to do better than $O(n^2)$?

Consider the following algorithmic problem: Given a list of strings $L = [s_1, s_2, \dots, s_n]$, we want to know all pairs $(x,y)$ where $x$ is a substring of $y$. We can assume all strings are of ...
1 vote
0 answers
52 views

Algorithm for searching string with wildcards

I'm trying to find efficient algorithm for checking if string with wildcards contains given substring. The parts of the string are separated with a "." character. So for example I have ...
2 votes
2 answers
148 views

Sliding Window Dictionary String Matching

Consider the following problem. We are given a set of patterns (strings) $\Pi = \{\pi_i\}$, a text $s$, and a window length $k$. We want a list of all shifts $0 \le i \le |s|-k$ such that every ...
0 votes
1 answer
51 views

Is there an algorithm to share parts of strings? [duplicate]

Let's say that we have the strings Hello, World, Hello and World. The algorithm I am ...
0 votes
0 answers
696 views

Returning all the combinations of a string using regex

Is it possible for a regex pattern to return all the 2^n combinations of characters of a string as matches? For example, if the string is ...
0 votes
0 answers
159 views

How use generalized suffix tree to match prefix string?

I know that generalized suffix tree can match substring for a given pattern. But I have need a data structure which is able to match prefix of many strings. match sub string of of many strings. For ...
2 votes
1 answer
399 views

Regular expression for capturing a "C-style" string

I have started to learn automata theory and languages. I am new to regular expressions. As a use case in real world, I would like to construct a regular expression to accept a c-style string: ...
2 votes
1 answer
168 views

String matching

I need to design a data structure to which I can efficiently add new words(Strings) and search for an existing word. Also, the search word can contain . in it which ...
5 votes
1 answer
680 views

Find all substrings that fit the mask with asterisks

There is a problem. Given string $text$ containing only letters and string $mask$ containing letters and asterisks (*), where asterisk means substitution of zero or more letters, find all substrings ...
0 votes
0 answers
57 views

Dictionary matching problem: dictionary size estimation

Suppose we solve dictionary matching problem for $d$ patterns with the Aho-Corasick algorithm. Then our main data structure consists of a trie with $n$ vertices and auxiliary structures. I want to ...
1 vote
1 answer
300 views

The last failure link in KMP automaton

I know that in order to build i's failure link, I compare i's and j's success links: If they are the same (if a = b), then i's failure link should point to state j + 1. If they aren't the same, we go ...