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An algorithm is a sequence of well-defined steps that defines an abstract solution to a problem. Use this tag when your issue is related to design and analysis of algorithms.

6 votes
3 answers
9k views

Quicksort vs. insertion sort on linked list: performance

I have written a program to sort Linked Lists and I noticed that my insertion sort works much better than my quicksort algorithm. Does anyone have any idea why this is? Insertion sort has a complexit …
5 votes
1 answer
1k views

Dependency Graph - Acyclic graph

I have a directed acyclic graph where edge (A,B) means that vertex A depends on vertex B. Vertex deletions have the following restrictions: When vertex B is removed, all dependent vertexes should …
1 vote
1 answer
172 views

Is open adressing with prime steps bijective?

Who can help me with this topic: Probing with a step width that is a prime number. I am struggling with this question about defining a hashing function $h(k, i)$ for open addressing on a table of len …
5 votes
3 answers
4k views

Counting different words in text using hashing

I am still fighting with hashing and I am ask myself: what is the most efficient way to count the number of different words in a text using a hash table? My intuition says that applying the hashcode …
4 votes
2 answers
3k views

Running time - Linked Lists Polynomial

I have developed two algorithms and now they are asking me to find their running time. The problem is to develop a singly linked list version for manipulating polynomials. … These are the algorithms I developed (in Pseudocode): PolynomialAdd(Poly1, Poly2): Degree := MaxDegree(Poly1.head, Poly2.head); while (Degree >=0) do: Node1 := Poly1.head; while (Node1 …
7 votes
4 answers
4k views

Loop invariant for an algorithm

I have developed the following pseudocode for the sum of pairs problem: Given an array $A$ of integers and an integer $b$, return YES if there are positions $i,j$ in $A$ with $A[i] + A[j] = b$, NO …