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In this unit, we will describe a data structure called Graph. Actually, graph is a general tree along no parent-child relationship. In computer science, Graphs have several applications and other fields of science. Generally, graphs represent a comparatively less restrictive relationship among the data items. We will discuss about both undirected graphs & directed graphs. The unit also comprises information on different algorithms which are depending on graphs.
After learning this unit, you have to be able to
How many recursive calls are called by the naïve recursive algorithm for binomial coefficients, C(10, 5) and C(21, 12) C(n,k){c(n-1,k)+c(n-1,k-1) if 1 1 if k = n or k = 0
A database is a collection of data organized in a manner that facilitates updation, retrieval and management of the data. Searching an unindexed database having n keys will have a
Explain about the String Abstract data type operations Symbol ADT has no concatenation operations, but presuming we have a full-featured String ADT, symbols can be concatenated
A binary search tree is used to locate the number 43. Which of the following probe sequences are possible and which are not? Explain. (a) 61 52 14 17 40 43 (b) 2 3 50 40 60 43 (c)
(1) Sort a list of distinct numbers in ascending order, using the following divide- and-conquer strategy (Quicksort): divide the list of numbers into two lists: one that contains a
Definition of Algorithm Algorithm must have the following five characteristic features: 1. Input 2. Output 3. Definiteness 4. Effectiveness 5
Symbols of ADT oeprations All Symbol ADT operations are implemented in Symbol class, except toSymbol(), which is implemented in classes (like String) which can generate a Symb
The above 3 cases are also considered conversely while the parent of Z is to the right of its own parent. All the different kind of cases can be illustrated through an instance. Le
The searching technique that takes O (1) time to find a data is Hashing is used to find a data
Adjacency list representation An Adjacency list representation of Graph G = {V, E} contains an array of adjacency lists mentioned by adj of V list. For each of the vertex u?V,
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