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Graphs are data structures which consist of a set of vertices & a set of edges which connect the vertices. A graph where the edges are directed is called directed graph. Or else, it is called an undirected graph. Graphs are represented by adjacency lists & adjacency matrices. Graphs can be utilized to represent a road network where the edges are weighted as the distance among the cities. Finding the minimum distance among single source & all other vertices is called single source shortest path problem. Dijkstra's algorithm is utilized to determine shortest path from a single source to every other vertex into a directed graph. Determining shortest path among every pair of vertices is called all pairs shortest paths problem.
A spanning tree of any graph is a tree containing only those edges of the graph that connects all vertices of the graph along with minimum cost. Kruskal's & Prim's algorithms find minimum cost spanning tree into a graph. Visiting all of the nodes in a graph systematically in some manner is called traversal. Two most common methods are depth-first & breadth-first searches.
Define order of growth The efficiency analysis framework concentrates on the order of growth of an algorithm's basic operation count as the principal indicator o
Circular Queues:- A more efficient queue representation is get by regarding the array Q(1:n) as circular. It becomes more convenient to declare the array as Q(O: n-1), when re
reverse the order of elements on a stack S using two additional stacks using one additional stack
The complexity of searching an element from a set of n elements using Binary search algorithm is O(log n)
Type of Qualitative Method: Different qualitative methods are suitable for different types of study. Quite often we can combine qualitative and quantitative methods. Many
We will start by defining a new structure called Heap. Figure 3 illustrates a Binary tree. Figure: A Binary Tree A complete binary tree is said to assure the 'heap con
The ?-Notation (Lower Bound) This notation provides a lower bound for a function to within a constant factor. We write f(n) = ?(g(n)), if there are positive constants n 0 and
Q. Explain the technique to calculate the address of an element in an array. A 25 × 4 matrix array DATA is stored in memory in 'row-major order'. If base address is 200 and
System defined data types:- These are data types that have been defined by the compiler of any program. The C language contains 4 basic data types:- Int, float, char and doubl
that will determine the volume of the sphere or the volume of cone or volume of pyramid depending on the choice of the user
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