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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.
Q. How do we represent a max-heap sequentially? Explain by taking a valid example. Ans: A max heap is also called as a descending heap, of size n is an almos
solve the following relation by recursive method: T(n)=2T(n^1/2)+log n
Write an algorithm for binary search. Algorithm for Binary Search 1. if (low> high) 2. return (-1) 3. Mid = (low + high)/2 4. if ( X = = a[mid]) 5. return (mid); 6.
A shop sells books, maps and magazines. Every item is identified by a unique 4 - digit code. All books have a code starting with a 1, all maps have a code which starts with a 2 and
Typical programming languages such as Pascal, C or Java give primitive data kinds such as integers, boolean, reals values and strings. They give these to be organised into arrays,
Data type An implementation of an abstract data type on a computer. Therefore, for instance, Boolean ADT is implemented as the Boolean type in Java, and bool type in C++;
Representation of data structure in memory is known as: Abstract data type
Efficiency of Linear Search How much number of comparisons is there in this search in searching for a particular element? The number of comparisons based upon where the reco
A B-tree of minimum degree t can maximum pointers in a node T pointers in a node.
Algorithm for determining strongly connected components of a Graph: Strongly Connected Components (G) where d[u] = discovery time of the vertex u throughout DFS , f[u] = f
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