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Depth-first traversal
A depth-first traversal of a tree visit a node and then recursively visits the subtrees of that node. Likewise, depth-first traversal of a graph visits a vertex and then recursively visits all the vertices adjacent to that node. The catch is that the graph may having cycles, but the traversal must visit each vertex at most once. The solution to the problem is to keep track of the nodes that have been visited, so that the traversal does not undergo the fate of infinite recursion.
Q. Give the adjacency matrix for the graph drawn below: Ans: Adjacency matrix for the graph given to us
Graph Traversal In many problems we wish to investigate all the vertices in a graph in some systematic order. In graph we often do not have any single vertex singled out as spe
Q. Suggest a method of implementing two stacks in one array such that as long as space is there in an array, you should be capable to add an element in either stack. Using proposed
Post-order Traversal This can be done both iteratively and recursively. The iterative solution would need a change of the in-order traversal algorithm.
(a) Suppose that t is a binary tree of integers (that is, an object of type BinTree of Int.) in the state shown in Figure 3. Give the vectors returned by each of the f
Q. Prove the hypothesis that "A tree having 'm' nodes has exactly (m-1) branches". Ans: A tree having m number of nodes has exactly (m-1) branches Proof: A root
In a sorted list, Binary search is carried out by dividing the list into two parts depends on the comparison of the key. Since the search interval halves each time, the iteration o
Explain an efficient way of storing two symmetric matrices of the same order in memory. A n-square matrix array is said to be symmetric if a[j][k]=a[k][j] for all j and k. For
Write an algorithm in the form of a flowchart that: inputs top speeds (in km/hr.) of 5000 cars Outputs fastest speed and the slowest speed Outputs average (mean) s
How sparse matrix stored in the memory of a computer?
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