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Complexity is the rate at which the needed storage or consumed time rise as a function of the problem size. The absolute growth based on the machine utilized to execute the program, the compiler utilized to construct the program, and several other factors. We would like to have a way of defining the inherent complexity of a program (or piece of a program), independent of machine/compiler considerations. It means that we have to not attempt to describe the absolute time or storage needed. We have to instead concentrate on a "proportionality" approach, expressing the complexity in terms of its relationship to some known function. This kind of analysis is known as asymptotic analysis. It might be noted that we are dealing with complexity of an algorithm not that of a problem. For instance, the simple problem could have high order of time complexity & vice-versa.
W h at are the different ways by which we can represent graph? Represent the graph drawn below using those ways. T he d iff e r e nt w a y s by
algorithm for insertion in a queue using pointers
What is a height balanced tree? Height Balanced Tree (AVL Tree) An AVL tree is a binary search tree in which the height of the left and right subtree of the root vary by at most
In a circular linked list There is no beginning and no end.
In-order Traversal This process when executed iteratively also needs a stack and a Boolean to prevent the implementation from traversing any portion of a tree twice. The gener
Acyclic Graphs In a directed graph a path is said to form a cycle is there exists a path (A,B,C,.....P) such that A = P. A graph is called acyclic graph if there is no cycle in
write aprogram for random -search to implement if a[i]=x;then terminate other wise continue the search by picking new randon inex into a
Give example of assertion and abstract data type For illustration, consider Natural ADT whose carrier set is the set of non-negative integers and whose operations are the usual
(a) Write (delay ) as a special form for (lambda () ) and (force ), as discussed in class. (b) Write (stream-cons x y) as a special form, as discussed in class. (c) Write
There are three kinds of tree traversals, namely, Postorder , Preorder and Inorder. Preorder traversal: Each of nodes is visited before its children are visited; first the roo
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