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Which of the following statements regarding tree are correct? (A) All the links of a tree together does not constitute the complement of the corresponding tree (B) A connected subgraph of a connected graph is a tree if there exist (n - 1) nodes of the group (C) A connected subgraph of a connected graph is a tree if there exist many paths between any pair of nodes in it (D) The number of terminal nodes of end vertices of every tree are atleast two (E) Every connected graph has atleast one tree Choose the correct answer from the options given below: (1) (A) and (B) only (2) (B) and (C) only (3) (B) and (D) only (4) (D) and (E) only
Consider a weight balanced tree such that, the number of nodes in the left sub tree is at least half and at most twice the number of nodes in the right sub tree. The maximum possible height (number of nodes on the path from the root to the farthest leaf) of such a tree on k nodes can be described as
Consider a full binary tree with n internal nodes, internal path length i, and external path length e. The internal path length of a full binary tree is the sum, taken over all nodes of the tree, of the depth of each node. Similarly, the external path length is the sum, taken over all leaves of the tree, of the depth of each leaf. Which of the following is correct for the full binary tree?
How many extra nodes are there in Full K-ary tree than complete K-ary tree?
Consider the following two statements. 1. A binary tree T is full if each node is either a leaf or possesses exactly two child nodes. 2. A binary tree T with n levels is complete if all levels except possibly the last are completely full, and the last level has all its nodes to the left side. Which statement is/are TRUE
Consider the pseudocode given below. The function DoSomething() takes as argument a pointer to the root of an arbitrary tree represented by the leftMostChild-rightSibling representation. Each node of the tree is of type treeNode. typedef struct treeNode* treeptr; struct treeNode {              treeptr leftMostChild, rightSibling; }; int DoSomething (treeptr tree) {              int value=0;              if (tree != NULL) {              if (tree->leftMostChild == NULL)              value = 1;    else               value = DoSomething(tree->leftMostChild);               value = value + DoSomething(tree->rightSibling);     }               return(value); } When the pointer to the root of a tree is passed as the argument to DoSomething, the value returned by the function corresponds to the 
Which of the following is/are correct about a strictly binary tree? A. A binary tree is called strictly binary tree if every non-­leaf node of it has non empty left and right sub tree B. In strictly binary tree can have two children or no child C. A strictly binary tree with n leaves always contact 2n­-1 nodes
There is a statement followed by two conclusions. Decide which conclusion logically follows from the given statement (s). Statement: A garden has mango, teak, neem, orange, coconut and many trees. The mango tree is 7 meters tall, the orange tree is half of its height and the coconut tree is three times the height of the mango tree. Conclusion: I. The average height of the three trees is less than 10 meters. II. The tallest tree in the garden is the coconut tree. Choose the correct option from the following. A. Only (I) follows. B. Only (II) follows. C. (I) and (II) both follow. D. Neither (I) nor (II) follows.
What are the properties of a tree in a network graph? 1. It consists of all the nodes of the graph. 2. If the graph has N number of nodes, the tree will have (N – 1) branches. 3. There will be only one closed path in the tree.
Consider the following statements regarding the difference between tropical and extra-tropical cyclones and choose the correct option from the alternatives given below: 1. Extra-tropical cyclones cover a larger area as compared to the tropical cyclones 2. Extra-tropical cyclones originate both over land as well as sea whereas tropical cyclones originate only over sea 3. The wind velocity in a tropical cyclone is much higher and destructive as compared to the extra-tropical cyclones