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The line graph L(G) of a simple graph G is defined as follows: There is exactly one vertex v(e) in L(G) for each edge e in G. For any two edges e and e' in G, L(G) has an edge between v(e) and v(e'), if and only if e and e' are incident with the same vertex in G. Which of the following statements is/are TRUE? (P) The line graph of a cycle is a cycle. (Q) The line graph of a clique is a clique. (R) The line graph of a planar graph is planar. (S) The line graph of a tree is a tree.
In the following passage some of the words have been left out. Read the passage carefully and select the correct answer for the given blank out of the four alternatives. Life is full of ______ types of experiences.Strange, in fact, are the ways of God.If a man is happy today, he may be ______ unhappy the very next day.Some ______ are pleasant and joyful while others are full of ______ and pain.If at one time a person finds himself on top of the world, at the ______ time he is depressed and downcast.
Life is full of ______ types of experiences.
In the following passage some of the words have been left out. Read the passage carefully and select the correct answer for the given blank out of the four alternatives. Life is full of ______ types of experiences.Strange, in fact, are the ways of God.If a man is happy today, he may be ______ unhappy the very next day.Some ______ are pleasant and joyful while others are full of ______ and pain.If at one time a person finds himself on top of the world, at the ______ time he is depressed and downcast. he may be ______ unhappy the very next day.
In the following passage some of the words have been left out. Read the passage carefully and select the correct answer for the given blank out of the four alternatives. Life is full of ______ types of experiences.Strange, in fact, are the ways of God.If a man is happy today, he may be ______ unhappy the very next day.Some ______ are pleasant and joyful while others are full of ______ and pain.If at one time a person finds himself on top of the world, at the ______ time he is depressed and downcast.
Some ______ are pleasant and joyful
In the following passage some of the words have been left out. Read the passage carefully and select the correct answer for the given blank out of the four alternatives. Life is full of ______ types of experiences.Strange, in fact, are the ways of God.If a man is happy today, he may be ______ unhappy the very next day.Some ______ are pleasant and joyful while others are full of ______ and pain.If at one time a person finds himself on top of the world, at the ______ time he is depressed and downcast.
others are full of ______ and pain.
In the following passage some of the words have been left out. Read the passage carefully and select the correct answer for the given blank out of the four alternatives. Life is full of ______ types of experiences.Strange, in fact, are the ways of God.If a man is happy today, he may be ______ unhappy the very next day.Some ______ are pleasant and joyful while others are full of ______ and pain.If at one time a person finds himself on top of the world, at the ______ time he is depressed and downcast.
at the ______ time he is depressed and downcast.
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
. . . . . . . . finds K best paths in a given graph.
There are two boxes. Box I contains one white card and two black cards and Box II contains one white card and a black card. Two persons P and Q play a game. P picks a card randomly from Box I. If P finds the white card, P wins and the game stops. If P finds the black card, Q draws a card randomly from Box II. If Q finds the white card Q wins. The game stops whether Q draws the white card or P draws the white card. Which one of the following is correct?
1. A student drew a neat and error-free graph on a graph paper basing on the given data relating to physics. 2. The student answered the questions based on the graph correctly. 3. The student predicted the trend of the graph correctly by studying its nature. Out of the knowledge, understanding, application and skill based educational objectives, the above mentioned facts are based altogether on how many objectives?