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In an adjacency list representation of an undirected simple graph G = (V, E), each edge (u, v) has two adjacency list entries: [v] in the adjacency list of u, and [u] in the adjacency list of v. These are called twins of each other. A twin pointer is a pointer from an adjacency list entry to its twin. If |E| = m and |V| = n, and the memory size is not a constraint, what is the time complexity of the most efficient algorithm to set the twin pointer in each entry in each adjacency list?
Consider the following pattern of numbers: \(\dfrac{\begin{matrix} 8 \\\ 6 \ \\\ 4 \ \end{matrix}}{ \ 6} \ \ \dfrac{\begin{matrix} 10 \\\ 5 \ \\\ 6 \ \end{matrix}}{ \ 11} \ \ \dfrac{\begin{matrix} 15 \\\ 7 \ \\\ 8 \ \end{matrix}}{ \ 16} \ \ \dfrac{\begin{matrix} 13 \\\ 4 \ \\\ 8 \ \end{matrix}}{ \ ?}\) What is the number at ? in the above pattern?
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.
Read the passage carefully and choose the best answer to each question out of the four alternatives.
Eight north Indian Ocean countries, namely, Bangladesh, India, the Maldives, Myanmar, Oman, Pakistan, Sri Lanka and Thailand, were asked to contribute names so that a combined list could be compiled. Each country gave eight names and a combined list of 64 names was prepared. This list is currently in use, and all cyclones arising in the north Indian Ocean are named from this list, with one name from each country being used in turn. Almost 38 or 39 names from the list have been used up, but since many cyclones dissipate long before they hit land, their names rarely figure in the papers or other media. The names that people do know about, and remember are, naturally, those that were most destructive ones, or very recent. Aila, in 2009 is remembered with a shudder for the enormous destruction it caused in West Bengal and Bangladesh; Phaillin, also for the damage it caused when it hit the Odisha coast in 2013. Two harmless cyclones, which also might remain in peoples memory, are the more recent ones of 2014 — Hudhud, which threatened the east coast of India and Nilofar, which was expected to, but did not, devastate the western coast. The names in the cyclone list are usually words one associates with storms; words which mean water or wind or lightning in various national languages. Sometimes they are names of other things — birds or flowers or precious stones. The name Aila, contributed by the Maldives means fire, the name Phaillin from Thailand means sapphire, the name Hudhud from Oman is the name of a bird, probably the hoopoe, and the name Nilofar, given by Pakistan, is the Urdu name of the lotus or water lily. The eight names suggested by India, and which are in the list of 64, are Agni, Akaash, Bijli, Jal, Leher, Megh, Sagar and Vayu, meaning in that order, fire, sky, lightning, water, wave, cloud, sea and wind. Five of these names (that is, up to Leher) have been used so far.
Which country did not contribute to the list of the cyclone names?
Ramesh is 70% more efficient than Rakesh, but 20% less efficient than Vijay. If Rakesh is 40% more efficient than Suresh, and Vijay is 15% less efficient than Dinesh, then Dinesh is what percent more efficient than Suresh?
Which of the following assertions are CORRECT? P: Adding 7 to each entry in a list adds 7 to the mean of the list Q: Adding 7 to each entry in a list adds 7 to the standard deviation of the list R: Doubling each entry in a list doubles the mean of the list S: Doubling each entry in a list leaves the standard deviation of the list unchanged
In which case adjacency list is preferred in front of an adjacency matrix?
Read the passage carefully and choose the best answer to each question out of the four alternatives.
Eight north Indian Ocean countries, namely, Bangladesh, India, the Maldives, Myanmar, Oman, Pakistan, Sri Lanka and Thailand, were asked to contribute names so that a combined list could be compiled. Each country gave eight names and a combined list of 64 names was prepared. This list is currently in use, and all cyclones arising in the north Indian Ocean are named from this list, with one name from each country being used in turn. Almost 38 or 39 names from the list have been used up, but since many cyclones dissipate long before they hit land, their names rarely figure in the papers or other media. The names that people do know about, and remember are, naturally, those that were most destructive ones, or very recent. Aila, in 2009 is remembered with a shudder for the enormous destruction it caused in West Bengal and Bangladesh; Phaillin, also for the damage it caused when it hit the Odisha coast in 2013. Two harmless cyclones, which also might remain in peoples memory, are the more recent ones of 2014 — Hudhud, which threatened the east coast of India and Nilofar, which was expected to, but did not, devastate the western coast. The names in the cyclone list are usually words one associates with storms; words which mean water or wind or lightning in various national languages. Sometimes they are names of other things — birds or flowers or precious stones. The name Aila, contributed by the Maldives means fire, the name Phaillin from Thailand means sapphire, the name Hudhud from Oman is the name of a bird, probably the hoopoe, and the name Nilofar, given by Pakistan, is the Urdu name of the lotus or water lily. The eight names suggested by India, and which are in the list of 64, are Agni, Akaash, Bijli, Jal, Leher, Megh, Sagar and Vayu, meaning in that order, fire, sky, lightning, water, wave, cloud, sea and wind. Five of these names (that is, up to Leher) have been used so far.
For the next cyclone if it is the turn of an Indian name to be chosen, then what will be that name?
Read the passage carefully and choose the best answer to each question out of the four alternatives.
Eight north Indian Ocean countries, namely, Bangladesh, India, the Maldives, Myanmar, Oman, Pakistan, Sri Lanka and Thailand, were asked to contribute names so that a combined list could be compiled. Each country gave eight names and a combined list of 64 names was prepared. This list is currently in use, and all cyclones arising in the north Indian Ocean are named from this list, with one name from each country being used in turn. Almost 38 or 39 names from the list have been used up, but since many cyclones dissipate long before they hit land, their names rarely figure in the papers or other media. The names that people do know about, and remember are, naturally, those that were most destructive ones, or very recent. Aila, in 2009 is remembered with a shudder for the enormous destruction it caused in West Bengal and Bangladesh; Phaillin, also for the damage it caused when it hit the Odisha coast in 2013. Two harmless cyclones, which also might remain in peoples memory, are the more recent ones of 2014 — Hudhud, which threatened the east coast of India and Nilofar, which was expected to, but did not, devastate the western coast. The names in the cyclone list are usually words one associates with storms; words which mean water or wind or lightning in various national languages. Sometimes they are names of other things — birds or flowers or precious stones. The name Aila, contributed by the Maldives means fire, the name Phaillin from Thailand means sapphire, the name Hudhud from Oman is the name of a bird, probably the hoopoe, and the name Nilofar, given by Pakistan, is the Urdu name of the lotus or water lily. The eight names suggested by India, and which are in the list of 64, are Agni, Akaash, Bijli, Jal, Leher, Megh, Sagar and Vayu, meaning in that order, fire, sky, lightning, water, wave, cloud, sea and wind. Five of these names (that is, up to Leher) have been used so far.
Which of the following names is a type of a precious stone?
Read the passage carefully and choose the best answer to each question out of the four alternatives.
Eight north Indian Ocean countries, namely, Bangladesh, India, the Maldives, Myanmar, Oman, Pakistan, Sri Lanka and Thailand, were asked to contribute names so that a combined list could be compiled. Each country gave eight names and a combined list of 64 names was prepared. This list is currently in use, and all cyclones arising in the north Indian Ocean are named from this list, with one name from each country being used in turn. Almost 38 or 39 names from the list have been used up, but since many cyclones dissipate long before they hit land, their names rarely figure in the papers or other media. The names that people do know about, and remember are, naturally, those that were most destructive ones, or very recent. Aila, in 2009 is remembered with a shudder for the enormous destruction it caused in West Bengal and Bangladesh; Phaillin, also for the damage it caused when it hit the Odisha coast in 2013. Two harmless cyclones, which also might remain in peoples memory, are the more recent ones of 2014 — Hudhud, which threatened the east coast of India and Nilofar, which was expected to, but did not, devastate the western coast. The names in the cyclone list are usually words one associates with storms; words which mean water or wind or lightning in various national languages. Sometimes they are names of other things — birds or flowers or precious stones. The name Aila, contributed by the Maldives means fire, the name Phaillin from Thailand means sapphire, the name Hudhud from Oman is the name of a bird, probably the hoopoe, and the name Nilofar, given by Pakistan, is the Urdu name of the lotus or water lily. The eight names suggested by India, and which are in the list of 64, are Agni, Akaash, Bijli, Jal, Leher, Megh, Sagar and Vayu, meaning in that order, fire, sky, lightning, water, wave, cloud, sea and wind. Five of these names (that is, up to Leher) have been used so far.
Names of which type of cyclones do people remember?