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Which of the following is an advantage of adjacency list representation over adjacency matrix representation of a graph?
- a)In adjacency list representation, space is saved for sparse graphs.
- b)DFS and BSF can be done in O(V + E) time for adjacency list representation. These operations take O(V^2) time in adjacency matrix representation. Here is V and E are number of vertices and edges respectively.
- c)Adding a vertex in adjacency list representation is easier than adjacency matrix representation.
- d)All of the above
Correct answer is option 'D'. Can you explain this answer?
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Which of the following is an advantage of adjacency list representatio...
An array of lists is used. The size of the array is equal to the number of vertices. Let the array be an array[]. An entry array[i] represents the list of vertices adjacent to the ith vertex. This representation can also be used to represent a weighted graph. The weights of edges can be represented as lists of pairs.
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Which of the following is an advantage of adjacency list representatio...
Advantages of Adjacency List Representation over Adjacency Matrix Representation
Adjacency list and adjacency matrix are two common ways to represent a graph. Both have their own advantages and disadvantages. However, when it comes to saving space and time complexity, adjacency list representation wins over adjacency matrix representation. Here are some advantages of adjacency list representation over adjacency matrix representation:
1. Space Efficiency:
- In adjacency list representation, space is saved for sparse graphs.
- Sparse graphs have fewer edges and more disconnected vertices.
- Adjacency list representation only stores the connected vertices for each vertex, so it saves space for disconnected vertices.
- As a result, adjacency list representation requires less space than adjacency matrix representation for sparse graphs.
2. Time Efficiency:
- DFS and BSF can be done in O(V+E) time for adjacency list representation.
- These operations take O(V^2) time in adjacency matrix representation.
- Here, V and E are the number of vertices and edges respectively.
- Adjacency list representation is faster than adjacency matrix representation for large graphs with many vertices and fewer edges.
3. Easy to Add/Delete Vertices:
- Adding a vertex in adjacency list representation is easier than adjacency matrix representation.
- In adjacency matrix representation, adding a vertex requires adding a new row and column to the matrix, which is time-consuming.
- In adjacency list representation, adding a vertex only requires adding a new node to the linked list, which is easier and faster.
Conclusion:
In conclusion, adjacency list representation is more space-efficient, time-efficient and easier to add/delete vertices than adjacency matrix representation. Therefore, adjacency list representation is preferred for sparse graphs and large graphs with fewer edges.
Adjacency list and adjacency matrix are two common ways to represent a graph. Both have their own advantages and disadvantages. However, when it comes to saving space and time complexity, adjacency list representation wins over adjacency matrix representation. Here are some advantages of adjacency list representation over adjacency matrix representation:
1. Space Efficiency:
- In adjacency list representation, space is saved for sparse graphs.
- Sparse graphs have fewer edges and more disconnected vertices.
- Adjacency list representation only stores the connected vertices for each vertex, so it saves space for disconnected vertices.
- As a result, adjacency list representation requires less space than adjacency matrix representation for sparse graphs.
2. Time Efficiency:
- DFS and BSF can be done in O(V+E) time for adjacency list representation.
- These operations take O(V^2) time in adjacency matrix representation.
- Here, V and E are the number of vertices and edges respectively.
- Adjacency list representation is faster than adjacency matrix representation for large graphs with many vertices and fewer edges.
3. Easy to Add/Delete Vertices:
- Adding a vertex in adjacency list representation is easier than adjacency matrix representation.
- In adjacency matrix representation, adding a vertex requires adding a new row and column to the matrix, which is time-consuming.
- In adjacency list representation, adding a vertex only requires adding a new node to the linked list, which is easier and faster.
Conclusion:
In conclusion, adjacency list representation is more space-efficient, time-efficient and easier to add/delete vertices than adjacency matrix representation. Therefore, adjacency list representation is preferred for sparse graphs and large graphs with fewer edges.
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Which of the following is an advantage of adjacency list representation over adjacency matrix representation of a graph?a)In adjacency list representation, space is saved for sparse graphs.b)DFS and BSF can be done in O(V + E) time for adjacency list representation. These operations take O(V^2) time in adjacency matrix representation. Here is V and E are number of vertices and edges respectively.c)Adding a vertex in adjacency list representation is easier than adjacency matrix representation.d)All of the aboveCorrect answer is option 'D'. Can you explain this answer?
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Which of the following is an advantage of adjacency list representation over adjacency matrix representation of a graph?a)In adjacency list representation, space is saved for sparse graphs.b)DFS and BSF can be done in O(V + E) time for adjacency list representation. These operations take O(V^2) time in adjacency matrix representation. Here is V and E are number of vertices and edges respectively.c)Adding a vertex in adjacency list representation is easier than adjacency matrix representation.d)All of the aboveCorrect answer is option 'D'. Can you explain this answer? for Computer Science Engineering (CSE) 2024 is part of Computer Science Engineering (CSE) preparation. The Question and answers have been prepared according to the Computer Science Engineering (CSE) exam syllabus. Information about Which of the following is an advantage of adjacency list representation over adjacency matrix representation of a graph?a)In adjacency list representation, space is saved for sparse graphs.b)DFS and BSF can be done in O(V + E) time for adjacency list representation. These operations take O(V^2) time in adjacency matrix representation. Here is V and E are number of vertices and edges respectively.c)Adding a vertex in adjacency list representation is easier than adjacency matrix representation.d)All of the aboveCorrect answer is option 'D'. Can you explain this answer? covers all topics & solutions for Computer Science Engineering (CSE) 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for Which of the following is an advantage of adjacency list representation over adjacency matrix representation of a graph?a)In adjacency list representation, space is saved for sparse graphs.b)DFS and BSF can be done in O(V + E) time for adjacency list representation. These operations take O(V^2) time in adjacency matrix representation. Here is V and E are number of vertices and edges respectively.c)Adding a vertex in adjacency list representation is easier than adjacency matrix representation.d)All of the aboveCorrect answer is option 'D'. Can you explain this answer?.
Which of the following is an advantage of adjacency list representation over adjacency matrix representation of a graph?a)In adjacency list representation, space is saved for sparse graphs.b)DFS and BSF can be done in O(V + E) time for adjacency list representation. These operations take O(V^2) time in adjacency matrix representation. Here is V and E are number of vertices and edges respectively.c)Adding a vertex in adjacency list representation is easier than adjacency matrix representation.d)All of the aboveCorrect answer is option 'D'. Can you explain this answer? for Computer Science Engineering (CSE) 2024 is part of Computer Science Engineering (CSE) preparation. The Question and answers have been prepared according to the Computer Science Engineering (CSE) exam syllabus. Information about Which of the following is an advantage of adjacency list representation over adjacency matrix representation of a graph?a)In adjacency list representation, space is saved for sparse graphs.b)DFS and BSF can be done in O(V + E) time for adjacency list representation. These operations take O(V^2) time in adjacency matrix representation. Here is V and E are number of vertices and edges respectively.c)Adding a vertex in adjacency list representation is easier than adjacency matrix representation.d)All of the aboveCorrect answer is option 'D'. Can you explain this answer? covers all topics & solutions for Computer Science Engineering (CSE) 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for Which of the following is an advantage of adjacency list representation over adjacency matrix representation of a graph?a)In adjacency list representation, space is saved for sparse graphs.b)DFS and BSF can be done in O(V + E) time for adjacency list representation. These operations take O(V^2) time in adjacency matrix representation. Here is V and E are number of vertices and edges respectively.c)Adding a vertex in adjacency list representation is easier than adjacency matrix representation.d)All of the aboveCorrect answer is option 'D'. Can you explain this answer?.
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