Graph Algorithms _Dfs_ Bfs_ Dijkstras_ Etc — Part 1 MCQs with Explanations

Dijkstra's Algorithm is the correct answer to “Which algorithm is used to find the shortest path from a source node to all other nodes in a graph with non-negative weights”. This question is standard in competitive examination syllabi for Graph Algorithms _Dfs_ Bfs_ Dijkstras_ Etc.

O(V + E) is the correct answer to “What is the time complexity of Breadth-First Search (BFS) on a graph with V vertices and E edges”. This question is standard in competitive examination syllabi for Graph Algorithms _Dfs_ Bfs_ Dijkstras_ Etc.

Preorder is the correct answer to “In Depth-First Search (DFS), what is the order of visiting nodes”. This question is standard in competitive examination syllabi for Graph Algorithms _Dfs_ Bfs_ Dijkstras_ Etc.

Bellman-Ford Algorithm is the correct answer to “Which algorithm can be used to detect negative weight cycles in a graph”. This question is standard in competitive examination syllabi for Graph Algorithms _Dfs_ Bfs_ Dijkstras_ Etc.

BFS explores nodes level by level; DFS explores nodes deeply first. is the correct answer to “What is the primary difference between BFS and DFS”. This question is standard in competitive examination syllabi for Graph Algorithms _Dfs_ Bfs_ Dijkstras_ Etc.

Queue is the correct answer to “What data structure is commonly used to implement BFS”. This question is standard in competitive examination syllabi for Graph Algorithms _Dfs_ Bfs_ Dijkstras_ Etc.

It can handle negative weight edges. is the correct answer to “Which of the following is not a property of Dijkstra's algorithm”. This question is standard in competitive examination syllabi for Graph Algorithms _Dfs_ Bfs_ Dijkstras_ Etc.

Recursive is the correct answer to “What type of graph traversal does Depth-First Search (DFS) utilize”. This question is standard in competitive examination syllabi for Graph Algorithms _Dfs_ Bfs_ Dijkstras_ Etc.

When there are negative weight edges in the graph. is the correct answer to “In which of the following scenarios is the Bellman-Ford algorithm preferred over Dijkstra's algorithm”. This question is standard in competitive examination syllabi for Graph Algorithms _Dfs_ Bfs_ Dijkstras_ Etc.

O((V + E) log V) is the correct answer to “What is the time complexity of Dijkstra's algorithm using a binary heap priority queue”. This question is standard in competitive examination syllabi for Graph Algorithms _Dfs_ Bfs_ Dijkstras_ Etc.

To connect all nodes with minimum total edge weight. is the correct answer to “What is the main purpose of a Minimum Spanning Tree (MST) algorithm like Prim's or Kruskal's”. This question is standard in competitive examination syllabi for Graph Algorithms _Dfs_ Bfs_ Dijkstras_ Etc.

Depth-First Search (DFS) is the correct answer to “Which traversal algorithm uses a stack as its primary data structure”. This question is standard in competitive examination syllabi for Graph Algorithms _Dfs_ Bfs_ Dijkstras_ Etc.

Using a queue is the correct answer to “In BFS, how do you keep track of the nodes to be visited”. This question is standard in competitive examination syllabi for Graph Algorithms _Dfs_ Bfs_ Dijkstras_ Etc.

To store the previous node for each node. is the correct answer to “What is the role of the 'parent' array in the implementation of Dijkstra's algorithm”. This question is standard in competitive examination syllabi for Graph Algorithms _Dfs_ Bfs_ Dijkstras_ Etc.

Finding the shortest path in an unweighted graph. is the correct answer to “In which case is the BFS traversal algorithm particularly useful”. This question is standard in competitive examination syllabi for Graph Algorithms _Dfs_ Bfs_ Dijkstras_ Etc.

To detect cycles in a graph. is the correct answer to “What is the primary use of the Depth-First Search (DFS) algorithm in graph theory”. This question is standard in competitive examination syllabi for Graph Algorithms _Dfs_ Bfs_ Dijkstras_ Etc.

Breadth-First Search (BFS) is the correct answer to “Which algorithm is used for finding the shortest path in a graph with all edges having the same weight”. This question is standard in competitive examination syllabi for Graph Algorithms _Dfs_ Bfs_ Dijkstras_ Etc.

O(V2) is the correct answer to “What is the space complexity of storing an adjacency matrix for a graph with V vertices”. This question is standard in competitive examination syllabi for Graph Algorithms _Dfs_ Bfs_ Dijkstras_ Etc.

Prim's Algorithm and Kruskal's Algorithm is the correct answer to “Which of the following algorithms can be used to find the Minimum Spanning Tree (MST) of a graph”. This question is standard in competitive examination syllabi for Graph Algorithms _Dfs_ Bfs_ Dijkstras_ Etc.

It visits all nodes in a specific order. is the correct answer to “What is the primary characteristic of a graph traversal algorithm like BFS or DFS”. This question is standard in competitive examination syllabi for Graph Algorithms _Dfs_ Bfs_ Dijkstras_ Etc.

It becomes O(E + V log V) is the correct answer to “How does the time complexity of Dijkstra's algorithm change when using a Fibonacci heap”. This question is standard in competitive examination syllabi for Graph Algorithms _Dfs_ Bfs_ Dijkstras_ Etc.

Dijkstra's Algorithm is the correct answer to “In a weighted graph, which algorithm is suitable for finding the shortest path from a single source to a specific target node”. This question is standard in competitive examination syllabi for Graph Algorithms _Dfs_ Bfs_ Dijkstras_ Etc.

To check the connectivity of a graph. is the correct answer to “What is a primary use case for Depth-First Search (DFS)”. This question is standard in competitive examination syllabi for Graph Algorithms _Dfs_ Bfs_ Dijkstras_ Etc.

Bellman-Ford Algorithm is the correct answer to “Which of the following algorithms is best suited for finding the shortest path in a graph with negative edge weights”. This question is standard in competitive examination syllabi for Graph Algorithms _Dfs_ Bfs_ Dijkstras_ Etc.

A path that revisits the starting node. is the correct answer to “In the context of graph algorithms, what does a "cycle" refer to”. This question is standard in competitive examination syllabi for Graph Algorithms _Dfs_ Bfs_ Dijkstras_ Etc.

Both BFS and DFS is the correct answer to “Which traversal algorithm is guaranteed to visit all nodes at least once”. This question is standard in competitive examination syllabi for Graph Algorithms _Dfs_ Bfs_ Dijkstras_ Etc.

To store the shortest distance from the source to each node. is the correct answer to “What is the purpose of the 'distance' array in Dijkstra's algorithm”. This question is standard in competitive examination syllabi for Graph Algorithms _Dfs_ Bfs_ Dijkstras_ Etc.

When finding shortest paths between all pairs of nodes. is the correct answer to “In which case is the Floyd-Warshall algorithm preferred”. This question is standard in competitive examination syllabi for Graph Algorithms _Dfs_ Bfs_ Dijkstras_ Etc.

To find the shortest path in graphs with negative weights. is the correct answer to “What is a common use case of the Bellman-Ford algorithm”. This question is standard in competitive examination syllabi for Graph Algorithms _Dfs_ Bfs_ Dijkstras_ Etc.

By exploring all nodes at the current level before moving to the next level. is the correct answer to “How does the BFS algorithm ensure that the shortest path is found in an unweighted graph”. This question is standard in competitive examination syllabi for Graph Algorithms _Dfs_ Bfs_ Dijkstras_ Etc.

BFS always finds the shortest path in an unweighted graph. is the correct answer to “Which of the following is true about the BFS algorithm in terms of shortest path”. This question is standard in competitive examination syllabi for Graph Algorithms _Dfs_ Bfs_ Dijkstras_ Etc.

Directed and undirected graphs is the correct answer to “What type of graph does the DFS algorithm explore in a systematic manner”. This question is standard in competitive examination syllabi for Graph Algorithms _Dfs_ Bfs_ Dijkstras_ Etc.

O(V + E) is the correct answer to “What is the time complexity of BFS when implemented using an adjacency list”. This question is standard in competitive examination syllabi for Graph Algorithms _Dfs_ Bfs_ Dijkstras_ Etc.

Dijkstra's Algorithm is the correct answer to “Which algorithm is suitable for finding the shortest path in a graph with varying weights”. This question is standard in competitive examination syllabi for Graph Algorithms _Dfs_ Bfs_ Dijkstras_ Etc.

When you need the shortest path between all pairs of nodes. is the correct answer to “In which situation is it appropriate to use the Floyd-Warshall algorithm”. This question is standard in competitive examination syllabi for Graph Algorithms _Dfs_ Bfs_ Dijkstras_ Etc.

An edge that connects a node to its ancestor in the DFS tree. is the correct answer to “What does the term "back edge" refer to in DFS”. This question is standard in competitive examination syllabi for Graph Algorithms _Dfs_ Bfs_ Dijkstras_ Etc.

It can handle them and detect negative weight cycles. is the correct answer to “How does the Bellman-Ford algorithm handle negative edge weights”. This question is standard in competitive examination syllabi for Graph Algorithms _Dfs_ Bfs_ Dijkstras_ Etc.

Adjacency list is the correct answer to “In which graph representation is it more efficient to perform BFS, an adjacency matrix or an adjacency list”. This question is standard in competitive examination syllabi for Graph Algorithms _Dfs_ Bfs_ Dijkstras_ Etc.

Dynamic Programming is the correct answer to “Which algorithm is used to find the longest path in a Directed Acyclic Graph (DAG)”. This question is standard in competitive examination syllabi for Graph Algorithms _Dfs_ Bfs_ Dijkstras_ Etc.

Every path from the root to a leaf has the same number of black nodes. is the correct answer to “What is the key property of a Red-Black tree that helps in balancing the tree during insertions and deletions”. This question is standard in competitive examination syllabi for Graph Algorithms _Dfs_ Bfs_ Dijkstras_ Etc.