1. Define a path between two vertices. 2. What is a simple path? 3. What is a cy
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Question
1. Define a path between two vertices.
2. What is a simple path?
3. What is a cycle?
4. What is a simple cycle?
5. What is a complete graph?
6. What is a self edge?
7. What is a weighted graph?
8. What are two differences between a directed graph and an undirected graph?
9. What are the two most common implementations of a graph?
10. How does the depth-first search (DFS) strategy of graph traversal differ from the breadth-first search (BFS) strategy?
11. What is a spanning tree?
12. What is a minimum spanning tree?
13. How is the cost of a spanning tree calculated?
14. What is the shortest path between two vertices in a weighted graph?
15. What is a planar graph?
Explanation / Answer
1. The path between two vertices of a graph is defined as length of shortest path between the two vertices, if there exists one, and otherwise the distance becomes infinity.
2. A simple path is a path in which there are no repeating vertices.
3. A cycle in a graph G, also known as a circuit if the start vertex is not given, can be defined as a subset of set of edges in G which forms a path in such a way that the start node of the path corresponds to the end node.
4. A simple cycle can be defined as a closed walk in which vertices and edges are not repeated apart from start and end vertex.
5. A complete graph is defined as simple undirected graph where a unique edge connect a pair of unique vertices. is connected by a unique edge
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