Contents
- 1 How do you generate all possible paths on a graph?
- 2 How do you find the length of a path on a graph?
- 3 Which of the following can be used to find if there exists a path between node’s to node t in a graph?
- 4 What is a path of length 2?
- 5 Is there a path of length k?
- 6 What is the difference between a trail and a path?
How do you generate all possible paths on a graph?
Consider the following directed graph. Let the s be 2 and d be 3….Approach:
- The idea is to do Depth First Traversal of given directed graph.
- Start the DFS traversal from source.
- Keep storing the visited vertices in an array or HashMap say ‘path[]’.
- If the destination vertex is reached, print contents of path[].
How do you find the length of a path on a graph?
In a graph, a path is a sequence of nodes in which each node is connected by an edge to the next. The path length corresponds to the number of edges in the path. For example, in the network above the paths between A and F are: ACDF, ACEF, ABCDF, ABCEF, with path lengths 3,3,4,4 respectively.
Which of the following can be used to find if there exists a path between node’s to node t in a graph?
Approach: Either Breadth First Search (BFS) or Depth First Search (DFS) can be used to find path between two vertices.
How many paths are there from vertex 1 to vertex 5 of length?
Answer: If a graph has 5 vertices then within vertex 1 to vertex 5 there will be 4 edges. As we know that if a graph has v number of vertices the it will has v-1 number of directed edges. Therefore for this problem it will be 5-1 or 4 edges.
How many paths does a graph have?
A path is a route between any two vertices. If a graph has two nodes A and B, there are two paths with one vertex, A and B, and two paths AB and BA with two vertices. If a graph has three vertices A, B and C, there are three paths with one node, A, B and C.
What is a path of length 2?
a path of length 2 from u to v is u->u0->v (where u0 is a different vertex in the graph). in a clique you can choose each of the n-2 (all but u,v) to be u0. so you have n-2 paths between each two nodes – of length 2.
Is there a path of length k?
A walk of length k is a sequence v0,e1,v1,e2,…,ek,vk of vertices and edges such that ei=vi−1vi for all i. A path is a walk with no repeated vertex.
What is the difference between a trail and a path?
A trail is a walk without repeated edges. A path is a walk without repeated vertices. Definition: A walk (trail) is closed if it begins and ends at the same vertex. A closed trail whose origin and internal vertices are distinct is a cycle.