Given a graph G, the task is to check if it represents a Ring Topology.
A Ring Topology is the one shown in the image below:
Input : Graph = Output : YES Input : Graph = Output : NO
A graph of V vertices represents a Ring topology if it satisfies the following three conditions:
- Number of vertices >= 3.
- All vertices should have degree 2.
- No of edges = No of Vertices.
The idea is to traverse the graph and check if it satisfies the above three conditions. If yes, then it represents a Ring Topology otherwise not.
Below is the implementation of the above approach:
Time Complexity: O(V + E) where V and E are the numbers of vertices and edges in the graph respectively.
- Check if the given graph represents a Bus Topology
- Check if the given graph represents a Star Topology
- Check for star graph
- Check if a given graph is Bipartite using DFS
- Check if a given graph is tree or not
- Check whether a given graph is Bipartite or not
- Check if a directed graph is connected or not
- Check if the given permutation is a valid DFS of graph
- Check if a given tree graph is linear or not
- Check if removing a given edge disconnects a graph
- Check if there is a cycle with odd weight sum in an undirected graph
- Check if a graph is strongly connected | Set 1 (Kosaraju using DFS)
- Two Clique Problem (Check if Graph can be divided in two Cliques)
- Check whether given degrees of vertices represent a Graph or Tree
- Check if a given directed graph is strongly connected | Set 2 (Kosaraju using BFS)
If you like GeeksforGeeks and would like to contribute, you can also write an article using contribute.geeksforgeeks.org or mail your article to email@example.com. See your article appearing on the GeeksforGeeks main page and help other Geeks.
Please Improve this article if you find anything incorrect by clicking on the "Improve Article" button below.