The following graph G is called a Petersen graph and its vertices have been numbered from 0 to 9. Some letters have also been assigned to vertices of G, as can be seen from the following picture:
Let’s consider a walk W in graph G, which consists of L vertices W1, W2, …, WL. A string S of L letters 'A' – 'E' is realized by walk W if the sequence of letters written along W is equal to S. Vertices can be visited multiple times while walking along W.
For example, S = 'ABBECCD' is realized by W = (0, 1, 6, 9, 7, 2, 3). Determine whether there is a walk W which realizes a given string S in graph G, and if so then find the lexicographically least such walk. The only line of input contains one string S. If there is no walk W which realizes S, then output -1 otherwise, you should output the least lexicographical walk W which realizes S.
Input : s = 'ABB' Output: 016 Explanation: As we can see in the graph the path from ABB is 016. Input : s = 'AABE' Output :-1 Explanation: As there is no path that exists, hence output is -1.
We apply breadth first search to visit each vertex of the graph.
This article is contributed by Sunidhi Chaudhary. If you like GeeksforGeeks and would like to contribute, you can also write an article using contribute.geeksforgeeks.org or mail your article to firstname.lastname@example.org. See your article appearing on the GeeksforGeeks main page and help other Geeks.
Please write comments if you find anything incorrect, or you want to share more information about the topic discussed above.
- Applications of Minimum Spanning Tree Problem
- Breadth First Search or BFS for a Graph
- Find if there is a path between two vertices in a directed graph
- Depth First Search or DFS for a Graph
- Detect Cycle in a Directed Graph
- m Coloring Problem | Backtracking-5
- Disjoint Set (Or Union-Find) | Set 1 (Detect Cycle in an Undirected Graph)
- Graph and its representations
- Transitive closure of a graph
- Check whether a given graph is Bipartite or not
- Shortest Path in Directed Acyclic Graph
- Bridges in a graph
- Articulation Points (or Cut Vertices) in a Graph
- Biconnected graph
- Check if a graph is strongly connected | Set 1 (Kosaraju using DFS)