You are given input as order of graph n (highest number of edges connected to a node), you have to find the number of vertices in a Hypercube graph of order n.
Input : n = 3 Output : 8 Input : n = 2 Output : 4
In hypercube graph Q(n), n represents the degree of the graph. Hypercube graph represents the maximum number of edges that can be connected to a graph to make it an n degree graph, every vertex has same degree n and in that representation, only a fixed number of edges and vertices are added as shown in the figure below:
All hypercube graphs are Hamiltonian, hypercube graph of order n has (2^n) vertices, , for input n as the order of graph we have to find the corresponding power of 2.
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- Depth First Search or DFS for a Graph
- Detect Cycle in a Directed Graph
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- 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
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- Longest Path in a Directed Acyclic Graph
- Detect cycle in an undirected graph
- Graph Coloring | Set 1 (Introduction and Applications)
- Graph Coloring | Set 2 (Greedy Algorithm)
- Euler Circuit in a Directed Graph
- Shortest path with exactly k edges in a directed and weighted graph
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