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Q: What is a complete hamilitionian graph?
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Is the complete graph on 5 vertices planar?

No, the complete graph of 5 vertices is non planar. because we cant make any such complete graph which draw without cross over the edges . if there exist any crossing with respect to edges then the graph is non planar.Note:- a graph which contain minimum one edge from one vertex to another is called as complete graph...


How do you complete a circle graph?

you fill it in


Is finding the longest path in a graph an NP-complete problem?

Yes, finding the longest path in a graph is an NP-complete problem.


How many triangles are there in a complete graph?

The number of triangles in a complete graph with n nodes is n*(n-1)*(n-2) / 6.


What is the automorphism group of a complete bipartite graph?

The automorphism group of a complete bipartite graph K_n,n is (S_n x S_n) semidirect Z_2.


Is automorphism of complete graph is a symmetric group?

Yes!


Is it possible to have a complete graph with 46 363 edges?

No.


How many perfect matchings are there in a complete graph of 6 vertices?

15


What is the complexity of solving the k-color problem on a given graph?

The complexity of solving the k-color problem on a given graph is NP-complete.


Is determining the minimum spanning tree of a graph an NP-complete problem?

Determining the minimum spanning tree of a graph is not an NP-complete problem. It can be solved in polynomial time using algorithms like Prim's or Kruskal's algorithm.


When the points on a graph are connected and it makes sense to connect them?

No.If the points on the graph are connected then they are already connected so it would be complete waste of time to connect them.


What does a quadratic equation graph have with a negative discriminant?

It has a complete lack of any x-intercepts.